News 9/2011 Mathematics
D. Ambrosi, Politecnico di Milano, Italy; H. Ammari, École Normale Supérieure, Paris, France M. Audin, Université de Strasbourg, France A. Quarteroni, Ecole Polytechnique Federale (Ed.) Remembering Sofya De Lausanne, Switzerland; G. Rozza, Ecole Mathematical Modeling in Polytechnique Federale de Lausanne, Switzerland Kovalevskaya (Eds) Biomedical Imaging II Modelling of Physiological Optical, Ultrasound, and Opto-Acoustic Sofia Kovalevskaya was a brilliant and determined Tomographies young Russian woman of the 19th century who Flows wanted to become a mathematician and who This volume reports on recent mathematical and succeeded, in often difficult circumstances, in be- computational advances in optical, ultrasound, coming arguably the first woman to have a profes- and opto-acoustic tomographies. It outlines the sional university career in the way we understand Contents state-of-the-art and future directions in these it today. This memoir, written by a mathematician Assumptions in modelling of large artery hemody- fields and provides readers with the most recently who specialises in symplectic geometry and namics by D.A. Steinman. - Simplified blood flow developed mathematical and computational integrable systems, is a personal exploration of the model with discontinous vessel properties by E.F. tools. It is particularly suitable for researchers and life, the writings and the mathematical achieve- Toro and S. Siviglia. - Blood coagulation: a puzzle graduate students in applied mathematics and ments of a remarkable woman. It emphasises the for biologists, a maze for mathematicians by A. biomedical engineering. originality of Kovalevskaya’s work and assesses Fasano et al. - Numerical simulation of electrocar- her legacy and reputation as a mathematician and diagrams by J.F. Gerbeau et al. - Mathematical and Features scientist. Her ideas are explained in a way that is numerical methods for reaction-diffusion models 7 The first book to cover ultrasound, optic, and accessible to a general audience, with diagrams, in electrocardiology by P. Colli-Franzone et al. - opto-acoustic tomographies and to report the marginal notes and commentary to help explain Structurally motivated damage models for arterial most recent mathematical and computational the mathematical concepts and provide context. walls by A.M. Robertson et al. - Arterial growth developments in these fields. 7 The contribu- and remodelling is driven by hemodynamics by tions are written by leading experts in the field of Features L. Cardamone and J.D. Humphrey. - The VPH- mathematical imaging. 7 The contributions are 7 The first biography to be written about Physiome Project: standards, tools and database comprehensible to non-experts. Sofya Kovalevskaya by a renowned mathema- for multi-scale physiological modelling by P. tician 7 Offers a well-rounded narrative that Hunter et al. - Role of the variational formulation Contents incorporates literature, mathematics and personal in the dimensionally-heterogeneous modelling of Direct Reconstruction Methods in Optical biography 7 May also appeal to those doing the human cardiovascular system by P. Blanco and Tomography.- Direct Reconstruction Methods general feminist studies R. Feijoo. - Multiscale modelling of hematologic in Ultrasound Imaging of Small Anomalies.- disorders by G.E. Karniadakis et al. - Multiscale Photoacoustic Imaging for Attenuating Acoustic Contents computational analysis of degradable polymers by Media.- Attenuation Models in Photoacoustics.- Sofya’s chronology.- Sofya’s names.- Stories.- P. Zunino et al. - Applications of variational data Quantitative Photoacoustic Tomography. The thesis of Sofya, the Cauchy–Kovalevskaya assimilitation in computational hemodynamics theorem.- The Solid.- A letter to Mittag-Leffler.- by A. Veneziani et al. - Quality open source mesh Fields of interests Stockholm.- A letter to Vollmar.- The Bordin generation for cardiovascular flow simulations by Applications of Mathematics; Imaging / Radiolo- prize and Sofya’s reputation.- The women of Men E. Marchandise et al. gy; Mathematical Methods in Physics of mathematics.- I remember Sofya, by George, Gösta, Julia and all the rest.- I too remember Fields of interests Target groups Sofya.- Bibliography. Computational Mathematics and Numerical Ana- Graduate lysis; Human Physiology; Mathematical Modeling Fields of interests Product Category and Industrial Mathematics History of Mathematical Sciences; Theoretical and Contributed volume Applied Mechanics; Gender Studies Target groups Research Target groups Popular/general Product Category Monograph Product Category Popular science
Due October 2011 Due September 2011 2012. X, 158 p. 43 illus., 38 in color. (Lecture Notes in Available 2011 2011. X, 240 p. 151 illus., 1 in color. (MS&A, Mathematics / Mathematical Biosciences Subseries, Volume 5) Hardcover Volume 2035) Softcover 2011. IX, 284 p. 97 illus., 47 in color. Hardcover 7 $109.00 7 $49.95 7 $49.95 9
V. Barbu, University Al.I. Cuza, Iasi, Romania; S. Benenti, Università di Torino, Italy K. Berglund, University of Helsinki, Finland T. Precupanu, University Al.I.Cuza, Iasi, Romania Hamiltonian Structures and The Vexing Case of Igor Convexity and Optimization in Generating Families Shafarevich, a Russian Political Banach Spaces This book is an enhanced version of an earlier Thinker An updated and revised edition of the 1986 title Russian edition. Besides thorough revisions, more Features Convexity and Optimization in Banach Spaces, emphasis was put on reordering the topics accor- 7 “The Shafarevich case” discussed in this study this book provides a self-contained presentation of ding to a category-theoretical view. This allows the created a large controversy in the mathematics basic results of the theory of convex sets and func- mathematical results to be stated, proved, and un- community at the beginning of the 1990s about a tions in infinite-dimensional spaces. The main em- derstood in a much easier and elegant way. From fundamental ethical principle: Can scientific ho- phasis is on applications to convex optimization the reviews of the Russian edition: „The main ac- norary societies make demands to their members and convex optimal control problems in Banach cent is shifted to the application . . . in geometrical concerning their non-scientific views? 7 Ano- spaces. A distinctive feature is a strong emphasis optics, thermostatics and control theory, and not ther, even bigger problem in Shafarevich’s case on the connection between theory and applica- to the Hamiltonian mechanics only. . . . To make is that, as this study shows, he was condemned tion. This edition has been updated to include new the book fairly self-contained, full details of basic wrongly, on the basis of superficial groundwork results pertaining to advanced concepts of sub- definitions and all proofs are included. In this way, and tendentious reading of his texts. This study differential for convex functions and new duality the majority of the text can be read without the will hopefully set off Shafarevich’s belated reha- results in convex programming. The last chapter, prerequisite of a course in geometry. bilitation. Mathematicians are often fascinating concerned with convex control problems, has been personalities and Shafarevich is no exception. rewritten and completed with new research con- Features 7 Enhanced version of Russian first editi- cerning boundary control systems, the dynamic Contents on 7 Focuses on Hamiltonian mechanics, as programming equations in optimal control theory 1 igor shafarevich, a lightning rod for controver- well as the application of modern mathematical and periodic optimal control problems. sy.- 2 shafarevich’s early years in the young soviet methods of symplectic geometry and topology state.- 3 shafarevich, the human rights activist.- 4 Features in geometrical optics, thermostatics and control the first disputes about the soviet – and russian 7 This book provides a strong emphasis on the theory 7 Self-contained with full details of basic – future.- 5 from under the rubble, shafarevich’s link between abstract theory and applications notions of calculus on manifolds in the first two and solzhenitsyn’s joint project.- 6 shafarevich’s to convex optimization 7 Chapters end with chapters addresses until the early 1980s.- 7 shafarevich’s an informative ‘bibliographic notes’ section for first statements during the era of glasnost.- 8 rus- further reading 7 Includes fundamental results Contents sophobia.- 9 the rapid political changes of the late of infinite-dimensional convex analysis Preface.- Basic Notions of Calculus on Ma- nifolds.- Relations.- Symplectic Relations on 1980s early 1990s.- 10 critique of techno-scientific Contents Symplectic Manifolds.- Symplectic Relations on civilisation .- 11 some conclusions.- sources and Fundamentals of Functional Analysis.- Convex Cotangent Bundles.- Canonical Lift on Cotangent literature.- index of personal names. Functions.- Convex Programming.- Convex Con- Bundles.-The Geometry of the Hamilton-Jacobi Fields of interest trol Problems in Banach Spaces. Equation.- Hamiltonian Optics in Euclidean Mathematics in the Humanities and Social Sci- Spaces.- Control of Static Systems.- Supplementa- ences Fields of interest ry Topics.- Global Hamilton Principal Functions Optimization on S2 and H2.- References.- Index. Target groups Target groups Fields of interests Research Research Global Analysis and Analysis on Manifolds; Sys- Product Category tems Theory, Control; Mathematical Applications Product Category Monograph in the Physical Sciences Monograph Target groups Graduate
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Due December 2011 Due October 2011 Due November 2011 3rd rev. and enlarged ed. 2012. XII, 352 p. (Springer Monographs in Mathematics) Hardcover 2011. XIV, 258 p. 49 illus. (Universitext) Softcover 2012. VIII, 549 p. Hardcover 7 $124.00 7 $59.95 7 $129.00 9
S. Bianchini, SISSA, Trieste, Italy; E. A. Carlen, V. Blomer, University of Toronto, ON, Canada; J. Blowey, M. Jensen, Durham University, UK (Eds) Rutgers University, Piscataway NJ, USA; A. Mielke, P. Mihăilescu, University of Gottingen, Germany WIAS, Berlin, Germany; C. Villani, Université de Lyon, (Eds) Frontiers in Numerical Analysis France Contributions in Analytic and - Durham 2010 Nonlinear PDE’s and Algebraic Number Theory This book contains detailed lecture notes on four Applications Festschrift for S. J. Patterson topics at the forefront of current research in com- C.I.M.E. Summer School, Cetraro, Italy 2008, putational mathematics. Each set of notes presents Editors: Luigi Ambrosio, Giuseppe Savaré Features a self-contained guide to a current research area 7 Contributed volume is dedicated to Samual J. and has an extensive bibliography. In addition, This volume collects the notes of the CIME course Patterson, and many of the articles in this volume most of the notes contain detailed proofs of the „Nonlinear PDE’s and applications“ held in Cetra- were presented at the conference “Patterson 60++” key results. The notes start from a level suitable for ro (Italy) on June 23–28, 2008. It consists of four at the University of Göttingen in July 2009 on the first year graduate students in applied mathema- series of lectures, delivered by Stefano Bianchini occasion of his 60th birthday 7 This volume tics, mathematical analysis or numerical analysis, (SISSA, Trieste), Eric A. Carlen (Rutgers Universi- covers a broad range of topics within the vast field and proceed to current research topics. The reader ty), Alexander Mielke (WIAS, Berlin), and Cédric of number theory and appeals to a broad reader- should therefore be able to gain quickly an insight Villani (Ecole Normale Superieure de Lyon). They ship 7 Contributions to the book are the work into the important results and techniques in presented a broad overview of far-reaching fin- of an international and select group of first-rate each area without recourse to the large research dings and exciting new developments concerning, experts in the field of analytic number theory literature. Current (unsolved) problems are also in particular, optimal transport theory, nonlinear described and directions for future research are gi- Contents evolution equations, functional inequalities, and ven. This book is also suitable for professional ma- differential geometry. Preface.