Mathematics springer.com/NEWSonline
R. Azencott, University of Houston, TX, USA; J. Batzel, Medical University of Graz, Austria; P. Collet, Ecole Polytechnique, Paris, France; M. I. Freidlin, University of. Maryland, College Park, M. Bachar, King Saud University, Riyadh, Saudi S. Martínez, J. San Martín, University of Chile, MD, USA; S. S. Varadhan, New York University, NY, Arabia; F. Kappel, University of Graz, Austria (Eds) Santiago, Chile USA Mathematical Modeling and Quasi-Stationary Distributions Large Deviations at Saint-Flour Validation in Physiology Markov Chains, Diffusions and Dynamical Contents: Azencott, R. : Large deviations and Applications to the Cardiovascular and Systems applications.- Freidlin, Mark I. Semi-linear PDE’s Respiratory Systems and limit theorems for large deviations- Varadhan, Main concepts of quasi-stationary distributions (QSDs) for killed processes are the focus of the Srinivasa R.S.: Large deviations and applications. Features present volume. For diffusions, the killing is at 7 Focused study of modeling from model design Contents the boundary and for dynamical systems there is to model identifiability and validation 7 Written a trap. The authors present the QSDs as the ones Azencott, R. : Large deviations and applications.- by current leading experts in the field and includ- that allow describing the long-term behavior Freidlin, Mark I. Semi-linear PDE’s and limit ing topics of current research interest in state conditioned to not being killed. Studies in this re- theorems for large deviations- Varadhan, Srinivasa of the art questions and methods 7 Focus on search area started with Kolmogorov and Yaglom R.S.: Large deviations and applications. interdisciplinary (physiological and mathemati- and in the last few decades have received a great cal) collaboration and applications of modeling Fields of interest deal of attention. The authors provide the expo- with clinical relevance 7 Presentation of key Probability Theory and Stochastic Processes; nential distribution property of the killing time theoretical ideas and current areas of research Partial Differential Equations for QSDs, present the more general result on their interest through clear and motivated examples of existence and study the process of trajectories that application and implementation Target groups survive forever. For birth-and-death chains and Research Contents diffusions, the existence of a single or a continuum of QSDs is described. They study the convergence Discount group 1 Merging Mathematical and Physiological to the extremal QSD and give the classification of Professional Non-Medical Knowledge: Dimensions and Challenges.- 2 Math- ematical Modeling of Physiological Systems.- 3 Pa- the survival process. rameter Selection Methods in Inverse Problem Features Formulation.- 4 Application of the Unscented 7 Deals with an area that has received a lot of Kalman Filtering to Parameter Estimation.- 5 Inte- attention in last decades 7 Provides numerous grative and Reductionist Approaches to Modeling examples 7 Focuses on selected topics of Control of Breathing.- 6 Parameter Identifica- tion in a Respiratory Control System Model with Contents Delay.- 7 Experimental Studies of Respiration and 1.Introduction.- 2.Quasi-stationary Distributions: Apnea.- 8 Model Validation and Control Issues in General Results.- 3.Markov Chains on Finite the Respiratory System.- 9 Experimental Studies Spaces.- 4.Markov Chains on Countable Spaces.- of the Baroreflex.- 10 Development of Patient Spe- 5.Birth and Death Chains.- 6.Regular Diffusions cific Cardiovascular Models Predicting Dynamics on [0,∞).- 7.Infinity as Entrance Boundary.- 8.Dy- in Response to Orthostatic Stress Challenges.- 11 namical Systems.- References.- Index.- Table of Parameter Estimation of a Model for Baroreflex Notations.- Citations Index. Control of Unstressed Volume. Fields of interest Fields of interest Probability Theory and Stochastic Processes; Mathematical and Computational Biology; Hu- Dynamical Systems and Ergodic Theory; Genetics man Physiology; Computer Appl. in Life Sciences and Population Dynamics
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Due October 2012
Based on original French edition: “Ecole d’Ete de Due November 2012 Probabilites de Saint-Flour VIII”, 1978 Due December 2012 2013. X, 290 p. 83 illus., 34 in color. (Lecture Notes in 2013. Approx. 400 p. (Probability at Saint-Flour) Mathematics / Mathematical Biosciences Subseries, 2013. XVIII, 342 p. 14 illus., 12 in color. (Probability Softcover Volume 2064) Softcover and Its Applications) Hardcover 7 $69.95 7 $89.95 7 $129.00 9
