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Advances in Mathematical K. Alladi, University of Florida, Gainesville, FL, I. Amidror, Ecole Polytechnique Fédérale de USA; M. Bhargava, Princeton University, NJ, USA; Lausanne, Switzerland Economics D. Savitt, P. H. Tiep, University of Arizona, Tucson, AZ, USA (Eds) Mastering the Discrete Fourier Series editors: S. Kusuoka, R. Anderson, C. Castaing, Transform in One, Two or F. H. Clarke, E. Dierker, D. Duffie, L. C. Evans, Quadratic and Higher Degree T. Fujimoto, N. Hirano, T. Ichiishi, A. Ioffe, Forms Several Dimensions S. Iwamoto, K. Kamiya, K. Kawamata, H. Matano, Pitfalls and Artifacts M. K. Richter, Y. Takahashi, J.‑M. Grandmont, In the last decade, the areas of quadratic and T. Maruyama, M. Yano, A. Yamazaki, K. Nishimura higher degree forms have witnessed dramatic The discrete Fourier transform (DFT) is an ex- Volume 17 advances. This volume is an outgrowth of three tremely useful tool that finds application in many seminal conferences on these topics held in 2009, different disciplines. However, its use requires S. Kusuoka, T. Maruyama (Eds) two at the University of Florida and one at the caution. The aim of this book is to explain the Arizona Winter School. DFT and its various artifacts and pitfalls and to Advances in Mathematical show how to avoid these (whenever possible), or Economics Volume 17 Features at least how to recognize them in order to avoid 7 Provides survey lectures, also accessible to non- misinterpretations. A lot of economic problems can be formulated experts 7 Introduction summarizes current as constrained optimizations and equilibration research on quadratic and higher degree forms Features of their solutions. Various mathematical theories with a presentation of the necessary background 7 Written in an informal style using a picto- have been supplying economists with indispens- material 7 Contains expositions on the latest rial, intuitive approach rather than a rigorous able machineries for these problems arising in advances on some famous mathematical problems mathematical treatment, intentionally avoid- ing a purist's approach based on theorems and economic theory. Conversely, mathematicians Contents have been stimulated by various mathematical proofs 7 Teaches how to correctly interpret the Preface.- Toy Models for D. H. Lehmer’s Con- difficulties raised by economic theories. DFT results, and how to distinguish between true jecture II (E. Bannai, T. Miezaki).- On the spectral contents and the various artifacts that Features Representation of an Integer by X2+Y2+Z2 and are only due to DFT 7 Contains information on 7 International scientific association that aims the Modular Equations of Degree 3 and 5 (A. subjects rarely covered in literature, such as practi- to promote research activities in mathematical Berkovich).- Almost Universal Ternary Sums of cal questions regarding the correct interpretation economics 7 This series is designed to bring Squares and Triangular Numbers (W. Chan, A. of the DFT results together those mathematicians who are seriously Haensch).- Weighted Generating Functions for interested in obtaining new challenging stimuli Type II Lattices and Codes (N. Elkies, S. Komin- Contents from economic theories and those economists ers).- Quadratic and Automorphic Forms (J. Introduction.- Background and basic notions.- who are seeking effective mathematical tools for Hanke).- Integral Positive Ternary Quadratic Data reorganizations for the DFT and the IDFT.- their research 7 This series is published once a Forms (W. Jagy).- Some Aspects of the Algebraic True units along the axes when plotting the year under the auspices of the Research Center for Theory of Quadratic Forms (R. Parimala).- On the DFT.- Issues related to aliasing.- Issues related to Mathematical Economics Length of Binary Forms (B. Reznick).- Represen- leakage.- Issues related to resolution and range.- tation of Quadratic Forms by Integral Quadratic Miscellaneous issues.- Appendices. Fields of interest Forms (R. Schulze-Pillot).- Identifying the Matrix Game Theory, Economics, Social and Behav. Ring (J. Voight). Fields of interest Sciences; Probability Theory and Stochastic Pro- Fourier Analysis; Mathematical Applications in Fields of interest cesses; Applications of Mathematics Computer Science; Visualization Number Theory; Combinatorics; Special Func- Target groups tions Target groups Professional/practitioner Research Target groups Discount group Research Discount group Professional Non-Medical Professional Non-Medical Discount group Professional Non-Medical
Due June 2013 Due May 2013 Due May 2013 2013. VIII, 288 p. (Developments in Mathematics, 2013. XII, 374 p. 120 illus., 3 in color. (Computational 2013. V, 174 p. 12 illus., 3 in color. Hardcover Volume 31) Hardcover Imaging and Vision, Volume 43) Hardcover 7 $109.00 7 $109.00 7 $129.00 9
T. D. Andrews, R. Balan, J. J. Benedetto, W. Czaja, N. Bellomo, Politecnico di Torino, Italy; G. Ajmone F. E. Benth, University of Oslo, Norway; D. Crisan, K. A. Okoudjou, University of Maryland, College Marsan, Organization for Economic Cooperation Imperial College London, United Kingdom; Park, MD, USA (Eds) and Development, Paris, France; A. Tosin, Consiglio P. Guasoni, Dublin City University, Ireland; P. Protter, Excursions in Harmonic Nazionale delle Ricerche, Rome, Italy Columbia University, New York, NY, USA Analysis, Volume 2 Complex Systems and Society Paris-Princeton Lectures on Modeling and Simulation The February Fourier Talks at the Norbert Mathematical Finance 2013 Scientific editors: V. Henderson, Oxford University, Wiener Center This work aims to foster the interdisciplinary UK; R. Sircar, Princeton University, USA dialogue between mathematicians and socio-eco- Contents nomic scientists. Interaction among scholars and Part V Measure Theory.- Absolute Continuity and practitioners traditionally coming from different The current volume presents four chapters touch- Singularity of Measures Without Measure Theory.- research areas is necessary more than ever in order ing on some of the most important and modern Visible and Invisible Cantor Sets.- Convolution to better understand many real-world problems areas of research in Mathematical Finance: asset Inequalities for Positive Borel Measures on R^d we face today. On the one hand, mathematicians price bubbles (by Philip Protter); energy mar- and Beurling Density.- Positive Operator-Valued need economists and social scientists to better kets (by Fred Espen Benth); investment under Measures: A General Setting for Frames.- Part VI address the methodologies they design in a more transaction costs (by Paolo Guasoni and Johannes Filtering.- Extending Wavelet Filters, Infinite Di- realistic way; on the other hand, economists and Muhle-Karbe); and numerical methods for solving mensions, the Non-Rational Case, and Indefinite- social scientists need to be aware of sound math- stochastic equations (by Dan Crisan, K. Mano- Inner Product Spaces.- On the Group-Theoretic ematical modelling tools in order to understand larakis and C. Nee).The Paris-Princeton Lecture Structure of Lifted Filter Banks.- Parametric and, ultimately, solve the complex problems they Notes on Mathematical Finance, of which this is Optimization of Biorthogonal Wavelets and Fil- encounter in their research. the fifth volume, publish cutting-edge research in terbanks via Pseudoframes for Subspaces.- On the self-contained, expository articles from renowned Convergence of Iterative Filtering Empirical Mode Features specialists. The aim is to produce a series of Decomposition.- Wavelet Transforms by Nearest 7 Contents look ahead to a new approach to articles that can serve as an introductory reference Neighbor Lifting.- Part VII Operator Theory.- modelling and simulation of real-world sys- source for research in the field. On the Heat Kernel of a Left Invariant Elliptic tems 7 Introduces models of individual behav- Operator.- Mixed-Norm Estimates for the k-Plane iours in the social and economic sciences 7 Ex- Feature Transform.- Representation of Linear Operators amines recently developed modelling approaches 7 Presents cutting-edge research in Mathematical by Gabor Multipliers.- Extensions of Berezin-Lieb using stochastic game theory Finance Inequalities.- Bilinear Calderon-Zygmund Opera- tors.- Weighted Inequalities and Dyadic Harmonic Contents Contents Analysis.- Part VIII Biomathematics.- Enhance- 1. The Role of Individual Behaviors in Socio- Preface: Vicky Henderson & Ronnie Sircar.- Philip ment and Recovery in Atomic Force Micosopy Economic Sciences.- 2. Mathematical Tools for Protter: A Mathematical Theory of Financial Bub- Images.- Numerical Harmonic Analysis and Diffu- Modeling Social Complex Systems.- 3. Modeling bles.- Fred Espen Benth: Stochastic Volatility and sions on the 3D-Motion Group.- Quantification of Cooperation and Competition in Socio-Economic Dependency in Energy Markets – Multi-Factor Retinal Chromophores Through Autofluorescence Systems.- 4. Welfare Policy: Applications and Modelling.- Paolo Guasoni: Portfolio Choice with Imaging to Identify Precursors of Age-Related Simulations.- 5. Forward Look at Research Per- Transaction Costs: a User’s Guide.- Dan Crisan: Macular .- Simple Harmonic Oscillator Based Re- spectives.- References. Cubature Methods and Applications. construction and Estimation for One-Dimensional Fields of interest q-Space Magnetic Resonance (1D-SHORE). [...] Fields of interest Mathematical Modeling and Industrial Math- Game Theory, Economics, Social and Behav. Sci- Fields of interest ematics; Game Theory/Mathematical Methods; ences; Financial Economics Fourier Analysis; Signal,Image and Speech Pro- Complex Systems Target groups cessing; Abstract Harmonic Analysis Target groups Research Target groups Research Discount group Research Discount group Professional Non-Medical Discount group Professional Non-Medical Professional Non-Medical