- The Density of Rational Points on a thematicians who require a succint and accurate Certain Threefold (V. Blomer, J. Brüdern).- Affine account of recent research in areas parallel to their Features Gindikin-Karpelevich Formula via Uhlenbech own, and graduates in mathematical sciences. 7 A broad overview on some deep results and Spaces (A. Braverman, M. Finklberg, D. Kazh- new exciting developments 7 Contribution of dan).- Daniel’s Twists of Hooley’s Delta Function Features leading experts 7 Accessible introduction to new (J. Brüdern).- Coefficients of the n-fold Theta 7 Current research areas are introduced on the theories and results Function and Weyl Group Multiple (B. Brubaker, right level for first-year graduate students 7 To- D. Bump, S. Friedberg, J. Hoffstein).- Towards the pics are usually not covered in text books 7 Au- Contents Trace Formula for Convex-cocompact Groups (U. thors are distinguished scientists in their field Transport Rays and Applications to Hamilton- Bunkhe, M. Olbrich).- Double Dirichlet Series Fields of interest Jacobi Equations.- Functional Inequalities and and Theta Functions (G. Chinta, S. Friedberg, Dynamics.- Differential, Energetic, and Metric J. Hoffstein).- The Patterson Measure: Classics, Computational Mathematics and Numerical Formulations for Rate-independent Processes.- Variations, and Applications (M. Denker, B. O. Analysis Optimal Transport and Curvature. Stratmann).- Moments for L-functions for GLr Target groups x GLr–1 (A. Diaconu, P. Garrett, D. Goldfeld).- Graduate Fields of interests Further Remarks on the Exponent of Convergence Analysis; Partial Differential Equations; Calculus and the Hausdorff Dimension of the Limit Set of Product Category of Variations and Optimal Control; Optimization Kleinian Groups (M. R. Hille).- A Note on the Graduate/Advanced undergraduate textbook Target groups Algebraic Growth Rate of Poinecaré Series for Kleinian Groups (M. Kesselböhmer, B. O. Strat- Research mann).- References. Product Category Fields of interest Contributed volume Number Theory
Target groups Research
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Available Due November 2011 Due December 2011 2011. XIII, 224 p. 8 illus., 7 in color. (Lecture Notes in 2012. X, 280 p. 38 illus., 2 in color. (Lecture Notes in Mathematics / C.I.M.E. Foundation Subseries, Volume 2012. XXII, 284 p. (Springer Proceedings in Computational Science and Engineering, Volume 85) 2028) Softcover Mathematics, Volume 9) Hardcover Hardcover 7 $59.95 7 $149.00 7 $59.95 9
V. L. Boginski, University of Florida, Gainesville, P. Brändén, Royal Institute of Technology, G. S. Chirikjian, Johns Hopkins University, Baltimore, FL, USA; C. Commander, Eglin AFB, FL, USA; Stockholm, Sweden; M. Passare, Stockholm MD, USA P. M. Pardalos, University of Florida, Gainesville, FL, University, Sweden; M. Putinar, University of USA; Y. Ye, Stanford University, CA, USA (Eds) California, Santa Barbara, CA, USA (Eds) Stochastic Models, Information Sensors: Theory, Algorithms, Notions of Positivity and the Theory, and Lie Groups, Volume and Applications Geometry of Polynomials 2 Analytic Methods and Modern Applications The book consists of solicited articles from a select group of mathematicians and physicists working at Contents the interface between positivity and the geometry, Contents Preface.- On Enhancing Fault Tolerance of Virtual combinatorics or analysis of polynomials of one Lie Groups I: Introduction and Examples.- Lie Backbone in a Wireless Sensor Network with or several variables. It is dedicated to the memory Groups II: Differential Geometric Properties.- Unidirectional Links (R. Tiwari, M.T. Thai).- of Julius Borcea (1968-2009), a distinguished Lie Groups III: Integration, Convolution, and Constrained Node Placement and Assignment in mathematician, Professor at the University of Fourier Analysis.- Variational Calculus on Lie Mobile Backbone Networks (E.M. Craparo).- Ca- Stockholm. With his extremely original contribu- Groups.- Statistical Mechanics and Ergodic The- nonical Dual Solutions to Sum of Fourth-Order tions and broad vision, his impact on the topics ory.- Parts Entropy and the Principal Kinematic Polynomials Minimization Problems with Appli- of the planned volume cannot be underestimated. Formula.- Estimation and Multivariate Analysis cations to Sensor Network Localization (D.Y. Gao, All contributors knew or have exchanged ideas in R^n.- Information, Communication, and N. Ruan, P.M. Pardalos).- Optimal Estimation of with Dr. Borcea, and their articles reflect, at least Group Therapy.- Algebraic and Geometric Coding Multidimensional Data with Limited Measure- partially, his heritage. ments (W. MacKunis, J. W. Curtis, P.E.K. Berg- Theory.- Information Theory on Lie Groups.- Yuen).- Informational Patterns in Discrete-Time Feature Stochastic Processes on Lie Groups.- Numerical Linear-Quadratic Dynamic Games (M. Pachter, 7 At the interface between positivity and the geo- Group Representation Theory.-Rotational and K.D. Pham).- The Design of Dynamical Inquiring metry, combinatorics or analysis of polynomials Rigid-Body Diffusion.- Kinematic Covariance Systems: A Certainty Equivalent Formalization (L. of one or several variables solicited articles from Propagation.- Biomolecular Conformation and Di Giacomo, G. Patrizi).- Sensors in Transportati- a select group of mathematicians and physicists Information Theory.- Infotaxis.- A Survey of on and Logistics Networks (C. Vogiatzis).- Study dedicated to the memory of Julius Borcea (1968- Additional Applications.- Summary.- Inequalities, of Mobile Mixed Sensing Networks in an Automo- 2009), a distinguished mathematician Convexity, and Rearrangements.- Index. tive Context (A. Chakravarthy, K. Song, J. Peraire, Fields of interests E. Feron).- Navigation in Difficult Environments: Fields of interest Applications of Mathematics; Appl.Mathematics/ Multi-Sensor Fusion Techniques (A. Soloviev, M. Analysis Computational Methods of Engineering; Differen- M. Miller).- A Spectral Clustering Approach for Target groups tial Geometry Modeling Connectivity Patterns in Electroence- Research phalogram Sensor Networks (P. Xanthopoulos, A. Target groups Arulselvan, P. M. Pardalos.). Product Category Research Contributed volume Fields of interests Product Category Optimization; Circuits and Systems; Algorithms Graduate/Advanced undergraduate textbook Target groups Research
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Due December 2011 Due September 2011 Due December 2011 2011. X, 244 p. 73 illus., 56 in color. (Springer Optimization and Its Applications, Volume 61) 2011. XX, 404 p. 16 illus., 2 in color. (Trends in 2012. XXII, 453 p. 10 illus. (Applied and Numerical Hardcover Mathematics) Hardcover Harmonic Analysis) Hardcover 7 $124.00 7 $149.00 7 approx. $59.95 9
S. Coen, Università di Bologna, Italy (Ed.) Z. Cvetkovski, European University R. Macedonia, P. Deuflhard, Zuse-Institut Berlin (ZIB), Germany Mathematicians in Bologna Skopje, Macedonia Newton Methods for Nonlinear 1861–1960 Inequalities Problems Theorems, Techniques and Selected Affine Invariance and Adaptive Algorithms The scientific personalities of L.Cremona, E. Problems Beltrami, S. Pincherle, F. Enriques, Beppo Levi, G. This book deals with the efficient numerical Features Vitali, L. Tonelli, Beniamino Segre and of several solution of challenging nonlinear problems in 7 other mathematicians who worked in Bologna in Contains 458 problems on Algebra-Inequali- science and engineering, both in finite dimension 7 7 the century 1861–1960 are examined by different ties Detailed solutions are given Theore- (algebraic systems) and in infinite dimension authors, in some cases providing different view tical background and techniques for proving in- (ordinary and partial differential equations). Its 7 points. Most contributions in the volume are equalities are provided Ideal for participants of focus is on local and global Newton methods for historical; they reproduce original documents, or national and international mathematical contests direct problems or Gauss-Newton methods for they study the original works and their impact on Contents inverse problems. The term ‚affine invariance‘ later research. The achievements of other mathe- Basic (elementary) inequalities and their ap- means that the presented algorithms and their maticians are investigated for their present-day plication.- Inequalities between means, (with convergence analysis are invariant under one out importance. two and three variables).- Geometric (triangle) of four subclasses of affine transformations of the problem to be solved. Compared to traditional Features inequalities.- Bernoulli’s inequality, the Cau- chy–Schwarz inequality, Chebishev’s inequality, textbooks, the distinguishing affine invariance 7 First book devoted to the study of the influence approach leads to shorter theorems and proofs of the two world wars, 7 Fascism and the setting Surányi’s inequality.- Inequalities between means (general case).- Points of incidence in applications and permits the construction of fully adaptive up of the Italian Republic on scientific studies in algorithms. Lots of numerical illustrations, com- Italy based on the scientific legacies of members of the AM–GM inequality.- The rearrangement inequality.- Convexity, Jensen’s inequality.- Trigo- parison tables, and exercises make the text useful of a single academic environment 7 Significant in computational mathematics classes. At the same and valuable contributions to algebraic geometry, nometric substitutions and their application for proving algebraic inequalities.- The most usual time, the book opens many directions for possible differential geometry, operator and integration future research. theory, real and complex analysis, mathematical forms of trigonometric substitutions.- Charac- physics are studied in a unique historical con- teristic examples, using trigonometric substitu- Fields of interests text 7 Ample account of the mathematical scien- tions.- Hölder’s inequality, Minkowski’s inequality Computational Mathematics and Numerical tific milestones made at the University of Bologna, and their generalizations.- Generalizations of Analysis; Computational Science and Engineering; established in 1088, during the first century of the the Cauchy–Schwarz inequality, Chebishev’s Ordinary Differential Equations Italian state, 1861–1960 inequality and the mean inequalities.- Newton’s inequality, Maclaurin’s inequality.- Schur’s Target groups Fields of interest inequality, Muirhead’s inequality.- Two theorems Graduate History of Mathematical Sciences from differential calculus, and their applications for proving inequalities.- One method of proving Product Category Target groups symmetric inequalities with three variables.- Me- Graduate/Advanced undergraduate textbook Research thod for proving symmetric inequalities with three variables defined on set of real numbers. Product Category Contributed volume Fields of interests Algebra; Popular Science in Mathematics/Compu- ter Science/Natural Science/Technology; Mathe- matics Education
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Due October 2011 Due December 2011 Due November 2011 1st ed. 2004. Corr. 2nd printing 2004. XII, 428 p. 49 illus. (Springer Series in Computational 2012. XII, 550 p. 6 illus. Hardcover 2012. 370 p. Softcover Mathematics, Volume 35) Softcover 7 $179.00 7 $49.95 7 $74.95 9