D. V. Cruz-Uribe, Trinity College, Hartford, CT, USA; C. A. de Moura, Rio de Janeiro State University, RJ, W. Ebeling, Leibniz Universität Hannover A. Fiorenza, University of Naples, Italy Brazil; C. S. Kubrusly, Catholic University of Rio de Lattices and Codes Variable Lebesgue Spaces Janeiro, RJ, Brazil (Eds) The Courant–Friedrichs–Lewy A Course Partially Based on Lectures by Foundations and Harmonic Analysis Friedrich Hirzebruch (CFL) Condition This book provides an accessible introduction The purpose of coding theory is the design of effi- 80 Years After its Discovery to the theory of variable Lebesgue spaces. These cient systems for the transmission of information. spaces generalize the classical Lebesgue spaces by This volume comprises a carefully selected col- The mathematical treatment leads to certain finite replacing the constant exponent p with a variable lection of articles emerging from and pertinent to structures: the error-correcting codes. Surpris- exponent p(x). They were introduced in the early the 2010 CFL-80 conference in Rio de Janeiro, cel- ingly problems which are interesting for the design 1930s but have become the focus of renewed ebrating the 80th anniversary of the Courant- of codes turn out to be closely related to problems interest since the early 1990s because of their con- Friedrichs-Lewy (CFL) condition. studied partly earlier and independently in pure nection with the calculus of variations and partial mathematics. In this book, examples of such differential equations with nonstandard growth Features connections are presented. The relation between conditions, and for their applications to problems 7 All articles carefully selected and written by lattices studied in number theory and geometry in physics and image processing. The book begins well-known experts 7 Provides a survey of the and error-correcting codes is discussed. The book with the development of the basic function space current state of the field 7 Includes original provides at the same time an introduction to the properties. It avoids a more abstract, functional research results theory of integral lattices and modular forms and analysis approach, instead emphasizing an hands- to coding theory. In the 3rd edition, again numer- on approach that makes clear the similarities and Contents ous corrections and improvements have been differences between the variable and classical Leb- Foreword.- Stability of Different Schemes.- Math- made and the text has been updated. esgue spaces. The subsequent chapters are devoted ematical Intuition: Poincaré, Pólya, Dew- to harmonic analysis on variable Lebesgue spaces. ey.- Three-dimensional Plasma Arc Simulation Features using Resistive MHD.- A Numerical Algorithm 7 Master course on the relationship between Features for Ambrosetti-Prodi Type Operators.- On the coding theory and the 7 theory of integral lat- 7 Proofs are developed in detail, illustrating the Quadratic Finite Element Approximation of 1-D tices 7 Linking classical mathematics to modern standard techniques used in the field 7 Acces- Waves: Propagation, Observation, Control, and aspects in the design of codes 7 With many sible for research mathematicians as well as gradu- Numerical Implementation.- Space-Time Adap- examples and connections to number theory and ate students 7 Provides a thorough and up to tive Mutilresolution Techniques for Compressible geometry date bibliographic treatment that makes clear the Euler Equations.- A Framework for Late-time/stiff Contents history and development of the field Relaxation Asymptotics.- Is the CFL Condition Lattices and Codes.- Theta Functions and Weight Contents Sufficient? Some Remarks.- Fast Chaotic Artificial Time Integration.- Appendix A.- Hans Lewy’s Enumerators.- Even Unimodular Lattices.- The 1 Introduction.- 2 Structure of Variable Leb- Recovered String Trio.- Appendix B.- Appendix Leech Lattice.- Lattices over Integers of Number esgue Spaces.- 3 The Hardy-Littlewood Maximal C.- Appendix D. Fields and Self-Dual Codes. Operator.- 4 Beyond Log-Hölder Continuity.- 5 Extrapolation in the Variable Lebesgue Spaces.- 6 Fields of interest Fields of interest Basic Properties of Variable Sobolev Spaces.- Ap- Computational Mathematics and Numerical Mathematics, general; Algebra pendix: Open Problems.- Bibliography.- Symbol Analysis; Partial Differential Equations; Theory of Index.- Author Index.- Subject Index. Target groups Computation Graduate Fields of interest Target groups Discount group Abstract Harmonic Analysis; Functional Analysis; Research Global Analysis and Analysis on Manifolds Professional Non-Medical Discount group Target groups Professional Non-Medical Research
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Due January 2013 Due September 2012 Due December 2012 2013. X, 316 p. (Applied and Numerical Harmonic 3rd ed. 2012. XVI, 167 p. 50 illus. (Advanced Lectures Analysis) Hardcover 2013. X, 250 p. 53 illus., 37 in color. Hardcover in Mathematics) Softcover 7 $129.00 7 $109.00 7 $59.95 9