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2013. XIX, 456 p. 56 illus., 21 in color. (Applied and 2013. X, 100 p. 12 illus. in color. (SpringerBriefs in 2013. Approx. 200 p. (Lecture Notes in Mathematics, Numerical Harmonic Analysis) Hardcover Mathematics) Softcover Volume 2081) Softcover 7 $129.00 7 $49.95 7 $49.99 9
A. Borovkov, Sobolev Institute of Mathematics, C. Brezinski, Université des Sciences et Technologies C. Brezinski, Université des Sciences et technologies Novosibirsk, Russia de Lille, Villeneuve d’Ascq, France; A. Sameh, Purdue de Lille, Villeneuve d’Ascq, France; A. Sameh, Purdue Probability Theory University, West Lafayette, IN, USA (Eds) University, West Lafayette, IN, USA (Eds) Walter Gautschi, Volume 1 Walter Gautschi, Volume 2 Probability theory is an actively developing branch of mathematics. It has applications in many areas Selected Works with Commentaries Selected Works with Commentaries of science and technology and forms the basis of Walter Gautschi has written extensively on top- Walter Gautschi has written extensively on top- mathematical statistics. This self-contained, com- ics ranging from special functions, quadrature ics ranging from special functions, quadrature prehensive book tackles the principal problems and orthogonal polynomials to difference and and orthogonal polynomials to difference and and advanced questions of probability theory and differential equations, software implementations, differential equations, software implementations, random processes in 22 chapters, presented in a and the history of mathematics. He is world and the history of mathematics. He is world logical order but also suitable for dipping into. renowned for his pioneering work in numerical renowned for his pioneering work in numerical Features analysis and constructive orthogonal polynomi- analysis and constructive orthogonal polynomi- 7 Presents a wide range of results in logic and als, including a definitive textbook in the former, als, including a definitive textbook in the former, computational complexity 7 Explains the and a monograph in the latter area. This three- and a monograph in the latter area. This three- topic informally and then in more detail for the volume set, Walter Gautschi: Selected Works with volume set, Walter Gautschi: Selected Works with advanced reader 7 Presents the ideas behind the Commentaries, is a compilation of Gautschi’s most Commentaries, is a compilation of Gautschi’s most theoretical concepts influential papers and includes commentaries by influential papers and includes commentaries by leading experts. leading experts. Contents Discrete Spaces of Elementary Events.- An Features Features Arbitrary Space of Elementary Events.- Random 7 Collection of original and influential papers by 7 Collection of original and influential papers by Variables and Distribution Functions.- Numerical Walter Gautschi on a wide range of relevant topics Walter Gautschi on a wide range of relevant topics Characteristics of Random Variables.- Sequences and techniques 7 Includes historical essays on and techniques 7 Includes historical essays on of Independent Trials with Two Outcomes.- On Euler and Chrisoffel, as well as biographical essays Euler and Christoffel, as well as biographical es- Convergence of Random Variables and Distribu- on several influential 20th-century numerical says on several influential 20th-century numerical tions.- Characteristic Functions.- Sequences of analysts, relating their work to Gautschi's 7 Inte- analysts, relating their work to Gautschi's 7 Inte- Independent Random Variables. Limit Theo- grates powerful software packages for orthogonal grates powerful software packages for orthogonal rems.- Large Deviation Probabilities for Sums polynomials and their applications polynomials and their applications of Independent Random Variables.- Renewal Contents Contents Processes.- Properties of the Trajectories of Ran- Preface.- Part I Walter Gautschi.- Biography Part I Commentaries.- Orthogonal polynomials dom Walks. Zero-One Laws.- Random Walks and of Walter Gautschi.- A brief summary of my on the real line.- Polynomials orthogonal on the Factorisation Identities.- Sequences of Dependent scientific work and highlights of my career.- Pub- semicircle.- Chebyshev quadrature.- Kronrod and Trials. Markov Chains.- Information and Entropy.- lications.- Part II Commentaries.- Numerical other quadratures.- Gauss-type quadrature.- Part Martingales.- Stationary Sequences.- Stochastic conditioning.- Special functions.- Interpolation II Reprints.- Orthogonal polynomials on the real Recursive Sequences.- Continuous Time Random and approximation.- Part III Reprints.- Numerical line.- Polynomials orthogonal on the semicircle.- Processes.- Processes with Independent Incre- conditioning.- Special functions.- Interpolation Chebyshev quadrature.- Kronrod and other ments.- Functional Limit Theorems.- Markov Pro- and approximation. quadratures.- Gauss-type quadrature. cesses.- Processes with Finite Second Moments. Gaussian Processes.- Appendices. Fields of interest Fields of interest Field of interest Numerical Analysis; Mathematics of Computing; Numerical Analysis; Mathematics of Computing; Approximations and Expansions Approximations and Expansions Probability Theory and Stochastic Processes Target groups Target groups Target groups Research Research Graduate Discount group Discount group Discount group Professional Non-Medical Professional Non-Medical Professional Non-Medical
Due July 2013 Due July 2013 Due June 2013 2013. XIV, 655 p. 4 illus. in color. (Contemporary 2013. XIV, 855 p. 1 illus. in color. (Contemporary 2013. Approx. 745 p. 22 illus. (Universitext) Softcover Mathematicians) Hardcover Mathematicians) Hardcover 7 $99.00 7 approx. $179.00 7 approx. $179.00 9
C. Brezinski, Université des Sciences et Technologies T. Chan, W. J. Cook, E. Hairer, J. Hastad, A. Iserles, M. Cicognani, Università di Bologna, Italy; de Lille, Villeneuce d’Ascq, France; A. Sameh, Purdue H. P. Langtangen, C. Le Bris, P. L. Lions, C. Lubich, F. Colombini, Università di Pisa, Italy; D. Del Santo, University, West Lafayette, IN, USA (Eds) A. J. Majda, J. McLaughlin, R. M. Nieminen, Università di Trieste, Italy (Eds) Walter Gautschi, Volume 3 J. ODEN, P. Souganidis, A. Tveito (Eds) Studies in Phase Space Analysis Encyclopedia of Applied and Selected Works with Commentaries with Applications to PDEs Computational Mathematics Walter Gautschi has written extensively on top- Features Editor-in-chief: B. Engquist, University of Texas at ics ranging from special functions, quadrature 7 Provides both surveys and recent advances in Austin, TX, USA and Royal Institute of Technology and orthogonal polynomials to difference and phase space analysis for PDEs 7 Distinguished (KTH), Stockholm, Sweden differential equations, software implementations, mathematicians address current work of impor- and the history of mathematics. He is world tance 7 Encompasses applications to a wide renowned for his pioneering work in numerical EACM is a comprehensive reference work cover- range of areas in mathematics and physics analysis and constructive orthogonal polynomi- ing the vast field of applied and computational als, including a definitive textbook in the former, mathematics. Applied mathematics itself accounts Contents and a monograph in the latter area. This three- for at least 60 per cent of mathematics, and the Preface.- The water-waves equations: from Zakha- volume set, Walter Gautschi: Selected Works with emphasis on computation reflects the current and rov to Euler.- On the characterization of pseudo- Commentaries, is a compilation of Gautschi’s most constantly growing importance of computational differential operators (old and new).