J. Deuschel, Technische Universität Berlin, Germany; D. A. Di Pietro, IFP Energies nouvelles, Rueil- S. S. Dragomir, Victoria University, Melbourne ,VIC, B. Gentz, Bielefeld University, Germany; W. König, Malmaison, France; A. Ern, Université Paris Est, Australia Weierstrass Institute Berlin, Germany; U. Schmock, Marne-la-Vallée, France Vienna University of Technology, Austria (Eds) Operator Inequalities of the Mathematical Aspects of Jensen, Čebyšev and Grüss Type Probability in Complex Physical Discontinuous Galerkin Systems Methods In Honour of Erwin Bolthausen and Jürgen Features Gärtner This book introduces the basic ideas to build 7 Presents recent results concerning inequalities discontinuous Galerkin methods and, at the same of Jensen, Cebysev and Gruss type for continuous Probabilistic approaches have played a prominent time, incorporates several recent mathematical functions of bounded selfadjoint operators on role in the study of complex physical systems for developments. The presentation is to a large extent complex Hilbert spaces 7 Illustrates fundamen- more than thirty years. This volume collects twen- self-contained and is intended for graduate stu- tal facts concerning bounded selfadjoint operators ty articles on various topics in this field, including dents and researchers in numerical analysis. The on complex Hilbert spaces 7 Presents recent self-interacting random walks and polymer mo- material covers a wide range of model problems, results obtained by the author that deal with diffe- dels in random and non-random environments, both steady and unsteady, elaborating from ad- rent aspects of this well research in- equality than branching processes, Parisi formulas and metasta- vection-reaction and diffusion problems up to the those recently reported bility in spin glasses, and hydrodynamic limits for Navier-Stokes equations and Friedrichs‘ systems. gradient Gibbs models. Both finite element and finite volume viewpoints Contents Features are exploited to convey the main ideas underlying -1. Functions of Selfadjoint Operators in Hilbert the design of the approximation. Spaces (Introduction, Bounded Selfadjoint Opera- 7 With contributions by international ex- tors, Continuous Functions of Selfadjoint Opera- perts 7 Introduces new concepts 7 Includes Features tors, Step Functions of Selfadjoint Operators, The a stimulating mixture of research articles and 7 Understanding the mathematical founda- Spectral Decomposition of Selfadjoint Operators, exclusive surveys on active research fields tions helps the reader design methods for new References). -2. Inequalities of the Jensen Type ( Contents applications 7 Bridging the gap between finite Introduction, Reverses of the Jensen Inequality, volumes, finite elements, and discontinuous Galer- Laudatio - The Mathematical Work of Jürgen Some Slater Type Inequalities, Other Inequali- kin methods provides new insight on numerical Gärtner – Hollander.- Part I The Parabolic ties for Convex Functions, Some Jensen Type methods 7 The mathematical setting for the Anderson Model.- Part II Self-interacting Ran- Inequalities for Twice Differentiable Functions, continuous model is a key to successful approxi- dom Walks and Polymers.- Part III Branching Some Jensen’s Type Inequalities for Log-convex mation methods Processes.-Part IV Miscellaneous Topics in Statis- Functions, Hermite-Hadamard’s Type Inequalities, Hermite-Hadamard’s Type Inequalities for Opera- tical Mechanics. Contents tor Convex Functions, References). -3. Inequali- Basic concepts.- Steady advection-reaction.- Fields of interests ties of the Čebyšev and Grüss Type (Introduction, Unsteady first-order PDEs.- PDEs with Probability Theory and Stochastic Processes; Čebyšev’s Inequality, Grüss Inequality, More diffusion.- Additional topics on pure diffusi- Statistics, general Inequalities of Grüss Type, More Inequalities for on.- Incompressible flows.- Friedhrichs‘ Systems.- the Čebyšev Functional, Bounds for the Čebyšev Implementation. Target groups Functional of Lipschitzian Functions, Quasi Grüss Research Fields of interests Type Inequalities, Two Operator Grüss Type Inequalities, References). Product Category Numerical Analysis; Computational Mathematics Contributed volume and Numerical Analysis; Appl.Mathematics/Com- Fields of interests putational Methods of Engineering Operator Theory; Partial Differential Equations; Target groups Probability Theory and Stochastic Processes Research Target groups Product Category Research Monograph Product Category
Due December 2011 Due October 2011 Due November 2011
2011. X, 460 p. 46 illus., 14 in color. (Springer 2011. X, 390 p. 21 illus., 3 in color. (Mathématiques et 2011. XI, 128 p. (SpringerBriefs in Mathematics) Proceedings in Mathematics, Volume 11) Hardcover Applications, Volume 69) Softcover Softcover 7 $149.00 7 $124.00 7 $49.95 9
H. Dym, Weizmann Institute, Rehovot, Israel; W. Gautschi, Purdue University, West Lafayette, IN, D. Goldfeld, Columbia University, NY, USA; M. A. Kaashoek, Vrije Universiteit, Amsterdam, The USA J. Jorgenson, The City College of New York, NY, Netherlands; P. Lancaster, University of Calgary, USA; P. Jones, Yale University, New Haven, CT, USA; AB, Canada; H. Langer, TU Wien, Austria; L. Lerer, Numerical Analysis D. Ramakrishnan, California Institute of Technology, Technion Israel Institute of Technology, Haifa, Israel Revised and updated, this second edition of Walter Pasadena, CA, USA; K. A. Ribet, University of (Eds) Gautschi‘s successful Numerical Analysis explo- California at Berkeley, CA, USA; J. Tate, Harvard A Panorama of Modern res computational methods for problems arising University, Cambridge, MA, USA (Eds) in the areas of classical analysis, approximation Number Theory, Analysis and Operator Theory and Related theory, and ordinary differential equations, among Topics others. Topics included in the book are presented Geometry In Memory of Serge Lang The Israel Gohberg Memorial Volume with a view toward stressing basic principles and maintaining simplicity and teachability as far as Contents This book is dedicated to the memory of Israel possible, while subjects requiring a higher level of -Preface.-Introduction (Tate).-Publications by Gohberg (1928–2009) – one of the great mathe- technicality are referenced in detailed bibliogra- Serge Lang.-Raynaud‘s Group-Scheme and Reduc- maticians of our time – who inspired innume- phic notes at the end of each chapter. Readers are tion of Converings (Abramovich).-The Modular rable fellow mathematicians and directed many thus given the guidance and opportunity to pursue Degree, Congruence Primes, and Multiplicity One students. The volume reflects the wide spectrum advanced modern topics in more depth. (Agashe, Ribet, Stein).-Le théorème de Siegel- of Gohberg’s mathematical interests, with topics Features Shidlovsky revisté (Bertrand).-Some Aspects of ranging from operator theory and linear algebra Harmonic Analysis on So3(Z[i])\So3(C)/SO(3), to integral and differential equations, complex 7 Highly acclaimed style is simple and teacha- and SO(2,1)z\SO(2,1)/SO(2) (Brenner, Sinton).- analysis and engineering problems. It consists of ble 7 Detailed bibliographic notes for further Differential Characters on Curves (Buium).-Weyl more than 25 invited and peer-reviewed original study 7 Integrated with mathematical soft- Group Multpile Dirichlet Series of Type A_2 research papers written by his former students, ware for advanced computations 7 Abundant (Chinta, Gunnels).-Remarks on the Geomet- co-authors and friends. exercises cover both theoretical and practical me- thods 7 Complete, 350-page solutions manual ry of the Diffeomorphism Group of the Circle Features provides exceptional instructional value (Constantin, Kolev).-Harmonic Representatives 7 Written by top experts in operator theory For Cuspidal Cohomology Classes (Dodziuk, Contents and its applications reflecting the exceptionally McGowan, Perry).-About the ABC Conjecture wide range of Gohberg's mathematical achieve- Preface to the Second Edition.- Preface.- Pro- and an Alternative (van Frenkenhuijsen).- ments 7 State of the art contributions to single logue.- Chapter 1. Machine Arithmetic and Unifying Themes Suggested by Belyi‘s Theorem and multivariable operator theory and its applica- Related Matters.- Chapter 2. Approximation and (Goldring).-On the Local Divisibility of Heegner tions 7 Not restricted to a specific issue. Rather Interpolation.- Chapter 3. Numerical Differentia- Points (Gross, Parson).-Uniform Estimates for it provides a wide picture of various directions, tion and Integration.- Chapter 4. Nonlinear Equa- Primitive Divisors in Elliptic Divisibility Sequen- theoretical as well as applied ones 7 Deals with tions.- Chapter 5. Initial Value Problems for ODEs ces (Ingram, Silverman).-The Heat Kernel, Theta topics that are central for operator theory and its --- One-Step Methods.- Chapter 6. Initial Value Inversion and Zetas on Gamma\G/K (Jorgenson, applications and have been initiated and/or deve- Problems for ODEs --- Multi-Step Methods.- Lang).-Applications of Heat Kernels on Abelian loped by Israel Gohberg Chapter 7. Two-Point Boundary Value Problems Groups: zeta(2n), Quadratic Reciprocity, Bessel for ODEs.- References.- Subject Index. Integrals (Karlsson).-Report on the Irreducibility Fields of interests of L-Functions (Katz).-Remark on Fundamental Fields of interests Operator Theory; Functional Analysis; Several Groups and Effective Diophantine Methods for Complex Variables and Analytic Spaces Computational Mathematics and Numerical Hyperbolic Curves (Kim). [...] Analysis; Computational Science and Engineering; Target groups Ordinary Differential Equations Fields of interests Research Number Theory; Analysis; Geometry Target groups Product Category Graduate Target groups Commemorative publication Research Product Category Graduate/Advanced undergraduate textbook Product Category Contributed volume
Due December 2011 Due December 2011 Due December 2011 2012. 600 p. (Operator Theory: Advances and Applications, Volume 218) Hardcover 2nd Edition. 2012. XXVIII, 623 p. 37 illus. Hardcover 2011. XII, 683 p. 4 illus. Hardcover 7 approx. $229.00 7 $99.00 7 $219.00 9
G. E. Gorelik, Boston University, MA, USA; V. Guedj, Université Paul Sabatier, Toulouse, France K. Gustafson, University of Colorado, Boulder, CO, V. Y. Frenkel, A.E.Ioffe Physicotechnical Institute, (Ed.) USA St.Petersburg, Russia Complex Monge–Ampère The Crossing of Heaven Matvei Petrovich Bronstein Equations and Geodesics in the Memoirs of a Mathematician and Soviet Theoretical Physics in the Thirties Preface by: I. Antoniou, Aristoteles University of Translated by Valentina M. Levina Space of Kähler Metrics Thessaloniki, Greece Translated by: V. M. Levina, Moscow, Russia The purpose of these lecture notes is to provide Among the group of physics honors students The short life and tragic death of Matvei Petrovich an introduction to the theory of complex Monge– huddled in 1957 on a Colorado mountain Bronstein (1906-1938) may be seen as a symbol Ampère operators (definition, regularity issues, watching Sputnik bisect the heavens, one young of the man‘s time and his country. One of the geometric properties of solutions, approximation) scientist was destined, three short years later, to most remarkable features of Soviet history was the on compact Kähler manifolds (with or without become a key player in America’s own top-secret impressive advance of its physical sciences against boundary). spy satellite program. One of our era’s most the brutal and violent background of totalitaria- prolific mathematicians, Karl Gustafson was given Features nism. Soviet advances in nuclear and space tech- just two weeks to write the first US spy satellite’s nology form an important part of world history. 7 The first self contained presentation of Krylov's software. The project would fundamentally alter These achievements had their roots in the 1930s, stochastic analysis for the complex Monge-Am- America’s Cold War strategy, and this autobiogra- when Bronstein‘s generation entered science. pere equation 7 A comprehensive presentation phical account of a remarkable academic life spent Among his friends were the famous physicists Lev of Yau's proof of the Calabi conjecture 7 A great in the top flight tells this fascinating inside story Landau and George Gamow. Bronstein worked in part of the material (both classical results and for the first time. the vast field of theoretical physics, ranging from more recent 4. 