D. Futer, Temple University, Philadelphia, PA, G. Gentili, University of Florence, Italy; C. Stoppato, F. Herzberg, University of Bielefeld, Germany USA; E. Kalfagianni, Michigan State University, University of Milan, Italy; D. C. Struppa, Chapman East Lansing, MI, USA; J. Purcell, Brigham Young University, Orange, CA, USA Stochastic Calculus with University, Provo, UT, USA Regular Functions of a Infinitesimals Guts of Surfaces and the Quaternionic Variable Stochastic analysis is not only a thriving area of Colored Jones Polynomial pure mathematics with intriguing connections The theory of slice regular functions over to partial differential equations and differential This monograph derives direct and concrete rela- quaternions is the central subject of the present geometry. It also has numerous applications in tions between colored Jones polynomials and the volume. This recent theory has expanded rapidly, the natural and social sciences (for instance in topology of incompressible spanning surfaces in producing a variety of new results that have caught financial mathematics or theoretical quantum knot and link complements. Under mild diagram- the attention of the international research com- mechanics) and therefore appears in physics and matic hypotheses, we prove that the growth of munity. At the same time, the theory has already economics curricula as well. the degree of the colored Jones polynomials is a developed sturdy foundations. The richness of the boundary slope of an essential surface in the knot theory of the holomorphic functions of one com- Features complement. We show that certain coefficients plex variable and its wide variety of applications 7 A demonstrably consistent use of infinitesi- of the polynomial measure how far this surface is are a strong motivation for the study of its analogs mals permits a radically simplified approach to from being a fiber for the knot; in particular, the in higher dimensions. stochastic calculus 7 Chapters on asset pricing, surface is a fiber if and only if a particular coef- Lévy processes and the Feynman path integral ficient vanishes. We also relate hyperbolic volume Features introduce readers to applications 7 Appendixes to colored Jones polynomials. Our method is to 7 The book is entirely devoted to a new explore the relationship with Internal Set Theory generalize the checkerboard decompositions of theory 7 Presents a state of the art survey of the and Robinsonian nonstandard analysis alternating knots. theory of slice regular functions 7 The theory presented in the book is the basis for the solution Contents Features to an outstanding problem, the construction of 1 Infinitesimal calculus, consistently and acces- 7 Relates all central areas of modern 3-dimen- functional calculus in non commutative settings sibly.- 2 Radically elementary probability theory.- sional topology 7 The first monograph which 3 Radically elementary stochastic integrals.- initiates a systematic study of relations between Contents 4 The radically elementary Girsanov theorem and quantum and geometric topology 7 Appeals to Introduction.- 1.Definitions and Basic Results.- the diffusion invariance principle.- 5 Excursion a broad audience of 3-dimensional topologists: 2.Regular Power Series.- 3.Zeros.- 4.Infinite to nancial economics: A radically elementary combines tools from mainstream areas of 3-di- Products.- 5.Singularities.- 6.Integral Represen- approach to the fundamental theorems of asset mensional topology tations.- 7.Maximum Modulus Theorem and pricing.- 6 Excursion to financial engineering: Applications.- 8.Spherical Series and Differen- Volatility invariance in the Black-Scholes model.- Contents tial.- 9.Fractional Transformations and the Unit 7 A radically elementary theory of Itô diffusions 1 Introduction.- 2 Decomposition into 3–balls.- Ball.- 10.Generalizations and Applications.- Bibli- and associated partial differential equations.- 3 Ideal Polyhedra.- 4 I–bundles and essential ography.- Index. 8 Excursion to mathematical physics: A radically product disks.- 5 Guts and fibers.- 6 Recognizing elementary definition of Feynman path integrals.- essential product disks.- 7 Diagrams without non- Fields of interest 9 A radically elementary theory of Lévy process- prime arcs.- 8 Montesinos links.- 9 Applications.- Functions of a Complex Variable; Sequences, es.- 10 Final remarks. 10 Discussion and questions. Series, Summability; Functional Analysis Fields of interest Fields of interest Target groups Mathematical Logic and Foundations; Probability Manifolds and Cell Complexes (incl. Diff.Topol- Research Theory and Stochastic Processes; Game Theory, ogy); Hyperbolic Geometry Economics, Social and Behav. Sciences Discount group Target groups Professional Non-Medical Target groups Research Research
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Due December 2012 Due December 2012 Due November 2012
2013. X, 173 p. 63 illus., 46 in color. (Lecture Notes in 2013. XVI, 188 p. 4 illus., 3 in color. (Springer 2013. X, 120 p. (Lecture Notes in Mathematics, Mathematics, Volume 2069) Softcover Monographs in Mathematics) Hardcover Volume 2067) Softcover 7 $59.95 7 $109.00 7 $49.95 9