- Improved influential papers and includes commentaries by methods in all areas of applications. multipolar Hardy inequalities.- The role of spectral leading experts. anisotropy in the resolution of the three-dimen- Fields of interest sional Navier-Stokes equations.- Schrödinger Features Computational Mathematics and Numerical equations in modulation spaces.- New maximal 7 Collection of original and influential papers by Analysis; Applications of Mathematics; Mathemat- regularity results for the heat equation in exterior Walter Gautschi on a wide range of relevant topics ics of Computing domains, and applications.- Cauchy problem for and techniques 7 Includes historical essays on some 22 hyperbolic systems of pseudo-differential Target groups Euler and Christoffel, as well as biographical es- equations with nondiagonalisable principal part.- Research says on several influential 20th-century numerical Scattering problem for quadratic nonlinear Klein- analysts, relating their work to Gautschi's 7 Inte- Discount group Gordon equation in 2d.- Global solutions to the grates powerful software packages for orthogonal Professional Non-Medical 3-D incompressible inhomogeneous Navier-Stokes polynomials and their applications system with rough density.- The Cauchy problem for the Euler-Poisson system and derivation of the Contents Zakharov-Kuznetsov equation.- L1 estimates for Part I Commentaries.- Linear recurrence rela- oscillating integrals related to structural damped tions.- Ordinary differential equations.- Computer wave models.- On the Cauchy problem for nonef- algorithms and software packages.- History and fectively hyperbolic operators, a transition case.- biography.- Miscellanea.- Part II Reprints.- Lin- References. ear difference equations.- Ordinary differential equations.- Computer algorithms and software Fields of interest packages.- History and biography.- Miscellanea.- Partial Differential Equations; Dynamical Systems Part III Werner Gautschi.- Publications.- Obituar- and Ergodic Theory; Mathematical Physics ies.- Recording. Target groups Due January 2014 Fields of interest Research Numerical Analysis; Mathematics of Computing; Print Approximations and Expansions Discount group 2013. 3000 p. Professional Non-Medical Target groups 7 approx. $1600.00 Research ISBN 978-3-540-70528-4 Discount group Professional Non-Medical 9
eReference
2013. 7 approx. $1600.00 ISBN 978-3-540-70529-1
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C. Donati-Martin, Université de Versailles-St A. d’Onofrio, European Institute of Oncology, Milan, Y. Giga, T. Kobayashi (Eds) Quentin, France; A. Lejay, INRIA, Vandoeuvre-les- Italy (Ed) What Mathematics Can Do for Nancy, France; A. Rouault, Université de Versailles-St Bounded Noises in Physics, Quentin, France (Eds) You Séminaire de Probabilités XLV Biology, and Engineering Essays and Tips from Japanese Industry Contents Leaders Contents Introduction.- Part I : Modeling of Bounded Nois- Special Course: I. Nourdin: Lectures on Gaussian Contents es and Their Applications in Physics.- On Bound- approximations with Malliavin calculus.- Other ed Stochastic Processes.- Dynamics of Systems Toshiyuki Kobayashi and Fujio Cho (Chairman, Contributions: V. Prokaj: Some sufficient condi- With Randomly Disordered Periodic Excitations.- TOYOTA), A Dialogue between a Mathemati- tions for the ergodicity of the Lévy-transforma- Noise-Induced Phenomena: Effects of Noises cian and TOYOTA’s Chairman: Think, think, and tion.- S. Laurent: Vershik’s intermediate level Based on Tsallis Statistics.- Dynamical Systems think again. Yusuke Yasuda (BNP Paribas Tokyo), standardness criterion and the scale of an auto- Driven by Dichotomous Noise.- Stochastic Oscil- Reasons Why Mathematics Is Important to Our morphism.- C. Dellacherie and M. Émery: Filtra- lator : Brownian Motion With Adhesion.- Nu- Company. Yasuchika Hasegawa (CEO, Takeda tions indexed by ordinals; application to a conjec- merical Study of Energetic Stability For Harmonic Pharma) Are Numbers Useful? Acknowledging ture of S. Laurent.- M. Émery: A planar Borel set Oscillator With Fluctuating Damping Param- the Contribution of Mathematical Modeling to which divides every Borel product.- J. Brossard et eter.- A Moment-Based Approach to Bounded Corporate Management. Norio Wada (Chairman, C. Leuridan: Characterising Ocone local martin- Non-Gaussian Colored Noise.- Spatiotemporal NTT), Mathematics Drives the Economy. Kenichi gales with reflections.- H. Hashimoto: Approxima- Bounded Noises, and Their Application to the Watanabe (CEO, Nomura Holdings), The Role of tion and stability of solutions of SDEs driven by Ginzburg-Landau Equation.- Part II: Bounded Mathematics in Finance: Applied Mathematics a symmetric a stable process with non-Lipschitz Noises in the Framework of Discrete and Continu- and Risk. Atsushi Horiba (CEO, HORIBA), Math- coefficients.- C. Cuchiero and Josef Teichman: ous Random Dynamical Systems.- Bifurcations ematics Is the Starting Point of Corporate Culture. Path properties and regularity of affine processes of Random Differential Equations With Bounded Eisuke Masada (President, RTRI), Mathematics on general state spaces.- E. Jacob: Langevin pro- Noise.- Effects of Bounded Random Perturbations Supports Development of Railway System Tech- cess reflected on a partially elastic boundary II.- R. on Discrete Dynamical Systems.- Part III: Bound- nology.Hirobumi Kawano (President, JOGMEC), Doney and S. Vakeroudis: Windings of planar ed Stochastic Fluctuations in Biology.- Bounded The role of mathematics in the petroleum and nat- stable processes.- A. Sokol: Elementary proof that Stochastic Perturbations May Induce Non-Genetic ural gas exploitation industry in Japan.Waro Iwane the first hitting time of an open set by a jump pro- Resistance to Anti-Tumor Chemotherapy.- Inter- (President, Iwane Labo), Mathematics in Our cess is a stopping time.- L. Döring and M. Roberts: play Between Cross Correlation and Delays in the Company: What does it describe? Kaoru Yosano Catalytic branching processes via spine techniques Sine-Wienernoise-Induced Transitions.- Bounded (Former Minister of Finance, Japan), Mathematics and renewal theory.- S. Bourgain and C. Tudor: Extrinsic Noises Affecting Biochemical Networks and I. Masahiro Yamamoto (Professor, U Tokyo), Malliavin calculus and self normalized sums.- P. With Low Molecule Numbers.- Part IV: Bounded Mathematics for industry - principle, reality, prac- Catuogno, D. Ledesma and P. Ruffino: A note on Noises: Applications in Engineering.- Almost Sure tice, from a viewpoint of a mathematician. Masato stochastic calculus in vector bundles.- G. Pagès: Stability of Fractional Viscoelastic Systems Driven Wakayama (Director, Math-for-Industry, Japan), Functional co-monotony of processes with an By Bounded Noises.- Model Selection for Random Importance and Unpredictable Effectiveness of application to peacocks.- S. Noreddine: Fluctua- Functions With Bounded Range. Applications in Mathematics in the Real World and for Industry. tions of the traces of complex-valued iid random Science and Engineering.- From Model-Based to Hiroshi Fujita (Professor Emeritus, U Tokyo), matrices.- J. Ortmann: Functionals of the Free Data-Driven Filter Design. Mathematics for Business and Business Leaders Brownian motion.- L. Miclo and P. Monmarche´: Based on Mathematical Intelligence. Étude de processus moins indécis que les autres.- Fields of interest Fields of interest F. Barthe and C. [...] Mathematical Modeling and Industrial Mathemat- Mathematics, general; Mathematical Modeling Field of interest ics; Mathematical and Computational Biology; Theoretical, Mathematical and Computational and Industrial Mathematics; Mathematics Educa- Probability Theory and Stochastic Processes Physics tion Target groups Target groups Target groups Research Research Professional/practitioner Discount group Discount group Discount group Professional Non-Medical Professional Non-Medical Professional Non-Medical
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2013. X, 520 p. 16 illus., 12 in color. (Lecture Notes 2013. XVI, 263 p. 87 illus., 39 in color. (Modeling and Due April 2013 in Mathematics / Séminaire de Probabilités, Volume Simulation in Science, Engineering and Technology) 2078) Softcover Hardcover 2013. VIII, 144 p. 57 illus., 35 in color. Hardcover 7 $119.00 7 approx. $124.00 7 $59.95 9
H. Glöckner, University of Paderborn, Germany; D. J. Grynkiewicz, Karl-Franzens-Universität Graz, H. Han, Tsinghua University, Beijing, China; X. Wu, K.‑H. Neeb, TU Darmstadt, Germany Austria Hong Kong Baptist University, Hong Kong Infinite-dimensional Lie Structural Additive Theory Artificial Boundary Method