7 A pedagogical style, lectures Features nuclear physics to astrophysics and from relativis- accessible to non experts.developments) has not tic quantum theory to cosmology. previously appeared in book form 7 Written in 7 Previously untold story of early computing and pedagogicalcal style, lectures accessible to non the world’s first spy satellite 7 Unique accounts Features experts of personal interactions with Nobel laureates, 7 Well-documented and well-balanced biogra- Field’s Medal winners, and other sometimes stran- Contents phy 7 Gives insightful details on the politico- ge famous personalities in science 7 Tales and scientific context in this aera 7 Includes a sample 1.Introduction.- I. The Local Homogenious Di- secrets of high finance, and dangers therein of Bronstein’s works richlet Problem.-2. Dirichlet Problem in Domains of Cn.- 3. Geometric Maximality.- II. Stochastic Contents Contents Analysis for the Monge-Ampère Equation.- 4. Pro- Preface.- 1 The Child in Iowa.- 2 The Boy in Foreword.- Chapter 1 Childhood and Youth. Road babilistic Approach to Regularity.- III. Monge- Boulder.- 3 The Student in Poverty.- 4 Compu- to Science.- Chapter 2 In the Leningrad University Ampère Equations on Compact Manifolds.- 5.The ters and Espionage.- 5 First Publication.- 6 Into (1926-1932).- Chapter 3 At the Leningrad Physi- Calabi-Yau Theorem.- IV Geodesics in the Space Academia.- 7 The World Opens.- 8 Personas and cotechnical Institute.- Chapter 4 Hard Times for of Kähler Metrics.- 6. The Riemannian Space of Personalities.- 9 Wives, Lovers, Friends.- 10 Close the Laws of Conservation and for Theoreticians.- Kähler Metrics.- 7. MA Equations on Manifolds Calls.- 11 Mathematics.- 12 High Finance.- 13 The Chapter 5 cGh-Physics in Bronstein‘s Life.- Chap- with Boundary.- 8. Bergman Geodesics. Improbabilities.- 14 Realities.- 15 The Crossing of ter 6 Creative Personality.- Afterword.- Chronolo- Heaven.- Appendix. Fields of interests gy.- Notes.- Bibliography.- Appendix 1.- Appendix Fields of interests 2. Photographs.- Index. Several Complex Variables and Analytic Spaces; Differential Geometry; Partial Differential Equa- Mathematics, general; Applications of Mathema- Fields of interest tions tics; Quantitative Finance Mathematics, general Target groups Target groups Target groups Research Popular/general Research Product Category Product Category Product Category Contributed volume Biography Monograph
Due September 2011 Due November 2011 Due November 2011 Reprint of the 1994 Edition. 1994. X, 199 p. 3 illus. 2012. X, 310 p. 3 illus. (Lecture Notes in Mathematics, (Modern Birkhäuser Classics) Softcover Volume 2038) Softcover 2012. X, 170 p. Hardcover 7 $59.95 7 $89.95 7 $59.95 9
N. Herrmann, Leibniz Universität Hannover, B. Howard, Boston College, Chestnut Hill, MA, USA; I. Itenberg, IRMA, Université de Strasbourg, France; Germany T. Yang, University of Wisconsin, Madison, WI, USA B. Jöricke, Institut des Hautes Études Scientifiques, Bures-sur-Yvette, France; M. Passare, Stockholm The Beauty of Everyday Intersections of Hirzebruch– University, Sweden (Eds) Mathematics Zagier Divisors and CM Cycles Perspectives in Analysis, Imagine that you’ve finally found a parking space This monograph treats one case of a series of Geometry, and Topology after a long and harrowing search, but are now conjectures by S. Kudla, whose goal is to show that On the Occasion of the 60th Birthday of Oleg encountering some difficulty in trying to enter this Fourier of Eisenstein series encode information Viro space. Wouldn’t it be great if you knew a formu- about the Arakelov intersection theory of special la that allowed you to enter the space without cycles on Shimura varieties of orthogonal and uni- Contents difficulty? Are you annoyed because your soda can tary type. Here, the Eisenstein series is a Hilbert Preface.- 1 Selman Akbulut, Exotic structures doesn’t remain upright during a picnic? Would modular form of weight one over a real quadratic on smooth 4-manifolds.- 2 Kenneth Baker, John you like to know why a mirror swaps right and field, the Shimura variety is a classical Hilbert mo- Etnyre, Rational linking and contact geometry.- 3 left, but not top and bottom? Are you looking for a dular surface, and the special cycles are complex Robert Berman, Jean-Pierre Demailly, Regula- mathematical speech to toast your mother-in-law’s multiplication points and the Hirzebruch-Zagier rity of plurisubharmonic upper envelopes in big 85th birthday? Or do you want to give your heart divisors. By developing new techniques in defor- cohomology classes.- 4 Alex Degtarev, Towards away mathematically? Dr. Norbert Herrmann pro- mation theory, the authors successfully compute the generalized Shapiro and Shapiro conjecture.-5 vides amusing and entertaining solutions to these the Arakelov intersection multiplicities of these Alex Degtarev, Ilia Itenberg, Viatcheslav Kharla- and many other problems that we encounter in divisors, and show that they agree with the Fourier mov, On the number of components of a complete everyday situations. “A book for teachers, students coefficients of derivatives of Eisenstein series. intersection of real quadrics.- 6 Tobias Ekholm, of mathematics, and anybody who likes unusual Rational Symplectic Field Theory and linearized Features and amusing calculations.” Legendrian contact homology.- 7 Yakov Eliash- 7 Develops new methods in explicit arithmetic berg, N. Mishachev, Wrinkling IV: Mappings Features intersection theory 7 Develops new techniques with prescribed singularities.- 8 Michael Entov, 7 Complicated mathematics presented in a gene- for the study of Shimura varieties and automor- Leonid Polterovich, Pierre Py, On continuity of rally understandable way 7 Examples from eve- phic forms, central objects in modern number quasimorphisms for symplectic maps. With an ryday life are mathematized 7 Many examples theory 7 Proves new cases of conjectures of S. appendix by Michael Khanevsky.- 9 David Gay, presented with a good sense of humor 7 Small Kudla Andras Stipsicz, On symplectic caps.- 10 Gennadi riddles and conjuring tricks garantee an entertai- Henkin, Cauchy-Pompeiu type formulas for a ning reading Contents 1. Introduction.- 2. Linear Algebra.- 3. Moduli on affine algebraic Riemann surfaces and some Contents Spaces of Abelian Surfaces.- 4. Eisenstein Series.- applications.-11 Kiumars Kaveh, A. G. Khovanskii, Preface.- The Soda Can Problem.- The Mirror 5. The Main Results.- 6. Local Calculations. Algebraic equations and convex bodies.- 12 Louis Problem.- The Leg Problem.- The Sketch Prob- Kauffman, Graphical Bracket Invariants of Virtual lem.- the Parallel Parking Problem.- The Parking Fields of interest Links.- 13 Ciprian Manolescu, Christopher Wood- Garage Problem.- the 85th Birthday Problem.- The Number Theory ward, Floer homology on the extended moduli Slippery-Ice of Bread-Slicing Problem.- the Snail- space.- 14 Ngaiming Mok, Projective-algebraicity Target groups Racehorse Problem.- The Discus Thrower Pro- of minimal compactifications of complex-hyper- Research blem.- The Beer Coaster Problem.- the Toasting bolic space forms of finite volume. [...] Problem.- The Heart Problem. Index. Product Category Fields of interests Fields of interests Monograph Geometry; Global Analysis and Analysis on Mani- Mathematics, general; Education (general); Phy- folds; Topology sics, general Target groups Target groups Research Popular/general Product Category Product Category Contributed volume Monograph
Due November 2011 Due December 2011 Due September 2011 2012. VIII, 126 p. (Lecture Notes in Mathematics, 2012. XXII, 437 p. 90 illus., 18 in color. (Progress in 2011. VII, 150 p. 50 illus. Softcover Volume 2041) Softcover Mathematics, Volume 296) Hardcover 7 approx. $29.95 7 $49.95 7 $124.00 9
J. Janno, J. Engelbrecht, Tallinn University of R. Khasminskii, Wayne State University, Detroit, MI, H. Kielhöfer, University of Augsburg, Germany Technology, Estonia USA Bifurcation Theory Microstructured Materials: Stochastic Stability of An Introduction with Applications to Partial Inverse Problems Differential Equations Differential Equations With contrib. by: G. N. Milstein, Ural State University, In the past three decades, bifurcation theory Complex, microstructured materials are widely Ekaterinburg, Russia used in industry and technology and include has matured into a well-established and vibrant alloys, ceramics and composites. Focusing on non- Since the publication of the first edition of the branch of mathematics. This book gives a unified destructive evaluation (NDE), this book explores present volume in 1980, the stochastic stability of presentation in an abstract setting of the main in detail the mathematical modeling and inverse differential equations has become a very popular theorems in bifurcation theory, as well as more problems encountered when using ultrasound to subject of research in mathematics and enginee- recent and lesser known results. It covers both the investigate heterogeneous microstructured materi- ring. To date exact formulas for the Lyapunov local and global theory of one-parameter bifurca- als. The outstanding features of the text are firstly, exponent, the criteria for the moment and almost tions for operators acting in infinite-dimensional a clear description of both linear and nonlinear sure stability, and for the existence of stationary Banach spaces, and shows how to apply the mathematical models derived for modelling the and periodic solutions of stochastic differential theory to problems involving partial differential propagation of ultrasonic deformation waves, equations have been widely used in the literature. equations. In addition to existence, qualitative and secondly, the provision of solutions to the properties such as stability and nodal structure corresponding inverse problems that determine Features of bifurcating solutions are treated in depth. This the physical parameters of the models. The data 7 Completely revised and enlarged second volume will serve as an important reference for are related to nonlinearities at both a macro- and edition 7 Important new results are contai- mathematicians, physicists, and theoretically-inc- micro- level, as well as to dispersion. The authors’ ned 7 Useful for researchers and for students in lined engineers working in bifurcation theory and goal has been to construct algorithms that allow us graduate courses its applications to partial differential equations. to determine the parameters within which we are The second edition is substantially and formally Contents required to characterize microstructure. revised and new material is added. Among this Boundedness in Probability and Stability of is bifurcation with a two-dimensional kernel Features Stochastic Processes Defined by Differential with applications, the buckling of the Euler rod, 7 Mathematical modelling is based on physical Equations.- 2.Stationary and Periodic Solutions the appearance of Taylor vortices, the singular principles 7 Physical models are interwoven of Differential Equations. 3.Markov Processes limit process of the Cahn-Hilliard model, and an with inverse problems 7 A novel concept of and Stochastic Differential Equations.- 4.Ergodic application of this method to more complicated using solitary waves for NDE is proposed Properties of Solutions of Stochastic Equations.- nonconvex variational problems. 5.Stability of Stochastic Differential Equations.- Contents 6.Systems of Linear Stochastic Equations.- 7.Some Features Introduction.- 1 Inverse problems and non- Special Problems in the Theory of Stability of 7 Gives a unified presentation in an abstract destructive evaluation.- 2 Mathematical models of SDE’s.- 8.Stabilization of Controlled Stochastic setting 7 Two new sections along with many microstructured solids.- 3 Linear waves.- 4 Inverse Systems.- A. Appendix to the First English Editi- revisions 7 More references included problems for linear waves.- 5 Solitary waves in on.- B. Appendix to the Second Edition. Moment nonlinear models.- 6 Inverse problems for solitary Lyapunov Exponents and Stability Index.- Refe- Contents waves.- 7 Summary.- References.- Index rences.- Index. Introduction.- Global Theory.- Applications.