A. M. Hinz, Ludwigs-Maximilians Universität S. Jeschke, I. Isenhardt, F. Hees, K. Henning, RWTH D. Jungnickel, University of Augsburg, Germany München, Germany; S. Klavžar, University of Aachen University, Germany (Eds) Graphs, Networks and Ljubljana, Slovenia; U. Milutinović, University of Automation, Communication Maribor, Slovenia; C. Petr, Institute of Mathematics, Algorithms Physics and Mechanics, Ljubljana, Slovenia and Cybernetics in Science and From the reviews of the previous editions The Tower of Hanoi – Myths and Engineering 2011/2012 7 The book is a first class textbook and seems to be indispensable for everybody who has to teach Maths Contents combinatorial optimization. It is very helpful for Foreword.- List of Contributors.- Part 1: Agile This is the first comprehensive monograph on the students, teachers, and researchers in this area. and Turbulence-Suitable Processes for Knowledge mathematical theory of the solitaire game “The The author finds a striking synthesis of nice and and Technology Intensive Organizations.- Part Tower of Hanoi” which was invented in the 19th interesting mathematical results and practical 2: Next-Generation Teaching and Learning century by the French number theorist Édouard applications. ... the author pays much attention to Concepts for Universities and the Economy.- Part Lucas. The book comprises a survey of the histori- the inclusion of well-chosen exercises. The reader 3: Cognitive IT-Supported Processes for Hetero- cal development from the game’s predecessors up does not remain helpless; solutions or at least hints geneous and Cooperative Systems.- Part 4: Target to recent research in mathematics and applications are given in the appendix. Except for some small Group-Adapted User Models for Innovation and in computer science and psychology. basic mathematical and algorithmic knowledge the Technology Development Processes.- Part 5: book is self-contained ... 7 K.Engel, Mathematical Semantic Networks and Ontologies for Complex Features Reviews 2002 7 The first comprehensive monograph on the Value Chains and Virtual Environments.- Appen- topic 7 Thorough presentation of the histori- dix: Monographs and Published Books from IMA/ Features cal development 7 Numerous attractive figures ZLW & IfU. 7 Thoroughly revised new edition 7 Further and original photos 7 Connections to various material added 7 Additional exercises 7 Addi- Fields of interest mathematical fields and applications to fields like tional references Computational Science and Engineering; Artificial computer science and psychology 7 Exercises Intelligence (incl. Robotics); Robotics and Auto- with hints and solutions 7 No special knowl- Contents mation edge of advanced mathematics assumed from the Prefaces.- Basic Graph Theory.- Algorithms and Complexity.- Shortest Paths.- Spanning Trees.- reader Target groups The Greedy Algorithm.- Flows.- Combinatorial Research Contents Applications.- Connectivity and Depth First Foreword by Ian Stewart.- Preface.- 0 The Begin- Discount group Search.- Colorings.- Circulations.- The Network ning of the World.- 1 The Chinese Rings.- 2 The Professional Non-Medical Simplex Algorithm.- Synthesis of Networks.- Classical Tower of Hanoi.- 3 Lucas’s Second Prob- Matchings.- Weighted Matchings.- A Hard Prob- lem.- 4 Sierpinski Graphs.- 5 The Tower of Hanoi lem: The TSP.- Appendix A: Some NP-Complete with More Pegs.- 6 Variations of the Puzzle.- 7 The Problems.- Appendix B: Solutions.- Appendix C: Tower of London.- 8 Tower of Hanoi Variants with List of Symbols.- References.- Index. Oriented Disc Moves.- 9 The End of the World.- A Hints and Solutions to Exercises.- Glossary.- Bib- Fields of interest liography.- Name Index.- Subject Index.- Symbol Combinatorics; Optimization; Mathematics of Index. Computing
Fields of interest Target groups Mathematics, general; History of Mathematical Graduate Sciences; Sequences, Series, Summability Discount group Target groups Professional Non-Medical Upper undergraduate
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Due November 2012 Due October 2012 Due December 2012 4th ed. 2013. XXII, 678 p. 211 illus. (Algorithms and 2012. XII, 331 p. Hardcover 2013. 1200 p. Hardcover Computation in Mathematics, Volume 5) Hardcover 7 approx. $89.95 7 $189.00 7 $89.95 9
Y. I. Karlovich, Universidad Autónoma del Estado M. G. Larson, F. Bengzon, Umeå University, Umea, L. Lebedev, Universidad Nacional de Colombia, de Morelos, Cuernavaca, MO, Mexico; L. Rodino, Sweden Bogota, Colombia; M. Cloud, Lawrence University of Torino, Italy; B. Silbermann, Technical The Finite Element Method: Technological University, MI, USA; I. I. Vorovich University Chemnitz, Germany; I. M. Spitkovsky, Functional Analysis in College of William and Mary, Williamsburg, VA, USA Theory, Implementation, and (Eds) Applications Mechanics Operator Theory, Pseudo- This book offers a brief, practically complete, and This book gives an introduction to the finite ele- relatively simple introduction to functional analy- Differential Equations, and ment method as a general computational method sis. It also illustrates the