Groups. General Theory and Nestled between number theory, combinatorics, “Artificial Boundary Method” systematically intro- Main Examples algebra and analysis lies a rapidly developing sub- duces the artificial boundary method for the nu- ject in mathematics variously known as additive merical solutions of partial differential equations Infinite-dimensional Lie Groups provides a com- combinatorics, additive number theory, additive in unbounded domains. Detailed discussions treat prehensive introduction to this important subject group theory, and combinatorial number theory. different types of problems, including Laplace, by developing a global infinite-dimensional Lie Helmholtz, heat, Schrödinger, and Navier and theory on the basis that a Lie group is simply Features Stokes equations. Both numerical methods and a manifold modeled on a locally convex space, 7 Focuses on areas of Additive Theory that have error analysis are discussed. The book is intended equipped with a group structure with smooth not been treated in detail in book form 7 Re- for researchers working in the fields of computa- group operations. quires little pre-requisite apart from a solid tional mathematics and mechanical engineering. background in undergraduate mathematics and Prof. Houde Han works at Tsinghua University, Features graduate-level introductory algebra 7 Contains China; Prof. Xiaonan Wu works at Hong Kong 7 Provides a comprehensive introduction to detail-rich proofs, making the material more ac- Baptist University, China. this important subject, examining the basic cessible to newcomers in the field structure theory of infinite-dimensional Lie Features groups 7 Essentially self-contained, provides Contents 7 Artificial boundary method 7 Numerical all necessary background, excepting modest 1. Abelian Groups and Character Sums.- 2. solution of partial differential equations on un- prerequisites 7 Clear exposition includes careful Introduction to Sumsets.- 3. Simple Results for bounded domains 7 High effect computational explanations, illustrative examples, numerous Torsion-Free Abelian Groups.- 4. Basic Results schemes 7 Detailed theoretical analysis exercises, and detailed cross-references to simplify for Sumsets with an Infinite Summand.- 5. The a non-linear reading of the material Pigeonhole and Multiplicity Bounds.- 6. Periodic Contents Sets and Kneser’s Theorem.- 7. Compression, Global artificial boundary conditions of second Contents Complements and the 3k–4 Theorem.- 8. Additive order elliptic differential equations.- Global Preface.- Introduction.- Infinite-dimensional Energy.- 9. Kemperman’s Critical Pair Theory.- artificial boundary conditions of Navie Equations Calculus.- Infinite-dimensional Manifolds.- Lie 10. Zero-Sums, Setpartitions and Subsequence and Stokes Equations.- Global artificial bound- Groups.- Locally Exponential Lie Groups.- Linear Sums.- 11. Long Zero-Sum Free Sequences over ary conditions of heat equation and Schrodinger Lie Groups.- Direct Limits of Lie Groups.- Groups Cyclic Groups.- 12. Pollard’s Theorem for General Equation.- Fully absorbing boundary conditions of Maps.- Groups of Diffeomorphisms.- Appen- Abelian Groups.- 13. The DeVos–Goddyn–Mohar of wave equations, Klein-Gordan Equation and dix A: Tools from Topology.- Appendix B: Basic Theorem.- 14. The Partition Theorem I.- 15. The linear KdV Equation.- Discrete artificial boundary Theory of Locally Convex Spaces.- Appendix C: Partition Theorem II.- 16. The Ψ-Weighted Gao conditions.- Local artificial boundary conditions.- Finite-dimensional Lie Algebras.- Appendix D: Theorem.- 17. Group Algebras.- 18. Character and Implicit artificial boundary conditions.- Nonlinear Calculus in Banach Spaces.- Appendix E: Smooth Linear Algebraic Methods.- 19. Character Sum artificial boundary conditions.- Applications. Maps into non-Lie Groups.- Appendix F: Co- and Fourier Analytic Methods.- 20. Freiman Ho- homology of Lie Algebras.- Bibliography.- Index. momorphisms Revisited.- 21. The Isoperimetric Fields of interest Method.- 22. The Polynomial Method.- Index. Computational Mathematics and Numerical Fields of interest Analysis; Computational Science and Engineering; Topological Groups, Lie Groups; Group Theory Fields of interest Appl.Mathematics/Computational Methods of and Generalizations; Linear and Multilinear Alge- Number Theory; Sequences, Series, Summability; Engineering bras, Matrix Theory Order, Lattices, Ordered Algebraic Structures Target groups Target groups Target groups Research Research Research Discount group Discount group Discount group Professional Non-Medical Professional Non-Medical Professional Non-Medical
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Jointly published with Tsinghua University Press. Original Chinese edition published by Tsinghua University Press, 2009.
Due December 2014 Due June 2013 Distribution rights in China: Tsinghua University Press. 2015. 350 p. 10 illus. (Graduate Texts in Mathematics, 2013. XII, 424 p. (Developments in Mathematics, Volume 935) Hardcover Volume 30) Hardcover 2013. Approx. 300 p. 30 illus. Hardcover 7 approx. $69.95 7 $129.00 7 approx. $109.00 9
A. Huckleberry, Ruhr-Universität Bochum, Germany; A. Ilchmann, Technische Universität Ilmenau, M. Joswig, Fachbereich Mathematik, Algorithmische I. Penkov, Jacobs University Bremen, Germany; Germany; T. Reis, Universität Hamburg, Germany diskrete Mathematik, Technische Universität G. Zuckerman, Yale University, CT, USA (Eds) (Eds) Darmstadt, 64293 Darmstadt, Germany Lie Groups: Structure, Actions, Surveys in Differential- Essentials of Tropical and Representations Algebraic Equations I Combinatorics
In Honor of Joseph A. Wolf on the Occasion of The need for a rigorous mathematical theory for The goal of this book is to explain, at the graduate his 75th Birthday Differential-Algebraic Equations (DAEs) has its student level, how tropical geometry can be ac- roots in the widespread applications of controlled cessed via geometric combinatorics. This way the Contents dynamical systems, especially in mechanical and book offers a viable path to a topic of very active Preface.- Real group orbits on flag manifolds.- electrical engineering. Due to the strong relation research. At the same time the reader learns how Complex connections with trivial holonomy.- to (ordinary) differential equations, the literature a number of seemingly unrelated combinatorial Indefinite harmonic theory and harmonic for DAEs mainly started out from introductory results fall into place, once viewed through the spinors.- Twistor theory and the harmonic hull.- textbooks. As such, the present monograph is “tropical lens”. No attempt is made to cover the Nilpotent Gelfand pairs and spherical transforms new in the sense that it comprises survey articles entire field of tropical geometry, which has been of Schwartz functions, II: Taylor expansions on on various fields of DAEs, providing reviews, evolving too rapidly anyway to be covered by a singular sets.- Propagation of the multiplicity-free- presentations of the current state of research and book so small. ness property for holomorphic vector bundles.- new concepts in - Controllability for linear DAEs Poisson transforms for line bundles from the - Port-Hamiltonian differential-algebraic systems Features Shilov boundary to bounded symmetric domains.- - Robustness of DAEs - Solution concepts for 7 Offers a viable path to a topic of very active re- Cent(U(n)), cascade of orthogonal roots, and a DAEs - DAEs in circuit modeling. The results in search 7 Focuses on the polyhedral and combi- construction of Lipsman–Wolf.- Weakly harmonic the individual chapters are presented in an acces- natorial aspects while requiring less prerequisites Maaß forms and the principal series for SL(2,R).- sible style, making this book suitable not only for in algebraic geometry and commutative algebra, Holomorphic realization of unitary representa- active researchers but also for graduate students thus making the book more accessible to a wider tions of Banach-Lie groups.- The Segal–Bargmann (with a good knowledge of the basic principles of audience 7 Uses tropical convexity as a general transform on compact symmetric spaces and DAEs) for self-study. language to study classical subjects in combinato- their direct limits.- Analysis on flag manifolds and rial optimization Sobolev inequalities.- Boundary value problems Features on Riemannian symmetric spaces of noncompact 7 A collection of survey articles, covering a Contents type.- One step spherical functions of the pair broad spectrum of areas related to DAEs, each Preface.- Contents.- Introduction.- 1 Tropical (SU(n + 1), U(n)).- Chern–Weil theory for certain of which presented in an individual chap- Arithmetic and Polynomials.- 2 Puiseux Series infinite-dimensional Lie groups.- On the structure ter 7 Unique in the sense that other books and Tropicalization.- 3 Graph Algorithms and the of finite groups with periodic cohomology. provide rather an introduction to the principles of Tropical Determinant.- 4 Tropical Polytopes.- 5 DAEs 7 Suitable not only for graduate students Products of Simplices.- 6 Tropical Halfspaces.- 7 Fields of interest for self-study but also for active researchers by Polytropes.- 8 Resolutions of Monomial Ideals.- 9 Topological Groups, Lie Groups; Associative Rings dealing with specific aspects of particular fields of Tropical Linear Spaces.- 10 Matroid Subdivisions and Algebras; Functional Analysis DAEs of Hypersimplices.- 11 Buildings.- 12Using poly- make.- Appendix A Ordinary Convex Polytopes.- Target groups Fields of interest Appendix B Matroids and Oriented Matroids.- Research Ordinary Differential Equations; Numerical Appendix C Gröbner Bases.- Bibliography.- Index Analysis; Systems Theory, Control Discount group Fields of interest Professional Non-Medical Target groups Algebraic Geometry; Convex and Discrete Geom- Research etry; Field Theory and Polynomials