Fields of interests Fields of interests Fields of interests Partial Differential Equations; Mechanics; Conti- Probability Theory and Stochastic Processes; Partial Differential Equations; Dynamical Systems nuum Mechanics and Mechanics of Materials Mechanics and Ergodic Theory; Applications of Mathematics
Target groups Target groups Target groups Research Research Research
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Due August 2011 Due September 2011 Due November 2011 2nd Edition 2011. XVIII, 330 p. 4 illus. (Stochastic 2011. X, 162 p. 29 illus., 3 in color. (Springer Modelling and Applied Probability, Volume 66) 2nd Edition. 2011. X, 404 p. (Applied Mathematical Monographs in Mathematics) Hardcover Hardcover Sciences, Volume 156) Hardcover 7 $99.00 7 $129.00 7 $74.95 9
R. Krömer, Siegen, Germany; Y. Chin-Drian, G. Labinaz, M. Guay, Queen‘s University, Kingston, T. Lery, European Science Foundation, Strasbourg, Université Nancy 2/ LHSP-Archives Poincaré, Nancy, ON, Canada France; M. Primicerio, Universita degli Studi France (Eds) di Firenze, Italy; M. J. Esteban, Université Viability of Hybrid Systems Paris-Dauphine, France; M. Fontes, Centre for New Essays on Leibniz A Controllability Operator Approach Mathematical Sciences, Lund, Sweden; Y. Maday, Université Pierre et Marie Curie, Paris, France; Reception Contents V. Mehrmann, TU Berlin, Germany; G. Quadros, In Science and Philosophy of Science 1800- 1 Introduction.- 1.1 Motivation and History.- 1.2 Critical Software SA, Coimbra, Portugal; W. Schilders, 2000 Summary and Organization.- 1.3 Summary.- 2 TU Eindhoven, Netherlands; A. Schuppert, Bayer Literature Review.- 2.1 Nerode et al Approach Technology Service GmbH, Leverkusen, Germany; to Viability of Hybrid Systems [50],[71].- 2.2 H. Tewkesbury, KNT for Industrial Mathematics, Aubin et al Approach to Viability of Hybrid Contents Guildford, UK (Eds) Systems [15].- 2.3 Deshpande{Varaiya Ap- Introduction Ralf Krömer and Yannick Chin- proach to Viability of Hybrid Systems [35].- 2.4 Drian.- The idea of number from Gauss to European Success Stories in Related Literature.- 2.5 Conclusion.- 3 Hybrid Cantor. The Leibnizian heritage and its surpassing Model.- 3.1 Hybrid Phenomena and Hybrid Industrial Mathematics Philippe Séguin.- The Reception of Leibniz’s Logic Model.- 3.2 Hybrid Trajectories and their Orde- in 19th Century German Philosophy Volker Peck- ring.- 3.3 Continuity, Fixed Points, and Correct haus.- Leibniz’s Metaphysics as an Epistemological Finite Control Automaton.- 3.4 Uncertainty in Obstacle to the Mathematization of Nature: the Features Hybrid Systems.- 3.5 The Three-Tank Prob- View of a Late 19th Century Neo-Kantian, Kurd 7 Contains valuable material and important lem.- 3.6 Nerode{Kohn Formalism for Hybrid Lasswitz Françoise Willmann.- Peano and his lessons that can be applied in their own fields Systems.- 3.7 Conclusion.- 4 Viability.- 4.1 School between Leibniz and Couturat: the influ- in each success story for researchers, students, Background.- 4.2 Time{Independent Viabili- ence in mathematics and in international language entrepreneurs, policy makers and business leaders ty Set.- 4.3 Fixed Point Approximation.- 4.4 Erika Luciano.- Couturat’s reception of Leibniz in a range of disciplines 7 A unique book and Computation of TIC{COFPAA{I for Three Anne-Françoise Schmid.- Russell and Leibniz on the first of its kind 7 Timely with respect to Admissible Control Law Classes.- 4.4.1 Piecewi- the classification of propositions Nicholas Griffin.- the importance of innovation in the political and se Constant Control.- 4.4.2 Piecewise Constant Cassirer, Reader, Publisher, and Interpreter of scientific agendas at European level with Finite Switching.- 4.4.3 Piecewise Constant Leibniz’s Philosophy Jean Seidengart.- Leibniz on with Polynomial Control.- 4.5 Time{Dependent Contents Relativity. The Debate between Hans Reichenbach Viability Set.- 4.5.1 Piecewise Constant Con- Foreword.- Preface.- Introduction.- Health Biolo- and Dietrich Mahnke on Leibniz’s Theory of Moti- trol.- 4.6 Examples.- 4.6.1 Time{Independent gy.- Energy & Environment.- Finance & on and Time Vincenzo De Risi.- Interpretations of Constraints.- 4.6.2 Time{Dependent Cons- Modelling.- Automotive Industry & Manu- Leibniz’s Mathesis universalis at the beginning of traints.- 4.7 Conclusion.- 5 Robust Viability.- 5.1 facturing.- Aerospace & Electronics.- Servi- the XXth Century David Rabouin.- Leibnizian tra- Uncertainty and Robustness.- 5.2 Ordering of the ces, Transport & Logistics.- Annex. Summary ces in H.Weyl’s Philosophie der Mathematik und Controllability Operator under Uncertainty.- 5.3 Report of the E.S.F. Forward Look. Naturwissenschaft Erhard Scholz.- Gödel, Leibniz The Uncertain Controllability Operator and the and “Russell’s mathematical logic” Gabriella Uncertainty Operator.- 5.4 Robust Viability.- 5.5 Fields of interests Crocco.- Chaitin, Leibniz and complexity Herbert Robust Viability Control Design.- 5.6 Examp- Mathematics, general; Applications of Mathe- Breger.- Abbreviations. Index les.- 5.7 Conclusion.- 6 Viability in Practice.- 6.1 matics; Mathematical Modeling and Industrial Fields of interests Reachable Set Computation of the Controllability Mathematics Operator. [...] History of Mathematical Sciences; Philosophy of Target groups Science Fields of interests Professional/practitioner Systems Theory, Control; Robotics and Automati- Target groups Product Category on; Vibration, Dynamical Systems, Control Research Contributed volume Product Category Target groups Monograph Research Product Category Monograph
Due December 2011 Due November 2011
2011 2012. 200 p. (Publications des Archives Henri 2012. 250 p. (Intelligent Systems, Control and Due October 2011 Poincaré Publications of the Henri Poincaré Archives Automation: Science and Engineering, Volume 55) / Science autour de / around 1900) Hardcover Hardcover 2012. VIII, 140 p. 200 illus., 185 in color. Softcover 7 approx. $129.00 7 approx. $139.00 7 $59.95 9
A. Logg, K. Mardal, Simula Research Laboratory, V. Mayer, Université Lille 1, Villeneuve d‘Ascq, France; M. Morishita, Kyushu University, Nishi-ku, Fukuoka, Lysaker, Norway; G. Wells, University of Cambridge, M. Urbanski, University of North Texas, Denton, TX, Japan U.K. (Eds) USA; B. Skorulski, Universidad Catolica del Norte, Antofagasta, Chile Knots and Primes Automated Solution of An Introduction to Arithmetic Topology Differential Equations by the Distance Expanding Random Mappings, Thermodynamical This is a foundation for arithmetic topology - a Finite Element Method new branch of mathematics which is focused The FEniCS Book Formalism, Gibbs Measures and upon the analogy between knot theory and number theory. Starting with an informative This book is a tutorial written by researchers Fractal Geometry introduction to its origins, namely Gauss, this text provides a background on knots, three manifolds and developers behind the FEniCS Project and The theory of random dynamical systems origi- and number fields. Common aspects of both knot explores an advanced, expressive approach to nated from stochastic differential equations. It is theory and number theory, for instance knots in the development of mathematical software. The intended to provide a framework and techniques three manifolds versus primes in a number field, presentation spans mathematical background, to describe and analyze the evolution of dynami- are compared throughout the book. software design and the use of FEniCS in applica- cal systems when the input and output data are tions. Theoretical aspects are complemented with known only approximately, according to some computer code which is available as free/open Features probability distribution. The development of this 7 Starts at an elementary level and builds up to a source software. The book begins with a special field, in both the theory and applications, has gone introductory tutorial for beginners. Following are more advanced theoretical discussion 7 Written in many directions. In this manuscript we intro- by a world expert on arithmetic topology 7 A chapters in Part I addressing fundamental aspects duce measurable expanding random dynamical of the approach to automating the creation of large number of illustrative examples are provided systems, develop the thermodynamical formalism throughout finite element solvers. Chapters in Part II address and establish, in particular, the exponential decay the design and implementation of the FEnicS soft- of correlations and analyticity of the expected Contents ware. Chapters in Part III present the application pressure although the spectral gap property does Preliminaries - Fundamental Groups and Galois of FEniCS to a wide range of applications, inclu- not hold. This theory is then used to investigate Groups.- Knots and Primes, 3-Manifolds and ding fluid flow, solid mechanics, electromagnetics fractal properties of conformal random systems. Number Rings.- Linking Numbers and Legendre and geophysics. We prove a Bowen’s formula and develop the mul- Symbols.- Decompositions of Knots and Primes.- Features tifractal formalism of the Gibbs states. Homology Groups and Ideal Class Groups I - Genus Theory.- Link Groups and Galois Groups 7 Unique synthesis of theory and computer Features code 7 Takes readers from an introductory tuto- with Restricted Ramification.- Milnor Invariants 7 Contains new results 7 Complete treatment and Multiple Power Residue Symbols.- Alexan- rial through to cutting-edge research in scientific of the topic 7 Originality of the topic computing 7 Demonstrates a modern software der Modules and Iwasawa Modules.- Homology approach to solving problems spanning fluid flow, Contents Groups and Ideal Class Groups II - Higher Order Genus Theory.- Homology Groups and Ideal Class solid mechanics, electromagnetics and geophysics 1 Introduction.- 2 Expanding Random Maps.- 3 Groups III - Asymptotic Formulas.- Torsions and The RPF–theorem.- 4 Measurability, Pressure and Fields of interests the Iwasawa Main Conjecture.- Moduli Spaces of Gibbs Condition.- 5 Fractal Structure of Confor- Representations of Knot and Prime Groups.- De- Mathematical Software; Theoretical, Mathematical mal Expanding Random Repellers.- 6 Multifractal formations of Hyperbolic Structures and of p-adic and Computational Physics; Numeric Computing Analysis.- 7 Expanding in the Mean.- 8 Classical Ordinary Modular Forms. Target groups Expanding Random Systems.- 9 Real Analyticity Graduate of Pressure. Fields of interests Number Theory; Topology; Mathematics, general Product Category Fields of interest Graduate/Advanced undergraduate textbook Dynamical Systems and Ergodic Theory Target groups Target groups Graduate Research Product Category Product Category Graduate/Advanced undergraduate textbook Monograph
Due October 2011 Due November 2011 2012. VI, 718 p. 358 illus., 311 in color. (Lecture Notes Due November 2011 in Computational Science and Engineering, Volume 2012. X, 110 p. 3 illus. in color. (Lecture Notes in 84) Hardcover Mathematics, Volume 2036) Softcover 2012. XII, 212 p. 31 illus. (Universitext) Softcover 7 $89.95 7 $49.95 7 $59.95 ISBN9