application of functional for solving partial differential equations approxi- Mathematical Physics analytic methods to the science of continuum me- mately. The Vladimir Rabinovich Anniversary Volume chanics. Abstract but powerful mathematical no- Features tions are tightly interwoven with physical ideas in This volume is a collection of papers devoted to 7 Introduction to finite elements only based on the treatment of nontrivial boundary value prob- the 70th birthday of Professor Vladimir Rabi- calculus and linear algebra 7 Covers theory, lems for mechanical objects. This second edition novich. The opening article (by Stefan Samko) implementation and applications. Focus on basic includes more extended coverage of the classical includes a short biography of Vladimir Rabinov- mathematical principles and consequent use of the and abstract portions of functional analysis. Taken ich, along with some personal recollections and same approach in different applications 7 Matlab together, the first three chapters now constitute a bibliography of his work. It is followed by twenty programs included 7 Wide range of applications regular text on applied functional analysis. research and survey papers in various branches of including solid mechanics, electromagnetics, and Features analysis (pseudodifferential operators and partial fluid mechanics 7 Covers modern topics such as 7 The mathematical material is treated in a non- differential equations, Toeplitz, Hankel, and con- adaptivity based on duality arguments volution type operators, variable Lebesgue spaces, abstract manner and is fully illuminated by the etc.) close to Professor Rabinovich’s research Contents underlying mechanical ideas 7 The presenta- interests. Many of them are written by participants 1. Piecewise Polynomial Approximation in 1D.- 2. tion is concise but complete, and is intended for of the International workshop “Analysis, Opera- The Finite Element Method in 1D.- 3. Piecewise specialists in continuum mechanics who wish tor Theory, and Mathematical Physics” (Ixtapa, Polynomial Approximation in 2D.- 4. The Finite to understand the mathematical underpinnings Mexico, January 23–27, 2012) having a long Element Method in 2D.- 5. Time-dependent Prob- of the discipline 7 Exercises and examples are history of scientific collaboration with Vladimir lems.- 6. Solving Large Sparse Linear Systems.- 7. included throughout with detailed solutions pro- Rabinovich, and are partially based on the talks Abstract Finite Element Analysis.- 8. The Finite vided in the appendix presented there. Element.- 9. Non-linear Problems.- 10. Transport Contents Problems.- 11. Solid Mechanics.- 12. Fluid Me- Introduction.- Metric, Banach, and Hilbert Features chanics.- 13. Electromagnetics.- 14. Discontinuous Spaces.- Mechanics Problems from the Functional 7 Wide spectrum of important problems in Galerkin Methods.- A. Some Additional Matlab Analysis Viewpoint.- Some Spectral Problems of operator theory, PDEs, mathematical physics and Code.- References. numerical analysis 7 Modern methods and ap- Mechanics.- Elements of Nonlinear Functional proaches 7 Dedicated to Vladimir Rabinovich Fields of interest Analysis.- Summary of Inequalities and Imbed- Computational Science and Engineering; Partial dings.- Hints for Selected Problems.- References.- Contents Differential Equations; Theoretical and Applied In Memoriam: Iosif I. Vorovich.- Index.- Preface.- Contributions by renowned scientists.- Mechanics References. Fields of interest Target groups Functional Analysis; Partial Differential Equa- Fields of interest Upper undergraduate tions; Mechanics Partial Differential Equations; Operator Theory Discount group Target groups Target groups Professional Non-Medical Research Research Discount group Discount group Professional Non-Medical Professional Non-Medical
Due December 2012 Due November 2012 Due December 2012 2013. XVI, 372 p. 86 illus., 49 in color. (Texts in 2013. XXVI, 408 p. 12 illus. in color. (Operator Theory: Computational Science and Engineering, Volume 10) 2nd ed. 2013. X, 307 p. (Springer Monographs in Advances and Applications, Volume 228) Hardcover Hardcover Mathematics) Hardcover 7 approx. $169.00 7 $79.95 7 $129.00 9
E. Lord, Bangalore A. Malyarenko, Mälardalen University, Västerås, J. Mashreghi, Université Laval, Quebec, QC, Canada Symmetry and Pattern in Sweden Derivatives of Inner Functions Invariant Random Fields on Projective Geometry Inner functions form an important subclass of Spaces with a Group Action bounded analytic functions. Since they have Symmetry and Pattern in Projective Geometry is a Foreword by: N. Leonenko, Cardiff University, Wales, unimodular boundary values, they appear in self-contained study of projective geometry which UK many extremal problems of complex analysis. compares and contrasts the analytic and axiomatic They have been extensively studied since early methods. The analytic approach is based on ho- last century, and the literature on this