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Due June 2013 Available Due March 2014 2013. XV, 367 p. (Progress in Mathematics, Volume 2013. VII, 231 p. 13 illus. (Differential-Algebraic 306) Hardcover Equations Forum) Softcover 2014. XX, 180 p. 50 illus. Hardcover 7 $129.00 7 $109.00 7 approx. $49.95 9
A. Kirillov, University of Pennsylvania, Philadelphia, S. Koziel, L. Leifsson, Engineering Optimization & A. T. Layton, Duke University, Durham, NC, USA; PA, USA Modeling Center, School of Science and Engineering, A. Edwards, Centre de Recherche des Cordeliers, A Tale of Two Fractals Reykjavik University, Iceland (Eds) Paris, France Surrogate-Based Modeling and Mathematical Modeling in Since Benoit Mandelbrot’s pioneering work in the late 1970s, scores of research articles and books Optimization Renal Physiology have been published on the topic of fractals. De- Applications in Engineering With the availability of high speed computers and spite the volume of literature in the field, the advances in computational techniques, the ap- general level of theoretical understanding has Contents plication of mathematical modeling to biological remained low; most work is aimed either at too Space Mapping for Electromagnetic-Simulation- systems is expanding. This comprehensive and mainstream an audience to achieve any depth or at Driven Design Optimization, Slawomir Koziel, richly illustrated volume provides up-to-date, too specialized a community to achieve wide- Leifur Leifsson, and Stanislav Ogurtsov.- Sur- wide-ranging material on the mathematical mod- spread use. Written by celebrated mathematician rogate-Based Circuit Design Centering, Abdel- eling of kidney physiology, including clinical data and educator A.A. Kirillov, A Tale of Two Fractals Karim S.O. Hassan and Ahmed S.A. Mohamed.- analysis and practice exercises. Basic concepts and is intended to help bridge this gap, providing an Simulation-Driven Antenna Design Using modeling techniques introduced in this volume original treatment of fractals that is at once ac- Surrogate-Based Optimization, Slawomir Koziel, can be applied to other areas (or organs) of physi- cessible to beginners and sufficiently rigorous for Stanislav Ogurtsov, and Leifur Leifsson.- Practical ology. The models presented describe the main serious mathematicians. Application of Space Mapping Techniques to the homeostatic functions performed by the kidney, Synthesis of CSRR-based Artificial Transmission including blood filtration, excretion of water and Features Lines, Ana Rodríguez, Jordi Selga, Ferran Martín salt, maintenance of electrolyte balance, and regu- 7 First book to provide a rigorous study of and Vicente E. Boria.- The Efficiency of Difference lation of blood pressure. Each chapter includes an fractals usable by undergraduates 7 Written by Mapping on Space Mapping Based Optimization, introduction to the basic relevant physiology, a a renowned authority in the field and expert at Murat Simsek, Neslihan Serap Sengor.- Bayesian derivation of the essential conservation equations, communicating mathematical ideas to stu- Support Vector Regression Modeling of Micro- and then a discussion of a series of mathemati- dents 7 An excellent means for young mathema- wave Structures for Design Applications, J. Pieter cal models, with increasing level of complexity. ticians to acquire basic tools from many different Jacobs, Slawomir Koziel, Leifur Leifsson.- Arti- This volume will be of interest to biological and areas 7 Abundant figures and exercises provide ficial Neural Networks and Space Mapping For mathematical scientists, as well as physiologists valuable clarity and practice EM-Based Modelling and Design of Microwave and nephrologists, who would like an introduction Circuits, José Ernesto Rayas-Sánchez.- Model- Contents to mathematical techniques that can be applied Based Variation-Aware Integrated Circuit Design, Introduction.- Part 1. The Sierpiński Gasket.- to renal transport and function. The material is Ting Zhu, Mustafa Berke Yelten, Michael B. Steer, Definition and General Properties.- The Laplace written for students who have had college-level and Paul D. Franzon.- Computing Surrogates Operator on the Sierpiński Gasket.- Harmonic calculus, but can be used in modeling courses in for Gas Network Simulation using Model Order Functions on the Sierpiński Gasket.- Part 2. The applied mathematics at all levels through early Reduction, Sara Grundel, Nils Hornung, Bernhard Apollonian Gasket.- Introduction.- Circles and graduate courses. Klaassen, Peter Benner, and Tanja Clees.- Aero- Disks on Spheres.- Definition of the Apollonian dynamic Shape Optimization by Space Mapping, Gasket.- Arithmetic Properties of Apollonian Features Leifur Leifsson, Slawomir Koziel, Eirikur Jonsson, Gaskets.- Geometric and Group-Theoretic Ap- 7 Written by experts in academia 7 Provides Stanislav Ogurtsov. [...] proach.- Many-Dimensional Apollonian Gaskets.- the mathematical and biological basis needed to understand transport phenomena in the kid- Bibliography. Fields of interest ney 7 First book of this kind on the market Mathematical Modeling and Industrial Math- Fields of interest ematics; Aerospace Technology and Astronautics; Visualization; Special Functions; Geometry Fields of interest Control Physiological, Cellular and Medical Topics; Math- Target groups ematical and Computational Biology Target groups Upper undergraduate Research Target groups Discount group Graduate Discount group Professional Non-Medical Professional Non-Medical Discount group Professional Non-Medical
Due April 2013 Due April 2013 Due June 2013 2013. XII, 188 p. (Lecture Notes on Mathematical 2013. XII, 128 p. 42 illus., 4 in color. Hardcover 2013. VIII, 422 p. 60 illus., 10 in color. Hardcover Modelling in the Life Sciences) Hardcover 7 $39.95 7 $129.00 7 approx. $59.95 9
S. E. Louridas, Athens, Greece; M. T. Rassias, ETH K. Luoto, University of British Columbia,Vancouver, E. Mahmudov, Istanbul Technical University, Turkey Zurich, Switzerland BC, Canada; S. Mykytiuk, York University,Toronto, Single Variable Differential and Problem-Solving and Selected ON, Canada; S. van Willigenburg, University of British Columbia, Vancouver, BC, Canada Integral Calculus Topics in Euclidean Geometry An Introduction to Mathematical Analysis In the Spirit of the Mathematical Olympiads Quasisymmetric Schur The book “Single variable Differential and “Problem-Solving and Selected Topics in Euclid- Functions Integral Calculus” is an interesting text book for ean Geometry: in the Spirit of the Mathemati- students of mathematics and physics programs, cal Olympiads” contains theorems which are of Hopf Algebras, Quasisymmetric Functions, and a reference book for graduate students in any particular value for the solution of geometrical and Young Composition Tableaux engineering field. This book is unique in the field problems. Emphasis is given in the discussion of of mathematical analysis in content and in style. a variety of methods, which play a significant role An Introduction to Quasisymmetric Schur Func- It aims to define, compare and discuss topics in for the solution of problems in Euclidean Geom- tions is aimed at researchers and graduate students single variable differential and integral calculus, as etry. Before the complete solution of every prob- in algebraic combinatorics. This book introduces well as giving application examples in important lem, a key idea is presented so that the reader will readers to the algebra of quasisymmetric functions business fields. Some elementary concepts such be able to provide the solution. Applications of the and its fundamental theory. Results and relevant as the power of a set, cardinality, measure