A. Némethi, Á. Szilárd, Rényi Institute of A. Nepomnyashchy, I. Simanovskii, Technion - Israel R. Peikert, ETH Zürich, Switzerland; H. Hauser, Mathematics, Budapest, Hungary Institute of Technology, Haifa, Israel; J. C. Legros, University of Bergen, Norway; H. Carr, University of Milnor Fiber Boundary of Universite Libre de Bruxelles, Belgium Leeds, UK; R. Fuchs, ETH Zürich, Switzerland (Eds) a Non-isolated Surface Interfacial Convection in Topological Methods in Data Singularity Multilayer Systems Analysis and Visualization II Theory, Algorithms, and Applications This book gives a systematic investigation of con- vection in systems comprised of liquid layers with When scientists analyze datasets in a search for Contents deformatable interfaces. This new edition includes underlying phenomena, patterns or causal factors, 1 Introduction.- 2 The topology of a hypersur- completely updated and new material on flows their first step is often an automatic or semi-au- face germ f in three variables Milnor fiber.- 3 in ultra thin films and brings up to date progress tomatic search for structures in the data. Of these The topology of a pair (f ; g).- 4 Plumbing graphs made in the technology on micro and nano scales. feature-extraction methods, topological ones stand and oriented plumbed 3-manifolds.- 5 Cyclic Also, this revised edition will reflect progress in out due to their solid mathematical foundation. coverings of graphs.- 6 The graph GC of a pair the dynamics of complex fluids. Topologically defined structures—as found in scalar, vector and tensor fields—have proven their (f ; g). The definition.- 7 The graph GC . Proper- Contents ties.- 8 Examples. Homogeneous singularities.- 9 merit in a wide range of scientific domains, and Introduction.- Types of convective instabilities Examples. Families associated with plane curve scientists have found them to be revealing in sub- in systems with an interface.- Benard problem in singularities.- 10 The Main Algorithm.- 11 Proof jects such as physics, engineering, and medicine. multilayer systems with undeformable interfaces.- of the Main Algorithm.- 12 The Collapsing Main Full of state-of-the-art research and contemporary Benard problem in multilayer systems with defor- Algorithm.- 13 Vertical/horizontal monodromies.- hot topics in the subject, this volume is a selection mable interfaces.- Stability of flows.- Outlook. 14 The algebraic monodromy of H1(¶ F). Starting of peer-reviewed papers originally presented at the point.- 15 The ranks of H1(¶ F) and H1(¶ F nVg) Fields of interests fourth Workshop on Topology-Based Methods in Data Analysis and Visualization, TopoInVis 2011, via plumbing.- 16 The characteristic polynomial of Partial Differential Equations; Fluid- and Aerody- held in Zurich, Switzerland. ¶ F via P# and P#.- 18 The mixed Hodge structure namics; Theoretical, Mathematical and Computa- of H1(¶ F).- 19 Homogeneous singularities.- 20 tional Physics Features Cylinders of plane curve singularities: f = f 0(x;y).- 7 21 Germs f of type z f 0(x;y).- 22 The T¤;¤;¤–fami- Target groups Latest, peer-reviewed results in a growing research area 7 Topic with close interaction of ly.- 23 Germs f of type ˜ f (xayb; z). Suspensions.- Research 7 24 Peculiar structures on ¶ F. Topics for future mathematics and computer science Many research.- 25 List of examples.- 26 List of notations Product Category applications to science and engineering Monograph Fields of interests Contents Several Complex Variables and Analytic Spaces; Part I: Discrete Morse Theory.- Part II: Hierar- Algebraic Geometry; Algebraic Topology chical Methods for Extracting and Visualizing Topological Structures.- Part III: Visualization of Target groups Dynamical Systems, Vector and Tensor Fields.- Research Part IV: Topological Visualization of Unsteady Flow. Product Category Monograph Fields of interests Visualization; Algorithms; Computing Methodo- logies
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Due November 2011 Due December 2011 Due November 2011
2012. XII, 236 p. (Lecture Notes in Mathematics, 2nd ed. 2012. 400 p. (Applied Mathematical 2012. X, 260 p. 130 illus., 125 in color. (Mathematics Volume 2037) Softcover Sciences, Volume 179) Hardcover and Visualization) Hardcover 7 $59.95 7 $99.00 7 $124.00 9
C. Perna, M. Sibillo, University of Salerno, Italy (Eds) O. Post, Humboldt University, Berlin, Germany B. Prakasa Rao, University of Hyderabad, India Mathematical and Statistical Spectral Analysis on Graph-Like Associated Sequences, Methods for Actuarial Sciences Spaces Demimartingales and and Finance Small-radius tubular structures have attracted Nonparametric Inference considerable attention in the last few years, and The book develops the capabilities arising from This book gives a comprehensive review of results are frequently used in different areas such as the cooperation between mathematicians and for associated sequences and demimartingales Mathematical Physics, Spectral Geometry and statisticians working in insurance and finance developed so far, with special emphasis on demi- Global Analysis. In this monograph, we analyse fields. It gathers some of the papers presented at martingales and related processes. Probabilistic Laplace-like operators on thin tubular structures the conference MAF2010, held in Ravello (Amalfi properties of associated sequences, demimartinga- („graph-like spaces‘‘), and their natural limits on coast), and successively, after a reviewing process, les and related processes are discussed in the first metric graphs. In particular, we explore norm worked out to this aim. six chapters. Applications of some of these results resolvent convergence, convergence of the spectra to some problems in nonparametric statistical and resonances. Since the underlying spaces in the Features inference for such processes are investigated in the thin radius limit change, and become singular in 7 The book is the result of the Mathematical last three chapters. and Statistical interdisciplinary approach to the the limit, we develop new tools such as norm con- researches in the actuarial and financial to- vergence of operators acting in different Hilbert Features pics 7 The book aims at providing state of the art spaces, an extension of the concept of boundary 7 Comprehensive survey of probabilistic research in development, implementation and real triples to partial differential operators, and an abs- properties of associated sequences 7 Extensive world applications of statistical and mathematical tract definition of resonances via boundary triples. discussion on demimartingales and related proces- models in actuarial and finance sciences 7 The Features ses 7 First book to deal with inferential aspects book offers the occasion for discussing problems of such processes 7 A thorough analysis of quantum graphs and of national and international interest their approximations (graph-like spaces) 7 A Contents Contents self-contained explanation of the tools needed Preface.- Associated Random Variables and On the estimation in continuous limit of GARCH (convergence of operators in different spaces, Related Concepts.- Demimartingales.- N-De- processes by G. Albano, F. Giordano, and C. boundary triples) 7 The book is accessible for a mimartingales.- Conditional Demimartingales.- Perna. - Variable selection in forecasting models graduate student with some knowledge in functio- Multidimensionally Indexed Demimartingales for default risk by A. Amendola, M. Restaino, and nal analysis and operators on Hilbert spaces and Continuous Parameter Demimartingales.- L. Sensini. - Capital structure with firm’s net cash Contents Limit Theorems for Associated Random Varia- payouts by F. Barsotti, M.E. Mancino, and M. Pon- bles.- Nonparametric Estimation for Associated 1 Introduction.- 2 Graphs and associated Lapla- tier. - Convex ordering of Esscher and minimal Sequences.- Nonparametric Tests for Associated cians.- 3 Scales of Hilbert space and boundary entropy martingale measures for discrete time Sequences.- Nonparametric Tests for Change in triples.- 4 Two operators in different Hilbert models by F. Bellini and C. Sgarra. - On hyperbolic Marginal Density Function for Associated Sequen- spaces.- 5 Manifolds, tubular neighbourhoods and iterated distortions for the adjustment of survival ces.- References.- Index. their perturbations.- 6 Plumber’s shop: Estima- functions by A. Bienvenue and D. Rullière. - Bey- tes for star graphs and related spaces.- 7 Global ond Basel2: Modeling loss given default through Fields of interest convergence results. survival analysis by S. Bonini and G. Caivano. Probability Theory and Stochastic Processes Fields of interests Fields of interests Target groups Analysis; Functional Analysis; Operator Theory Quantitative Finance; Statistics, general; Business/ Research Management Science, general Target groups Product Category Research Target groups Monograph Research Product Category Monograph Product Category Contributed volume
Due November 2011 Due December 2011 Due September 2011 2012. X, 416 p. 29 illus. (Lecture Notes in 2012. 300 p. (Probability and its Applications, 2011. XII, 408 p. 99 illus., 1 in color. Hardcover Mathematics, Volume 2039) Softcover Volume) Hardcover 7 approx. $149.00 7 $89.95 7 approx. $124.00 9
H. Riesel, The Royal Institute of Technology, R. Z. Ríos-Mercado, Y. A. Ríos-Solís, Universidad R. Rosen Stockholm, Sweden Autónoma de Nuevo León, San Nicolas de los Garza, NL, Mexico (Eds) Anticipatory Systems Prime Numbers and Computer Philosophical, Mathematical, and Methods for Factorization Just-in-Time Systems Methodological Foundations : J. Rosen, New York, NY, USA; J. J. Kineman, Boulder, Contents From the original hard cover edition: In the CO, USA; M. Nadin, University of Texas, Dallas, TX, Part I Just-in-Time Scheduling Systems. -1 Sche- modern age of almost universal computer usage, USA duling to Maximize the Number of Just-in-Time practically every individual in a technologically Jobs: A Survey. Dvir Shabtay and George Steiner. developed society has routine access to the most Robert Rosen was not only a biologist, he was -2 An Exact Algorithm for the Single-Machine up-to-date cryptographic technology that exists, also a brilliant mathematician whose extraordi- Earliness-Tardiness Scheduling Problem. Shunji the so-called RSA public-key cryptosystem. A ma- nary contributions to theoretical biology were Tanaka. -3 Single-machine Scheduling Problems jor component of this system is the factorization tremendous. Founding, with this book, the area Simultaneous with Deteriorating and Learning of large numbers into their primes. of Anticipatory Systems Theory is a remarkable Effects under a Deteriorating Maintenance outcome of his work in theoretical biology. This Features Consideration. Suh-Jenq Yang and Dar-Li Yang. second edition of his book Anticipatory Sys- 7 Affordable reprint of the successful, expanded -4 Scheduling Unrelated Parallel Machines with tems, has been carefully revised and edited, and second edition of a unique monograph 7 Provi- Sequence Dependent Setup Times and Weighted includes an Introduction by Judith Rosen. It has des a unique perspective on the study of prime Earliness-Tardiness Minimization. Eva Vallada also been expanded with a set of Prolegomena by numbers and their importance in modern techno- and Rub´en Ruiz. -5 Mixed-Integer Program- Dr. Mihai Nadin, who offers an historical survey logy 7 Applications remain relevant across the ming Models for Flowshop Scheduling Problems of this fast growing field since the original work fields of modern computer science and informati- Minimizing the Total Earliness and Tardiness. was published. There is also some exciting new on transmission D´ebora P. Ronconi and Ernesto G. Birgin. -6 Just- work, in the form of an additional chapter on the in-Time Scheduling with Equal-Size Jobs. Ameur Ontology of Anticipation, by Dr. John Kineman. Contents Soukhal and Nguyen Huynh Toung. -7 No-Wait Preface.- The Number of Primes Below a Given Scheduling Problems with Batching Machines. Features Limit.- The Primes Viewed at Large.- Subtleties A. Oulamara. -Part II Just-in-Time Philosophy: 7 The only book on anticipatory sys- in the Distribution of Primes.- The Recognition Interaction with Other Areas. -8 Just-in-Time tems 7 Written by an expert 7 Carefully of Primes.- Classical Methods of Factorization.- Scheduling in Modern Mass Production Envi- revised and edited second edition, including an Modern Factorization Methods.- Prime Numbers ronment. Joanna J´ozefowska. -9 Just-in-Time introduction which places the work in perspective and Cryptography.- Appendix 1. Basic Concepts Planning and Lot-Sizing. Nabil Absi, St´ephane with the current status of the field in Higher Algebra.- Appendix 2. Basic concepts in Dauz`ere-P´er`es and Safia Kedad-Sidhoum. -10 Higher Arithmetic.- Appendix 3. Quadratic Resi- Strategic Scheduling Games: Equilibria and Effici- Contents dues.- Appendix 4. The Arithmetic of Quadratic ency. -Laurent Gourv`es, J´erˆome Monnot, and Foreword.- Preface.- Introduction.- Preliminari- Fields.- Appendix 5. Higher Algebraic Number Orestis A. Telelis. -11 Artificial Neural Networks- es.- Natural and Formal Systems.- The Modelling Fields.- Appendix 6. Algebraic Factors.- Appendix Based Forecasting: An Attractive Option for Relation.- The Encodings of Time.- Open Systems 7. Elliptic Curves.- Appendix 8. Continued Frac- Just-in-Time Systems. Mauricio Cabrera-R´ıos, and the Modelling Relation.- Anticipatory Sys- tions.- Appendix 9. Multiple-Precision Arithme- Mar´ıa Ang´elica Salazar-Aguilar, Mar´ıa Guada- tems.- Appendix.- Addendum: Autobiographical tic.- Appendix 10. Fast Multiplication of Large lupe Villarreal-Marroqu´ın, and A´ ngela Patricia Reminiscences.- Index. Anaya Salazar. [...] Integers.- Appendix 11. The Stieltjes Integral.- Ta- Fields of interests bles.- List of Textbooks.- Index. Fields of interests Mathematical and Computational Biology; Sys- Fields of interests Operations Research, Management Science; Ma- tems Biology; Systems Theory, Control thematical Modeling and Industrial Mathematics; Number Theory; Data Encryption; Algorithms Target groups Optimization Target groups Research Target groups Graduate Product Category Research Product Category Monograph Monograph Product Category Contributed volume