topic is mogeneous coordinates, and brief introductions to The author describes the current state of the art in vast. Therefore, this book is devoted to a concise Plücker coordinates and Grassmann coordinates the theory of invariant random fields. This theory study of derivatives of these objects, and confined are presented. This book looks carefully at linear, is based on several different areas of mathematics, to treating the integral means of derivatives and quadratic, cubic and quartic figures in two, three including Probability Theory, Differential Geom- presenting a comprehensive list of results on and higher dimensions. It deals at length with the etry, Harmonic Analysis, and Special Functions. Hardy and Bergman means. The goal is to provide extensions and consequences of basic theorems The present volume unifies many results scattered rapid access to the frontiers of research in this such as those of Pappus and Desargues. The em- throughout the mathematical, physical, and engi- field. This monograph will allow researchers to get phasis throughout is on special configurations that neering literature, as well as it introduces new re- acquainted with essentials on inner functions, and have particularly interesting symmetry properties. sults from this area first proved by the author. The it is self-contained, which makes it accessible to The intricate and novel ideas of ‘Donald’ Coxeter, book also presents many practical applications, graduate students. who is considered one of the great geometers of in particular in such highly interesting areas as the twentieth century, are also discussed through- approximation theory, cosmology and earthquake Features engineering. It is intended for researchers and out the text. 7 Includes a comprehensive list of results on specialists working in the fields of Stochastic Pro- integral means taken from several research Features cesses, Statistics, Functional Analysis, Astronomy, papers 7 Text is concise and self-contained, 7 Provides a self-contained and easy-to-read and Engineering. making it easily accessible to graduate stu- introduction to projective geometry 7 Com- dents 7 Provides rapid access to the frontiers of pares and contrasts both analytic and synthetic Features research in this field methods 7 Makes accessible subjects and 7 Highly interdisciplinary nature 7 Fills a gap theorems which are often considered quite com- in the literature 7 Many new results, and practi- Contents cal applications as for example in cosmology and plicated 7 Compares and contrasts both analytic Preface.-1. Inner Functions.-2. The Exceptional earthquake engineering and synthetic methods 7 Makes accessible Set of an Inner Function.-3. The Derivative of subjects and theorems which are often considered Contents Finite Blaschke Products.-4. Angular Deriva- quite complicated 7 Makes accessible subjects 1.Introduction.- 2.Spectral Expansions.- 3.L2 tive.-5. Hp-Means of S’.-6. Bp-Means of S’.-7. The and theorems which are often considered quite Theory of Invariant Random Fields.- 4.Sample Derivative of a Blaschke Product.-8. Hp-Means of complicated Path Properties of Gaussian Invariant Random B’.-9. Bp-Means of B’.-10. The Growth of Integral Means of B’.-References.-Index. Contents Fields.- 5.Applications.- A.Mathematical Back- Foundations: the Synthetic Approach.- The ground.- References.- Index. Fields of interest Analytic Approach.- Linear Figures.- Quadratic Fields of interest Functions of a Complex Variable; Functional Figures.- Cubic Figures.- Quartic Figures.- Finite Probability Theory and Stochastic Processes; Analysis; Several Complex Variables and Analytic Geometries. Mathematical Applications in the Physical Sci- Spaces Fields of interest ences; Cosmology Target groups Projective Geometry; Symbolic and Algebraic Target groups Research Manipulation; Mathematics, general Research Discount group Target groups Discount group Professional Non-Medical Upper undergraduate Professional Non-Medical Discount group Professional Non-Medical
Due December 2012 Due November 2012 Due September 2012 2013. XVIII, 246 p. (Probability and Its Applications) 2013. XI, 169 p. (Fields Institute Monographs, 2013. XII, 212 p. 103 illus., 20 in color. Softcover Hardcover Volume 31) Hardcover 7 $49.95 7 $109.00 7 $109.00 ISBN9