theory, basic geometrical methods which include analysis, new contributions are included which pertains to measurable functions are introduced. synthesis, construction and proof are given. the dynamic new basis of quasisymmetric Schur functions. A state-of-the-art summary is included Features Features with respect to an exciting new basis of alge- 7 Treatment of countable and uncountable 7 The book teaches in practice methods of analy- bra, which is the basis of quasisymmetric Schur sets, the cardinality of the continuum; Dedekind sis, synthesis, construction, and proof with specific functions, whose combinatorics is analogous to completeness theorem for the set of real num- problems, examples, and applications 7 Teaches that of the renowned Schur functions. bers 7 Coverage of polynomials and inter- mathematical thinking presented in the most polation, Lagrange and Newton interpolation Features elementary possible form for the solution or formulas 7 Inclusion of Lebesgue measure and proof of every problem or statement of theo- 7 Comprehensive introduction to quasisym- Lebesgue integrals 7 Interesting applications: rem 7 Presents main theorems of Euclidean metric functions for non-specialists 7 First potential and kinetic energy, a body in the earth’s Geometry with a discussion of the central ideas summary of results in the blossoming field of gravitational field, escape 7 At the end of each behind their proofs 7 Provides approximately 25 quasisymmetric 7 Schur functions using Young chapter, many of challenging of problems with problems proposed by leading mathematicians or composition tableaux, which generalize Young answers given in IMO's or short lists for IMO's or BMO's tableaux Contents Contents Contents Introduction to Numbers and Set Theory.- Se- Foreword.- Preface.- Basic Concepts and 1. Introduction.- 2. Classical combinatorial con- quences and Series.- Limits and Continuity of Theorems of Euclidean Geometry.- Methods of cepts.- 3. Hopf algebras.- 4. Compsition tableaux Functions.- Differential Calculus.- Some Basic Analysis, Synthesis, Construction and Proof.- and further combinatorial concepts.- 5. Quasisym- Properties of Differentiable Functions.- Polynomi- Geometrical Constructions.- Geometrical Loci.- metric Schur functions.- References.- Index. als and Interpolations.- Applications of Differen- Problems of Olympiad Caliber.- Solutions of the Fields of interest tial Calculus to Limit Calculations and Extremum Problems.- Bibliography.- Index. Problems.- The Indefinite Integral.- The Definite Algorithms; Topological Groups, Lie Groups; Ap- Integral.- Applications of the Definite Integral. Fields of interest plications of Mathematics Fields of interest Geometry; Algebraic Geometry; Mathematics, Target groups general Analysis; Ordinary Differential Equations Research Target groups Target groups Discount group Lower undergraduate Upper undergraduate Professional Non-Medical Discount group Discount group Professional Non-Medical Professional Non-Medical
Due May 2013 Due May 2013 Available 2013. XIII, 91 p. 75 illus. (SpringerBriefs in 2013. X, 254 p. 134 illus. Hardcover Mathematics) Softcover 2013. XVI, 373 p. 41 illus. Hardcover 7 $49.99 7 $49.99 7 $79.95 9
P. Major, Hungarian Academy of Sciences Budapest, A. Marica, E. Zuazua, BCAM – Basque Center for V. Maz’ya, Linköping University, Sweden; Hungary Applied Mathematics, Derio, Spain A. Movchan, University of Liverpool, UK; M. Nieves, On the Estimation of Multiple Symmetric Discontinuous Liverpool John Moores University, UK Random Integrals and Galerkin Approximations of 1-D Green’s Kernels and Meso-Scale U-Statistics Waves Approximations in Perforated Domains This work starts with the study of those limit Fourier Analysis, Propagation, Observability theorems in probability theory for which classical and Applications Contents methods do not work. In many cases some form Part I: Green’s functions in singularly perturbed of linearization can help to solve the problem, This work describes the propagation proper- domains: Uniform asymptotic formulae for because the linearized version is simpler. But in ties of the so-called symmetric interior penalty Green’s functions for the Laplacian in domains order to apply such a method we have to show that discontinuous Galerkin (SIPG) approximations with small perforations.- Mixed and Neumann the linearization causes a negligible error. The esti- of the 1-d wave equation. This is done by means boundary conditions for domains with small mation of this error leads to some important large of linear approximations on uniform meshes. holes and inclusions. Uniform asymptotics of deviation type problems, and the main subject of First, a careful Fourier analysis is constructed, Green’s kernels.- Green’s function for the Dirichlet this work is their investigation. highlighting the coexistence of two Fourier spec- boundary value problem in a domain with several tral branches or spectral diagrams (physical and inclusions.- Numerical simulations based on the Contents spurious) related to the two components of the asymptotic approximations.- Other examples of 1 Introduction.- 2 Motivation of the investigation. numerical solution (averages and jumps). Efficient asymptotic approximations of Green’s functions Discussion of some problems.- 3 Some estimates filtering mechanisms are also developed by means in singularly perturbed domains.- Part II: Green’s about sums of independent random variables.- 4 of techniques previously proved to be appropri- tensors for vector elasticity in bodies with small On the supremum of a nice class of partial sums.- ate for classical schemes like finite differences or defects: Green’s tensor for the Dirichlet boundary 5 Vapnik– Červonenkis classes and L2-dense P1-classical finite elements. In particular, the work value problem in a domain with a single inclu- classes of functions .- 6 The proof of Theorems presents a proof that the uniform observability sion.- Green’s tensor in bodies with multiple rigid 4.1 and 4.2 on the supremum of random sums.- 7 property is recovered uniformly by considering inclusions.- Green’s tensor for the mixed boundary The completion of the proof of Theorem 4.1.- 8 initial data with null jumps and averages given by value problem in a domain with a small hole.- Part Formulation of the main results of this work.- 9 a bi-grid filtering algorithm. III Meso-scale approximations. Asymptotic treat- Some results about U-statistics.- 10 MultipleW- Contents ment of perforated domains without homogeni- iener–Itô integrals and their properties.- 11 The zation: Meso-scale approximations for solutions diagram formula for products of degenerate -1. Preliminaries. -2. Discontinuous Galerkin approximations and main results. -3. Bibliographi- of Dirichlet problems.- Mixed boundary value U-statistics.- 12 The proof of the diagram formula problems in multiply-perforated domains. for U-statistics.- 13 The proof of Theorems 8.3, 8.5 cal notes. -4. Fourier analysis of the DG methods. and Example 8.7.- 14 Reduction of the main result -5. Non-uniform observability for DG approxi- Fields of interest in this work.- 15 The strategy of the proof for the mations of waves. -6. Filtering mechanisms. -7. Partial Differential Equations; Approximations main result of this work.- 16 A symmetrization Extensions to other numerical approximation and Expansions argument.- 17 The proof of the main result.- 18 schemes. -8. Comments and open problems. –A An overview of the results and a discussion of the technical proof. –References. Target groups Research literature. Fields of interest Field of interest Numerical Analysis; Fourier Analysis; Approxima- Discount group Probability Theory and Stochastic Processes tions and Expansions Professional Non-Medical
Target groups Target groups Research Research
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Due May 2013 Due April 2013 Due May 2013
2013. X, 276 p. 11 illus. (Lecture Notes in 2013. XII, 91 p. 15 illus. in color. (SpringerBriefs in 2013. X, 264 p. 17 illus., 10 in color. (Lecture Notes in Mathematics, Volume 2079) Softcover Mathematics) Softcover Mathematics, Volume 2077) Softcover 7 $59.99 7 approx. $49.95 7 $59.99 9