Due December 2011 Due December 2011 Due December 2011 2011. XVI, 335 p. 78 illus., 26 in color. (Springer 2nd ed. 2011. XIV, 530 p. 49 illus. (IFSR International 2nd Edition. 2012. XVI, 464 p. 8 illus. (Modern Optimization and Its Applications, Volume 60) Series on Systems Science and Engineering, Volume Birkhäuser Classics) Softcover Hardcover 28) Hardcover 7 $74.95 7 $149.00 7 $124.00 9
Z. Schuss, Tel Aviv University, Israel A. N. Sengupta, Louisiana State University, Baton K. Tapp, Saint Joseph‘s University, Philadelphia, PA, Nonlinear Filtering and Optimal Rouge, LA, USA USA Phase Tracking Representing Finite Groups Symmetry A Semisimple Introduction A Mathematical Exploration This book offers an analytical rather than measure-theoretical approach to the derivation This graduate textbook presents the basics of This textbook is perfect for a math course for of the partial differential equations of nonlinear representation theory for finite groups from the non-math majors, with the goal of encouraging filtering theory. The basis for this approach is the point of view of semisimple algebras and modules effective analytical thinking and exposing students discrete numerical scheme used in Monte-Carlo over them. The presentation interweaves insights to elegant mathematical ideas. It includes many simulations of stochastic differential equations and from specific examples with development of topics commonly found in sampler courses, like Wiener‘s associated path integral representation general and powerful tools based on the notion of Platonic solids, Euler’s formula, irrational num- of the transition probability density. Furthermore, semisimplicity. The elegant ideas of commutant bers, countable sets, permutations, and a proof of it presents analytical methods for constructing duality are introduced, along with an introduction the Pythagorean Theorem. asymptotic approximations to their solution and to representations of unitary groups. The text progresses systematically and the presentation Features for synthesizing asymptotically optimal filters. It 7 Symmetry is an ideal topic for a one semester also offers a new approach to the phase tracking is friendly and inviting. Central concepts are revisited and explored from multiple viewpoints. math course for non-math majors 7 Includes problem, based on optimizing the mean time to many topics commonly found in sampler courses, loss of lock. Exercises at the end of the chapter help reinforce the material. Representing Finite Groups: A Se- but weaves these topics into a single compelling Features misimple Introduction would serve as a textbook story about symmetry 7 Encourages effective 7 Many exercises and examples included 7 Ba- for graduate and some advanced undergraduate analytical thinking and exposes non-math majors 7 lance between mathematical rigor and physical courses in mathematics. Prerequisites include to elegant mathematical ideas Contains intuition 7 An analytical rather than measure- acquaintance with elementary group theory and excellent exercises for the intended audience; theoretical approach to the derivation and solution some familiarity with rings and modules. these exercises should help students attain good 7 of the partial differential equations of nonlinear understanding of the main points Hints of Features filltering theory humor and easily accessible language coupled 7 Presents basics of representation theory of with a plethora of exercises provides the necessary Contents finite groups from the point of view of semisimple motivation for a non-math major in a math- Diffusion and Stochastic Differential Equa- algebras and modules over them 7 Progres- oriented class 7 Contains hundreds of beautiful tions.- Euler‘s Simulation Scheme and Wiener‘s ses systematically with a gentle and inviting illustrations Measure.- Nonlinear Filtering and Smoothing pace 7 Exercises at the end of the chapter help Contents of Diffusions.- Small Noise Analysis of Zakai‘s reinforce the material Equation.- Loss of Lock in Phase Trackers.- Loss Preface.- 1 Introduction to Symmetry.- 2 The Al- Contents of Lock in RADAR and Synchronization.- Phase gebra of Symmetry.- 3 Isomorphism.- 4 The Clas- Tracking with Optimal Lock Time.- Bibliography.- Concepts and Constructs. -Basic Examples. - The sification Theorems.- 5 Subgroups and Product Index Group Algebra. - More Group Algebra. - Simply Groups.- 6 Permutations.- 7 Symmetries of Solid Semisimple . -Representations of Sn. - Characters. Objects.- 8 The Five Platonic Solids.- 9 Symmetry Fields of interests - Induced Representations. - Commutant Duality. and Optimization.- 10 What is a Number?.- 11 Probability Theory and Stochastic Processes; -Character Duality. -Representations of U(N). - Cantor‘s Infinity.- 12 Euclidean Space.- 13 Sym- Theoretical, Mathematical and Computational PS: Algebra. -Bibliography. metry and Matrices.- Index Physics; Partial Differential Equations Fields of interests Fields of interests Target groups Group Theory and Generalizations; Quantum Mathematics, general; Geometry; Mathematics in Graduate Physics; Applications of Mathematics the Humanities and Social Sciences
Product Category Target groups Target groups Graduate/Advanced undergraduate textbook Graduate Lower undergraduate Product Category Product Category Graduate/Advanced undergraduate textbook Undergraduate textbook
Due December 2011 Due December 2011 Due December 2011 2011. XVI, 259 p. 45 illus., 18 in color. (Applied Mathematical Sciences, Volume 180) Hardcover 2012. XII, 366 p. 11 illus., 2 in color. Hardcover 2012. XV, 199 p. 159 illus., 152 in color. Hardcover 7 $74.95 7 $74.95 7 $49.95 9
M. T. Thai, P. M. Pardalos, University of Florida, M. T. Thai, University of Florida, Gainesville,FL, USA Gainesville, FL, USA (Eds) Group Testing Theory in Handbook of Optimization in Network Security Complex Networks An Advanced Solution Theory and Applications SpringerBriefs in Optimization Features Contents 7 Brand new solutions on several advanced net- Preface.- 1. Optimization in Designing Complex S. M. Robinson, P. M. Pardalos, M. T. Thai works security problems, which may advance the Communication Networks (F.S.H. Souza, G.R. research front on this area 7 New variants on the Mateus, A.S. Cunha).- 2. Fitness-based Generative SpringerBriefs present concise summaries of group testing theory, which enhance the research Models for Power-Law Networks (K. Nguyen, D.A. cutting-edge research and practical applica- results in this field Great connection between Tran).- 3. Double Pareto Lognormal Distributions tions across a wide spectrum of fields. Featuring mathematical approaches and practical applica- in Complex Networks (Z. Fang, J. Wang, B. Liu, W. compact volumes of 50 to 125 pages, the series tions 7 Solutions are verified both in theoretical Gong).- 4. Laplacian Spectra and Synchronization covers a range of content from professional to analysis and simulation results 7 Include a chap- Processes on Complex Networks (J. Chen, J. Lu, academic. Briefs are characterized by fast, global ter discussing open problems and suggesting new C. Zhan, G. Chen).- 5. Growing Networks driven electronic dissemination, standard publishing con- solutions for various network security problems by the Evolutionary Prisoner’s Dilemma Game (J. tracts, standardized manuscript preparation and Poncela, J. Gomez-Gardenes, L.M. Floria, Y. Mo- formatting guidelines, and expedited production Contents reno).- 6. Defining and Discovering Communities schedules. -1. Group Testing (Introduction, Basic Theory in Social Networks (S. Kelley, M. Goldberg, M. and Design, Applications in Network Security). 7 Magdon-Ismail, K. Mertsalov, A. Wallace).- 7. Mo- Typical topics might include A timely report -2.Size Constraint Group Testing and DoS Attacks 7 dularity Maximization and Tree Clustering: Novel of state-of-the art techniques A bridge bet- (Overview, Network System Models, Size Con- Ways to Determine Effective Geographic Borders ween new research results, as published in journal straint Group Testing, Matrix Construction and (D. Grady, R. Brune, C. Thiemann, F. Theis, D. articles, and a contextual literature review Latency Analyses, Detection System Configurati- 7 Brockmann).- 8. Emergence and Structure of Cy- A snapshot of a hot or emerging topic on, Experimental Analysis). -3. Interference Free 7 7 bercommunities (M. Mitrovic, B. Tadic).- 9. k-core An in-depth case study A presentation of Group Testing and Reactive Jamming Attacks Organization in Complex Networks (G.J. Baxter, core concepts that students must understand in (Overview, Problem Models and Preliminaries, S.N. Dorogovtsev, A.V. Goltsev, J.F.F. Mendes).- order to make independent contributions Group Testing based Trigger Node Identification- Preprocessing, Identifying Trigger Nodes(ITN) 10. Hardness Complexity of Optimal Substructure SpringerBriefs in Optimization show case algo- Problems on Power-Law Graphs (Y. Shen, D.T. Algorithm, Theoretical Analysis, Experimental rithmic and theoretical techniques, case studies, Analysis). -4. Randomized Fault Tolerant Group Nguyen, M. T. Thai).- 11. Path Problems in Com- and applications within the broad-based field of plex Networks (P. Ghosh, A. Sen).- 12. Optimized Testing and Advanced Security (Advanced optimization. Manuscripts related to the ever- Attacker Model, Error-tolerant Randomized Non- Design of Large-scale Social Welfare Supporting growing applications of optimization in applied Systems on Complex Networks (J. Janacek, L. Adaptive Group Testing, Clique-Independent Set, mathematics, engineering, medicine, economics, Advanced Trigger Node Identification, Advanced Janosıkova, L. Buzna).- 13. Optimal Flows in Dy- and other applied sciences are encouraged. namic Networks and Algorithms for Their Finding Solutions Toward Sophisticated Attack Models, (M. Fonoberova).- 14. Some Distributed Approa- Experimental Analysis). -5. Outlooks (General ches to the Service Facility Location Problem in Detection Framework based on Group Testing, Dynamic and Complex Networks (I. [...] Size Constraint Group Testing, Jamming Attacks and Trigger Node Detection).-References. – Index. Fields of interests Optimization; Computer Communication Net- Fields of interests works; Communications Engineering, Networks Optimization; Computer Communication Net- works; Industrial and Production Engineering Target groups Graduate Target groups Research Product Category Contributed volume Product Category
Due November 2011 Due October 2011 2011. XIV, 518 p. 214 illus., 141 in color. (Springer Optimization and Its Applications, Volume 57) 2011. VIII, 86 p. 23 illus., 15 in color. (SpringerBriefs in Hardcover Optimization) Softcover 7 $179.00 7 $49.95 9
R. Tobies G. F. Torres del Castillo, Ciudad Universitaria, Puebla K. Williams, Torino, Italy (Ed.) Iris Runge de Zaragoza, Pue., México Nexus Network Journal 13,1 A Life at the Crossroads of Mathematics, Differentiable Manifolds Architecture and Mathematics Science and Industry A Theoretical Physics Approach Foreword by: H. Neunzert, Revised by: R. Tobies Contents This textbook explores the theory behind differen- KIM WILLIAMS, JOÃO NUNO TAVARES and Features tiable manifolds and investigates various physics JOÃO PEDRO XAVIER. Nexus 2010: Relation- 7 The book illuminates the beginnings of indus- applications along the way. Basic concepts, such as ships Between Architecture and Mathematics.- trial mathematics and its international context, differentiable manifolds, differentiable mappings, Letter from the Guest Editor.- LIONEL MARCH. the history of the application of mathematical tangent vectors, vector fields, and differential Forty Years of Shape and Shape Grammars, statistics, and the use of numerical and graphical forms, are briefly introduced in the first three 1971–2011 Shape and Shape Grammars.- GEOR- methods in filament bulb and electron tube labo- chapters. Chapter 4 gives a concise introduction GE STINY. What Rule(s) Should I Use?.- SARA ratories 7 Using many original sources, the book to differential geometry needed in subsequent ELOY and JOSÉ PINTO DUARTE. A Transforma- provides a comprehensive illustration of a woman chapters. Chapters 5 and 6 provide interesting tion Grammar for Housing Rehabilitation.- JOSÉ scientist (the eldest daughter of the famous ma- applications to connections and Riemannian NUNO BEIRÃO, JOSÉ PINTO DUARTE and thematician Carl Runge, and the sister-in-law of manifolds. Lie groups and Hamiltonian mecha- RUDI STOUFFS. Creating Specific Grammars Richard Courant) who wrote her first publication nics are closely examined in the last two chapters. with Generic Grammars: Towards Flexible as a student with the theoretical physicist Arnold Included throughout the book are a collection of Urban Design.