V. Moretti, Università di Trento, Italy I. Nourdin, Université de Lorraine, Nancy, France C. Pechstein Spectral Theory and Quantum Selected Aspects of Fractional Finite and Boundary Element Mechanics Brownian Motion Tearing and Interconnecting with an Introduction to the Algebraic Fractional Brownian motion (fBm) is a stochastic Solvers for Multiscale Problems Formulation of Quantum Theories process which deviates significantly from Brown- Tearing and interconnecting methods, such as ian motion and semimartingales, and others Features FETI, FETI-DP, BETI, etc., are among the most classically used in probability theory. As a cen- successful domain decomposition solvers for 7 Most chapters are accompanied by exercises, tered Gaussian process, it is characterized by the partial differential equations. The purpose of many of which solved explicitly 7 At any rate stationarity of its increments and a medium- or this book is to give a detailed and self-contained several examples of the physical formalism are long-memory property which is in sharp contrast presentation of these methods, including the presented 7 Many of these aspects have been with martingales and Markov processes. FBm has corresponding algorithms as well as a rigorous known for a long time but are scattered in the become a popular choice for applications where convergence theory. In particular, two issues specialistic literature classical processes cannot model these non-trivial are addressed that have not been covered in any properties; for instance long memory, which is Contents monograph yet: the coupling of finite and bound- also known as persistence, is of fundamental im- Introduction and mathematical backgrounds.- ary elements within the tearing and interconnect- portance for financial data and in internet traffic. Normed and Banach spaces, examples and appli- ing framework including exterior problems, and cations.- Hilbert spaces and bounded operators.- Features the case of highly varying (multiscale) coefficients Families of compact operators on Hilbert spaces 7 Except for very few exception, every result not resolved by the subdomain partitioning. In and fundamental properties.- Densely-defined un- stated in this book is proved in details: the book this context, the book offers a detailed view to an bounded operators on Hilbert spaces.- Phenom- is then perfectly tailored for self-learning 7 My active and up-to-date area of research. enology of quantum systems and Wave Mechanics: guiding thread was to develop only the most Features an overview.- The first 4 axioms of QM: proposi- aesthetic topics related to fractional Brownian 7 Detailed derivation of the methods and their tions, quantum states and observables.- Spectral motion: the book will appeal to readers who are analysis 7 Includes algorithms and implemen- Theory I: generalities, abstract C -algebras and not necessarily familiar with fractional Brownian tation issues 7 Special chapter on multiscale operators in B(H).- Spectral theory II: unbounded motion and who like beautiful mathematics 7 A problems at the cutting edge of research 7 Both operators on Hilbert spaces.- Spectral Theory III: special chapter on a recent link between fractional finite and boundary elements are covered, as well applications.- Mathematical formulation of non- Brownian motion and free probability introduces as exterior problems relativistic Quantum Mechanics.- Introduction to the reader to a new and promising line of research Quantum Symmetries.- Selected advanced topics Contents in Quantum Mechanics.- Introduction to the Contents Preliminaries.- One-level FETI/BETI Methods.- Algebraic Formulation of Quantum Theories.- Or- 1. Preliminaries.- 2. Fractional Brownian motion.- Multiscale Problems.- Unbounded Domains.- der relations and groups.- Elements of differential 3. Integration with respect to fractional Brownian Dual-Primal Methods.- References.- Index.- List geometry. motion.- 4. Supremum of the fractional Brownian of Symbols motion.- 5. Malliavin calculus in a nutshell.- 6. Fields of interest Central limit theorem on the Wiener space.- 7. Fields of interest Applications of Mathematics; Theoretical, Math- Weak convergence of partial sums of station- ematical and Computational Physics; Mathemati- Numerical Analysis; Computational Science and ary sequences.- 8. Non-commutative fractional Engineering cal Methods in Physics Brownian motion. Target groups Target groups Fields of interest Research Graduate Probability Theory and Stochastic Processes; Discount group Quantitative Finance Discount group Professional Non-Medical Professional Non-Medical Target groups Research
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Due November 2012 Due October 2012 Due November 2012 2013. XVI, 304 p. 51 illus., 1 in color. (Lecture Notes 2013. Approx. 600 p. 100 illus. (UNITEXT / La 2013. Approx. 140 p. (Bocconi & Springer Series) in Computational Science and Engineering, Matematica per il 3+2) Softcover Hardcover Volume 90) Hardcover 7 approx. $69.95 7 approx. $119.00 7 $129.00 9