V. Obukhovskii, Voronezh State Pedagogical A. A. Roytvarf, Rishon LeZion, Center District, Israel A. I. Saichev, ETH Zürich, Switzerland; University, Russia; P. Zecca, Università di Firenze, W. A. Woyczynski, Case Western Reserve University, Italy; N. Van Loi, PetroVietNam University, Ha Noi, Thinking in Problems Cleveland, OH, USA Vietnam; S. Kornev, Voronezh State Pedagogical How Mathematicians Find Creative Solutions University, Russia Distributions in the Physical & This concise, self-contained textbook gives an Engineering Sciences, Volume 2 Method of Guiding Functions in in-depth look at problem-solving from a math- Problems of Nonlinear Analysis ematician’s point-of-view. Each chapter builds off Partial Differential Equations and Probability the previous one, while introducing a variety of Volume 2 This book offers a self-contained introduction to methods that could be used when approaching the theory of guiding functions methods, which any given problem. Distributions in the Physical and Engineering can be used to study the existence of periodic Sciences is a comprehensive exposition on analytic solutions and their bifurcations in ordinary dif- Features methods for solving science and engineering prob- ferential equations, differential inclusions and in 7 Introduces key problem-solving techniques lems. It is written from the unifying viewpoint of control theory. It starts with the basic concepts in depth 7 Provides the reader with a range distribution theory and enriched with many mod- of nonlinear and multivalued analysis, describes of methods that are used in numerous math- ern topics which are important for practitioners the classical aspects of the method of guiding ematical fields 7 Each self-contained chapter and researchers. The goal of the books is to give functions, and then presents recent findings only builds on the previous one, allowing the reader the reader, specialist and non-specialist, useable available in the research literature. It describes to uncover new approaches and prepare creative and modern mathematical tools in their research essential applications in control theory, the theory solutions 7 Corresponding hints, explanations, and analysis. and full solutions are supplied for each prob- of bifurcations, and physics, making it a valuable Features resource not only for “pure” mathematicians, but lem 7 The difficulty level for all examples are indicated throughout the book 7 Application oriented exposition of distribu- also for students and researchers working in ap- tional (Dirac delta) methods in the theory of plied mathematics, the engineering sciences and Contents partial differential equations 7 Includes a large physics. Preface.- Using the Stars on Problems.- Under- number of exercises and solutions expanding Features standing the Advanced Skill Requirements.- Ac- on themes developed in the main text 7 Clear 7 May serve as the convenient introduction into knowledgements.- Jacobi Identities and Related explanations, motivations, and illustration of all intensively developing and interesting branches Combinatorial Formulas.- A Property of Recursive necessary mathematical concepts Sequences.- A Combinatorial Algorithm in Multi- of contemporary nonlinear analysis, theory of Contents exponential Analysis.- A Frequently Encountered differential equations and inclusions and control III POTENTIALS, DIFFUSIONS AND WAVES.- 7 Determinant.- A Dynamical System with a Strange theory The presentation is self-contained and 9 Potential Theory and Fundamental Solutions of directed to a non-specialist Contains interesting Attractor.- Polar and Singular Value Decomposi- tion Theorems.- 2x2 Matrices Which Are Roots of Elliptic Equations.- 10 Diffusions and Parabolic applications of the theory in control theory, theory Evolution Equations.- 11 Waves and Hyperbolic of bifurcations and physics Unity.- A Property of Orthogonal Matrices.- Con- vexity and Related Classical Inequalities.- One-Pa- Equations.- 12 First Order Nonlinear PDEs and Contents rameter Groups of Linear Transformations.- Some Conservation Laws.- 13 Generalized Solutions 1 Background.- 2 MGF in Finite-Dimensional Problems in Combinatorics and Analysis that can of First Order Nonlinear PDEs.- 14 Nonlinear Spaces.- 3 Guiding Functions in Hilbert Spaces.- 4 be Explored using Generating Functions.- Least waves and growing interfaces: 1-D Burgers-KPZ Second-Order Differential Inclusions.- 5 Nonlin- Squares and Chebyshev Systems.- References.- In- models.- 15 Other Standard Nonlinear Models of ear Fredholm Inclusions. dex of Terms. Higher Order.- Appendix A: Answers and Solu- tions.- Appendix B: Bibliographical Notes. Fields of interest Fields of interest Field of interest Mathematics, general; Operator Theory; Game Algebra; Analysis; Combinatorics Theory, Economics, Social and Behav. Sciences Mathematics, general Target groups Target groups Target groups Graduate Research Research Discount group Discount group Discount group Professional Non-Medical Professional Non-Medical Professional Non-Medical
Due April 2013 Due July 2013 Available 2013. XIII, 177 p. (Lecture Notes in Mathematics, 2013. XX, 370 p. 110 illus., 15 in color. (Applied and Volume 2076) Softcover 2013. XXXVII, 405 p. 14 illus. Hardcover Numerical Harmonic Analysis) Hardcover 7 $49.95 7 $79.95 7 approx. $79.99 9
K. Sakai S. Schewe, University of Liverpool, UK B. Simeon, Technische Universität Kaiserslautern Geometric Aspects of General Synthesis of Distributed Computational Flexible Topology Systems Multibody Dynamics
This book is designed for graduate students to Distributed and parallel systems have an increas- A Differential-Algebraic Approach acquire knowledge of dimension theory, ANR ing influence on our lives. Defective systems can This monograph, written from a numerical analy- theory (theory of retracts), and related topics. endanger our lives or health (e.g., in the control sis perspective, aims to provide a comprehensive These two theories are connected with vari- of airbags) and cause considerable costs (e.g., treatment of both the mathematical framework ous fields in geometric topology and in general transactions processing). For computer science and the numerical methods for flexible multibody topology as well. Hence, for students who wish this implies the challenge to establish a sound dynamics. Not only is this field permanently and to research subjects in general and geometric mathematical foundation for the development rapidly growing, with various applications in topology, understanding these theories will be of such systems. This book provides a central aerospace engineering, biomechanics, robotics, valuable. Many proofs are illustrated by figures or contribution in this field: It presents a solution to and vehicle analysis, its foundations can also be diagrams, making it easier to understand the ideas the synthesis problem of distributed systems, that built on reasonably established mathematical of those proofs. Although exercises as such are not is, for automatically deriving an implementation models. Regarding actual computations, great included, some results are given with only a sketch from its specification. strides have been made over the last two decades, of their proofs. Completing the proofs in detail as sophisticated software packages are now capable provides good exercise and training for graduate Features of simulating highly complex structures with rigid students and will be useful in graduate classes or 7 Excellently written overview of an area of and deformable components. The approach used seminars. Researchers should also find this book interest in logic and theoretical computer sci- in this book should benefit graduate students and very helpful, because it contains many subjects ence 7 Makes a central contribution to the scientists working in computational mechanics that are not presented in usual textbooks, e.g., dim mathematical foundation for the development and related disciplines as well as those interested X × I = dim X + 1 for a metrizable space X; the of distributed systems 7 Model checking has in time-dependent partial differential equations difference between the small and large inductive become a hot topic also in other fields such as and heterogeneous problems with multiple time dimensions; a hereditarily infinite-dimensional biology scales. space; the ANR-ness of locally contractible Contents countable-dimensional metrizable spaces; an Introduction.- Parity Games.- Solving Parity Features infinite-dimensional space with finite cohomologi- Games in Big Steps.-Optimal Strategy Improve- 7 First comprehensive treatment of mathematical cal dimension; a dimension raising cell-like map; ment.- Logics & Automata.- Satisfiability of models and numerical methods in the field of flex- and a non-AR metric linear space. ATµC.- ATL* Satisfiability is 2EXPTIME-com- ible multibody dynamics 7 Detailed discussion Features plete.- Open & Distributed Synthesis.- Uniform of state-of-the-art numerical methods both from a theoretical and practical viewpoint 7 Author is a 7 The perfect book for acquiring fundamental Distributed Synthesis.- Bounded Synthesis.- Ex- renowned expert in the field knowledge of simplicial complexes and the theo- cursion: Probabilistic Environments.- Semi-Auto- matic Synthesis.- Asynchronous Systems.- Sum- ries of dimension and retracts 7 Many proofs Contents mary & Conclusions. are illustrated by figures or diagrams for easier un- A Point of Departure.- Rigid Multibody Dynam- derstanding 7 Fascinating problems in the final Fields of interest ics.- Elastic Motion.- Flexible Multibody Dynam- chapter enable readers to understand how deeply Systems Theory, Control; Mathematical Logic and ics.- Spatial Discretization.- Stiff Mechanical related the theories of dimension and retracts are Foundations; Mathematical Logic and Formal Systems.- Time Integration Methods.- Numerical Fields of interest Languages Case Studies. Topology; Convex and Discrete Geometry; Target groups Fields of interest Geometry Research Numerical Analysis; Mechanics; Ordinary Dif- Target groups ferential Equations Discount group Research Professional Non-Medical Target groups Discount group Research Professional Non-Medical Discount group Professional Non-Medical