- MINE ÖZKAR. Visual Schemas: Sommerfeld. exercises of varying degrees of difficulty. Differen- Pragmatics of Design Learning in Foundations tiable Manifolds is intended for graduate students Studios.- M. PIEDADE FERREIRA, DUAR- Contents and researchers interested in a theoretical physics TE CABRAL DE MELLO and JOSÉ PINTO Foreword.- Author’s Preface.- 1 Introduction.- 2 approach to the subject. Prerequisites include DUARTE. The Grammar of Movement: A Step Formative Groups.- 3 Mathematics at The Osram multivariable calculus, linear algebra, differential Towards a Corporeal Architecture.- ALEXAN- and Telefunken Corporations.- 4 Interactions Bet- equations, and a basic knowledge of analytical DRA PAIO and BENAMY TURKIENICZ. An ween Science, Politics, And Society.- 5 Post-War mechanics. Urban Grammar Study: A Geometric Method for Developments And Concluding Remarks.- Ap- Generating Planimetric Proportional and Symme- pendix.- Bibliography.- Index of Names. Features trical Systems.- MÁRIO KRÜGER, JOSÉ PINTO 7 Introduces differentiable manifolds using a DUARTE and FILIPE COUTINHO. Decoding De Fields of interests theoretical physics approach; unique book in the re aedificatoria: Using Grammars to Trace Alberti’s History of Mathematical Sciences; History of literature 7 Provides a collection of exercises of Influence on Portuguese Classical Architecture.- Science varying degrees of difficulty 7 Includes applica- ANDREW I-KANG LI. Computing Style.- DIRK tions to differential geometry and general relativity Target groups HUYLEBROUCK, ANTONIA REDONDO BUI- TRAGO and ENCARNACIÓN REYES IGLESIAS. Research Contents Octagonal Geometry of the Cimborio in Burgos Preface.-1 Manifolds.- 2 Lie Derivatives.- 3 Cathedral.- MARGARIDA TAVARES DA CON- Product Category Differential Forms.- 4 Integral Manifolds.- 5 CEIÇÃO. Translating Vitruvius and Measuring the Monograph Connections .- 6. Riemannian Manifolds.- 7 Lie Sky: On Pedro Nunes and Architecture.- ARTU- Groups.- 8 Hamiltonian Classical Mechanics.- RO LYON and RODRIGO GARCIA. Interlocking, References.-Index. Ribbing and Folding: Explorations in Parametric Fields of interests Constructions. [...] Manifolds and Cell Complexes (incl. Diff.Topolo- Fields of interests gy); Mechanics; Mathematical Methods in Physics Mathematics, general; Architectural History and Target groups Theory Graduate Target groups Product Category Research Graduate/Advanced undergraduate textbook Product Category Contributed volume
Due January 2012 Available Due December 2011 2012. XVIII, 458 p. 16 illus. in color. (Science 2011. V, 150 p. (Nexus Network Journal, Volume 13,1) Networks. Historical Studies, Volume 43) Hardcover 2012. VIII, 268 p. 20 illus. Hardcover Softcover 7 approx. $129.00 7 $59.95 7 $109.00 9
K. Williams (Ed.) D. W. Yeung, Hong Kong Shue Yan University, China; L. A. Petrosyan, Saint Petersburg State University, Nexus Network Journal 13,2 Russia Architecture and Mathematics Subgame Consistent Economic Contents KIM WILLIAMS. Letter from the Editor.- LINO Optimization CABEZAS. Ornamentation and Structure in the Static & Dynamic Game Theory: An Advanced Cooperative Dynamic Game Representation of Renaissance Architecture in Analysis Spain.- CHRIS J. K. WILLIAMS. Patterns on a Foundations & Applications Features Surface: The Reconciliation of the Circle and the T. Başar Square.- MARCO GIORGIO BEVILACQUA. 7 The first title on the topic of subgame con- sistent economic optimization 7 Illustrates Alexander Klein and the Existenzminimum : Static & Dynamic Game Theory: Foundations & A ‘Scientific’ Approach to Design Techniques.- the potential of cooperative dynamic games to Applications aims to publish top quality state-of- help formulate new policy on previously unsol- JOÃO PAULO CABELEIRA MARQUES the-art textbooks and research monographs at the COELHO. Inácio Vieira: Optics and Perspective vable market problems 7 Valuable as both a re- graduate and post-graduate levels in game theory search reference and as a textbook, with exercises as Instruments towards a Sensitive Space.- ELI- and its applications in a variety of fields, including SEU GONÇALVES. The Octagon in the Houses included throughout the book 7 Suitable for biology, communications, computer and com- an interdisciplinary audience of game theorists, of Orson Fowler.- TERESA MARAT-MENDES, putational science, ecology, economics, environ- MAFALDA TEIXEIRA DE SAMPAYO and economists, mathematicians, policy makers, and mental science, engineering, management science, corporate planners DAVID M. S. RODRIGUES. Measuring Lisbon networks, operations research, political science, Patterns: Baixa from 1650 to 2010.- ANTÓNIO security, and the social sciences. The scope of the Contents NUNES PEREIRA. Renaissance in Goa: Propor- series includes both cooperative and non-coope- Preface.- Introduction.- 1 Dynamic Strategic tional Systems in Two Churches of the Sixteenth rative games; static, repeated, and dynamic games, Interactions in Economic System.- 2 Dynamic Century.- JONG-JIN PARK. Dynamics of Urban defined in discrete time as well as in continuous Economic Optimization: Group Optimality and Centre and Concepts of Symmetry: Centroid time (so-called differential games); determinis- Individual Rationality.- 3 Time Consistency and and Weighted Mean.- VASCO ZARA. From tic as well as stochastic games (such as Markov Optimal-Trajectory-Subgame Consistent Econo- Quantitative to Qualitative Architecture in the games); and complete or incomplete information mic Optimization.- 4 Dynamically Stable Cost-sa- Sixteenth and Seventeenth Centuries: A New games. The series will also include titles that study ving Joint Venture.- 5 Collaborative Environmen- Musical Perspective.- LONE MOGENSEN. Ma- learning, evolution, and asymptotics in high player tal Management.- 6 Dynamically Stable Dormant king a Difference.- MICHAEL J. OSTWALD. The population regimes such as mean-field analysis. Firm Cartel.- 7 Subgame Consistent Economic Mathematics of Spatial Configuration: Revisiting, Optimization Under Uncertainty.- 8 Cost-saving Revising and Critiquing Justified Plan Graph The- The series will appeal to a broad interdisciplinary Joint Venture Under Uncertainty.- 9 Collaborative ory.- BERNARD PARZYSZ. From One Polygon to readership of mathematically-oriented engineers, Environmental Management Under Uncertainty.- Another: A Distinctive Feature of Some Otto- physical and social scientists, computer and com- 10 Subgame Consistent Dormant Firm Cartel.- 11 man Minarets.- RACHEL FLETCHER. Thomas putational scientists, and economists, as well as to Dynamic Consistency in Discrete-time Coopera- Jefferson’s Poplar Forest.- SYLVIE DUVERNOY. mathematicians at the graduate and post-graduate tive Games.- 12 Discrete-time Cooperative Games Review of The Mathematical Works of Leon Bat- levels. Students and researchers in these fields Under Uncertainty.- Technical Appendices.- Refe- tista Alberti by Kim Williams, Lionel March and will benefit from the comprehensive treatment of rences.- Index. Stephen R. Wassell (eds.). topical areas, groundbreaking theoretical explora- tion and development of computational tools, and Fields of interests Fields of interests applications covering the entire interdisciplinary Game Theory, Economics, Social and Behav. Mathematics, general; Architectural History and spectrum where multi-agent decision-making is at Sciences; Game Theory/Mathematical Methods; Theory the forefront. Optimization Target groups Target groups Research Graduate Product Category Product Category Contributed volume Graduate/Advanced undergraduate textbook
Available Due December 2011
2011. IV, 150 p. 160 illus. (Nexus Network Journal, 2012. XIV, 370 p. 2 illus. (Static & Dynamic Game Volume 13,2) Softcover Theory: Foundations & Applications) Hardcover 7 $109.00 7 $74.95 9
C. Woodford, C. Phillips, University of Newcastle Z. Yosibash, Ben-Gurion University, Beer-Sheva, F. Zhang, Nova Southeastern University, Fort upon Tyne, UK Israel Lauderdale, FL, USA Numerical Methods with Singularities in Elliptic Matrix Theory Worked Examples: Matlab Boundary Value Problems and Basic Results and Techniques Edition Elasticity and Their Connection The aim of this book is to concisely present fun- damental ideas, results, and techniques in linear This book is for students following an introduc- with Failure Initiation algebra and mainly matrix theory. The book con- tory course in numerical methods, numerical tains ten chapters covering various topics ranging techniques or numerical analysis. It introduces from similarity and special types of matrices to MATLAB as a computing environment for experi- Features Schur complements and matrix normality. Each menting with numerical methods. 7 Many solved example problems 7 Explicit chapter focuses on the results, techniques, and methods that are beautiful, interesting, and repre- Features mathematical expressions 7 Solutions to selected exercises in the book sentative, followed by carefully selected problems. 7 In this book numerical methods are presen- ted in problem – solution – discussion order so Contents Features that underlying theory is inferred naturally from Preface.- Introduction.-An Introduction to the 7 Updated and revised edition 7 Includes a experiment and experience 7 Teaching approach p- and hp-versions of the Finite Element Method.- new chapter on matrix inequalities, and a new allows for learning the theory by using the Eigen-pairs Computation for Two-Dimensional chapter with updated material on numerical methods 7 Accessible to a broad, non-specialist Heat Conduction Singularities.-Computation of ranges and radii and matrix norms 7 Includes readership 7 Fully documented MATLAB GFIFs for Two-Dimensional Heat Conduction more than 1000 exercises 7 Aids the reader in code freely downloadable from extras springer. Problems.-Eigen-pairs for two-dimensional mastering basic matrix results and techniques that com 7 The book aims to encourage the reader elasticity.-Computing Generalized Stress Intensity are useful for applications in various fields such as to begin programming as quickly as possib- Factors.-Thermal Generalized Stress Intensity Fac- mathematics, statistics, physics, computer science, le. 7 Exercises with answers, complete programs tors in 2-D Domains.-Failure Criteria for Brittle and engineering and sample codes are provided throughout the Elastic Materials.-Thermo-Mechanical Failure Cri- Contents book 7 As Matlab dependent material is separa- terion at the Micron Scale in Electronic Devices.- Preface to the Second Edition.- Preface.- Fre- ted from the main text, the book may be used in Singular solutions of the heat conduction equation quently Used Notation and Terminology.- Fre- conjunction with any programming system in polyhedra domains.-Computation of the Edge quently Used Terms.- 1 Elementary Linear Alge- Flux Intensity Functions associated with polyhe- Contents bra Review.- 2 Partitioned Matrices, Rank, and dra domains.-Vertex singularities associated with 1. Basic Matlab. - 2. Linear Equations.- 3. Non- Eigenvalues.- 3 Matrix Polynomials and Canonical conical points for the 3-D Laplace equation.-Edge linear Equations.- 4. Curve Fitting.- 5. Numerical Forms.- 4 Numerical Ranges, Matrix Norms, and eigen-pairs and ESIFs of 3-D elastic problems.- Integration.- 6. Numerical Differentiation.- 7. Li- Special Operations.- 5 Special Types of Matrices.- Summary and Open Questions. near Programming.- 8. Optimization.- 9. Ordi- 6 Unitary Matrices and Contractions.- 7 Positive nary Differential Equations.- 10. Eigenvalues and Fields of interests Semidefinite Matrices.- 8 Hermitian Matrices.- 9 Eigenvectors.- 11. Statistics. Computational Mathematics and Numerical Normal Matrices.- 10 Majorization and Matrix Inequalities.- References.- Notation.- Index. Fields of interests Analysis; Theoretical and Applied Mechanics; Appl.Mathematics/Computational Methods of Applications of Mathematics; Appl.Mathematics/ Fields of interests Engineering Computational Methods of Engineering; Compu- Linear and Multilinear Algebras, Matrix Theory; ter Applications in Chemistry Target groups Operator Theory Research Target groups Target groups Upper undergraduate Product Category Graduate Monograph Product Category Product Category Undergraduate textbook Graduate/Advanced undergraduate textbook
Due December 2011 Due October 2011 Due October 2011 2012. XX, 446 p. 202 illus., 79 in color. 2nd Edition. 2012. VIII, 232 p. 32 illus. With online (Interdisciplinary Applied Mathematics, Volume 37) 2nd Edition. 2011. XVII, 399 p. 8 illus., 1 in color. files/update. Hardcover Hardcover (Universitext) Softcover 7 $59.95 7 $124.00 7 $74.95 9