Due May 2013 Due May 2013 Due July 2013
2013. XII, 534 p. 79 illus. (Springer Monographs in 2013. 300 p. (Progress in Computer Science and 2013. Approx. 250 p. (Differential-Algebraic Mathematics) Hardcover Applied Logic, Volume 26) Hardcover Equations Forum) Softcover 7 $149.00 7 approx. $109.00 7 approx. $119.00 ISBN9
S. Stepanov, Dneropetrovsk, Ukraine E. Tonti, Università di Trieste, Italy A. Tveito, Simula Research Laboratory, Lysaker, Norway; A. M. Bruaset, Simular Research Laboratory, Stochastic World The Mathematical Structure Lysaker, Norway (Eds) This authored monograph presents an introduc- of Classical and Relativistic Conversations About tion to the Ito calculus techniques used to handle Physics stochastic differential equations. The book covers a Challenges in Computing broad spectrum of techniques which are useful for A General Classification Diagram Interview by: K. Aspaas, Oslo, Norway; working with stochastic equations. Two chapters D. Mackenzie, Santa Cruz, CA, USA Features are devoted to corresponding applications in 7 Presents an original mathematical analysis physics, biology and finance. The target audience of the underlying analogies in diverse branches Contents primarily comprises professionals in the applica- of physics 7 Provides a novel classification Part I: Communications Systems: 1 The Nature of tion fields but the book may also be beneficial for of physical variables 7 A valuable resource the Beast: An interview with Olav Lysne.- 2 Ignit- graduate students. across many disciplines in applied mathematics, ing the New Internet: An interview with Keith Features physics, and engineering 7 Clear exposition Marzullo.- 3 The Internet of Things: An interview with Heinrich Stüttgen.- Part II: Computational 7 Requires only minimum prior knowledge of includes hundreds of figures to enhance under- Science: 4 The Mathematics of the Mind: An probability theory 7 Ideally suited for profes- standing 7 Useful for both advanced students interview with Hans Petter Langtangen.- 5 Solving sionals who want to quickly grasp the mate- and professional researchers Puzzle Earth by Adaptive Mesh Refinement: An rial 7 Contains problems with detailed solutions Contents interview with Carsten Burstedde.- 6 Compu- in the appendix 7 Written by an expert in the 1 Introduction.- Part I Analysis of variables and tational Inverse Problems Can Drive a Big Data field equations.- 2 Terminology revisited.- 3 Space Revolution: An interview with Omar Ghattas.- 7 Fields of interest and time elements and their orientation.- 4 Cell Towards the ‘Google Heart’: Aninterview with Probability Theory and Stochastic Processes; complexes.- 5 Analysis of physical variables.- 6 Natalia Trayanova.- 8 As Simple as Possible, but Numeric Computing; Mathematical Methods in Analysis of physical equations.- 7 Algebraic topol- Not Simpler: An interview with Alfio Quarteroni.- Physics ogy.- 8 The birth of the classification diagrams.- Part III: Software Engineering.- 9 A Caring Critic: Part II Analysis of physical theories.- 9 Particle An interview with Magne Jørgensen.- 10 Through Target groups dynamics.- 10 Electromagnetism.- 11 Mechanics the Looking Glass into Digital Space: An interview Research of deformable solids.- 12 Mechanics of fluids.- 13 with Paola Inverardi.- 11 Harmonizing the Babel Other physical theories.- Part III Advanced analy- of Voices: An interview with Martin Shepperd.- 12 Discount group sis.- 14 General structure of the diagrams.- 15 The Mediating between Man and Machine: An inter- Professional Non-Medical mathematical structure.- Part IV Appendices.- A view with Bashar Nuseibeh. Affine vector fields.- B Tensorial notation.- C On observable quantities.- D History of the dia- Fields of interest gram.- D.1 Historical remarks.- E List of physical Computational Science and Engineering; Partial variables.- F List of symbols used in this book.- G Differential Equations; Mathematical Modeling List of diagrams.- References. and Industrial Mathematics
Fields of interest Target groups Mathematical Physics; Mathematical Methods in Popular/general Physics; Partial Differential Equations Discount group Target groups Professional Non-Medical Graduate
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Due June 2013
Due May 2013 2013. XVI, 540 p. 151 illus., 13 in color. (Modeling and Due May 2013 Simulation in Science, Engineering and Technology) 2013. 350 p. 70 illus., 20 in color. Hardcover Hardcover 2013. Approx. 130 p. 12 illus. in color. Hardcover 7 approx. $179.00 7 $149.00 7 $29.99 9
D. Wu, The Hong Kong University of Science & A. J. Zaslavski, Technion - Israel Institute of Technology, Hong Kong, China Technology, Haifa, Israel Foundations of Text Alignment Nonconvex Optimal Control and Statistical Machine Translation Models from Variational Problems Bitexts to Bigrammars Nonconvex Optimal Control and Variational This book provides a systematic, foundational Problems is an important contribution to the introduction to automatic alignment of parallel existing literature in the field and is devoted to the texts, a family of essential corpus analysis tech- presentation of progress made in the last 15 years niques for computing and learning the mappings of research in the area of optimal control and the between corresponding parts of the texts. Bitext calculus of variations. alignment lies at the heart of all data-driven machine learning approaches to automatic transla- Features tion, and the rapid research progress on alignment 7 Presents progress in the studies of nonconvex during the past two decades underlies the success optimal control and variational problems 7 Em- of statistical machine translation approaches. ploys the Baire category approach to consider Alignment is used across a wide range of resource problems that do not satisfy convexity assump- acquisition applications including word sense dis- tions 7 Establishes the well-posedness of a ambiguation, terminology extraction, and gram- typical optimal control problem without convexity mar induction, as well as in translation memories assumptions and biconcordances for translators’ assistants, Contents bilingual lexicographers, and computer assisted Preface.- 1. Introduction.- 2. Well-posedness of language learners. Optimal Control Problems.- 3. Well-posedness Features and Porosity.- 4. Well-posedness of Nonconvex 7 The book provides a systematic, foundational Variational Problems.- 5. Gerenic Well-posedness introduction to automatic alignment of parallel result.- 6. Nonoccurrence of the Lavrentiev Phe- texts 7 It surveys a wide variety of fundamental nomenon for Variational Problems.- 7. Nonoccur- alignment techniques including: IBM and HMM rence of the Lavrentiev Phenomenon in Optimal alignment models, techniques for aligning compa- Control.- 8. Generic Nonoccurrence of the rable corpora and learning of phrasal bilexicons, Lavrentiev phenomenon.- 9. Infinite Dimensional more recent alignment techniques such as greedy/ Linear Control Problems.- 10. Uniform Bound- competitive approaches and LTG models 7 Use- edness of Approximate Solutions of Variational ful for both practitioners and researchers in Problems.- 11. The Turnpike Property for Ap- machine translation, natural language processing, proximate Solutions.- 12. A Turnpike Result For bilingual lexicography, and computer assisted Optimal Control Systems.- References.- Index. language learners Fields of interest Fields of interest Calculus of Variations and Optimal Control; Opti- Applications of Mathematics; Language Transla- mization; Optimization tion and Linguistics; Probability and Statistics in Target groups Computer Science Research Target groups Discount group Graduate Professional Non-Medical Discount group Professional Non-Medical
Due May 2013 Due June 2013
2012. X, 90 p. (Theory and Applications of Natural 2013. XII, 240 p. (Springer Optimization and Its Language Processing) Hardcover Applications, Volume 82) Hardcover 7 $29.95 7 $129.00 ISBN9