L. Rüschendorf, University of Freiburg, Germany M. Senechal, Smith College, Northampton, MA, USA E. Spodarev, University of Ulm, Germany (Ed) Mathematical Risk Analysis (Ed) Stochastic Geometry, Spatial Shaping Space Dependence, Risk Bounds, Optimal Statistics and Random Fields Exploring Polyhedra in Nature, Art, and the Allocations and Portfolios Asymptotic Methods Geometrical Imagination The author’s particular interest in the area of risk This volume provides a modern introduction to Contents measures is to combine this theory with the analy- stochastic geometry, random fields and spatial sis of dependence properties. Preface.- I First Steps.-1 Introduction to the Poly- statistics at a (post)graduate level. It is focused hedron Kingdom. Marjorie Senechal- 2 Six Reci- on asymptotic methods in geometric probability Features pes for Making Polyhedra. Marion Walter; Jean 7 Up-to-date treatment of the main concepts including weak and strong limit theorems for Pedersen; MagnusWenninger; Doris Schattsch- random spatial structures (point processes, sets, and techniques used in mathematical risk neider; Arthur Loeb; and Eric Demaine, Martin analysis 7 Clearly structured guide 7 Gives graphs, fields) with applications to statistics. Demaine and Vi Hart.- 3 Regular and Semiregular Written as a contributed volume of lecture notes, orientation and help to acquire a solid fundament Polyhedra. H. S. M. Coxeter.- 4 Milestones in the for working in this area it will be useful not only for students but also for History of Polyhedra. Joseph Malkevitch.- 5 Poly- lecturers and researchers interested in geometric hedra: Surfaces or Solids? Arthur Loeb.- 6 Dürer’s Contents probability and related subjects. Problem. Joseph O’Rourke.- II Polyhedra in Na- Preface.-Part I: Stochastic Dependence and ture and Art.- 7 Exploring the Polyhedron King- Features Extremal Risk.-1 Copulas, Sklar’s Theorem, and dom. Marjorie Senechal.- 8 Spatial Perception and Distributional Transform.- 2 Fréchet Classes, Risk 7 Comprises introductory material as well as Creativity. Janos Baracs.- 9 Goldberg Polyhedra. Bounds, and Duality Theory.- 3 Convex Order, advances topics with a significant number of George Hart.- 10 Polyhedra and Crystal Struc- Excess of Loss, and Comonotonicity.- 4 Bounds proofs 7 Numerous images ease the understand- tures. Chung Chieh.- 11 Polyhedral Molecular Ge- for the Distribution Function and Value at Risk of ing of complex mathematical notions 7 Includes ometries. Magdolna Hargittai and Istvan Hargit- the Joint Portfolio.- 5 Restrictions on the Depen- a large number of excercises for active reading tai.- 12 Form, Function, and Functioning. George dence Structure.- 6 Dependence Orderings of Risk Provides vast research bibliography Fleck.- III Polyhedra in the Geometrical Imagina- Vectors and Portfolios.- Part II: Risk Measures and tion.- 13 The Polyhedron Kingdom Tomorrow. Contents Worst Case Portfolios.- 7 Risk Measures for Real Marjorie Senechal.- 14 Paneled and Molecular 1 Foundations of stochastic geometry and theory Risks.- 8 Risk Measures for Portfolio Vectors.- 9 Polyhedra: How Stable Are They? Ileana Streinu.- of random sets.- 2 Introduction into integral Law Invariant Convex Risk Measures on L_d^p 15 Duality of Polyhedra. Banko Grünbaum and G. geometry and stereology.- 3 Spatial point patterns and Optimal Mass Transportation.- Part III: C. Shephard.- 16 Combinatorial Prototiles. Egon – models and statistics.- 4 Asymptotic methods in Optimal Risk Allocation.- 10 Optimal Allocations Schulte.- 17 Polyhedra Analogues of the Platonic statistics of random point processes.- 5 Random and Pareto Equilibrium.- 11 Characterization and Solids. Jörg M. Wills.- 18 Convex Polyhedra, tessellations and Cox processes.- 6 Asymptotic Examples of Optimal Risk Allocations for Convex Dirichlet Tessellations, and Spider Webs. Walter methods for random tessellations.- 7 Random Risk Functionals.- 12 Optimal Contingent Claims Whiteley with Peter Ash, Ethan Bolker, and Henry polytopes.- 8 Limit theorems in discrete stochastic and (Re)Insurance Contracts.- Part IV: Optimal Crapo.- 19 Uniform Polyhedra from Diophantine geometry.- 9 Introduction to random fields.- 10 Portfolios and Extreme Risks.- 13 Optimal Portfo- Equations. Barry Monson.- 20 Torus Decomposi- Central limit theorems for weakly dependent lio Diversification w.r.t. Extreme Risks.- 14 Order- tions of Regular Polytopes in 4-space. Thomas F. random fields.- 11 Strong limit theorems for incre- ing of Multivariate Risk Models with Respect to Banchoff.- 21 Tensegrities and Global Rigidity. ments of random fields.- 12 Geometry of large Extreme Portfolio Losses.- References.- List of Robert Connelly.- 22 Ten Problems in Geometry. random trees: SPDE approximation. Symbols.- Index. Günter Ziegler and Moritz Schmitt. [...] Fields of interest Fields of interest Fields of interest Convex and Discrete Geometry; Probability Probability Theory and Stochastic Processes; Geometry; Crystallography; Design, general Theory and Stochastic Processes; Statistical Theory Quantitative Finance; Actuarial Sciences and Methods Target groups Target groups Popular/general Target groups Professional/practitioner Research Discount group Discount group Trade Discount group Professional Non-Medical Professional Non-Medical
Due December 2012 Due December 2012 2013. XVIII, 446 p. 12 illus., 1 in color. (Springer Series Due December 2012 in Operations Research and Financial Engineering) 2013. XXIV, 430 p. 118 illus., 28 in color. (Lecture Hardcover 2013. XIV, 480 p. 400 illus., 31 in color. Hardcover Notes in Mathematics, Volume 2068) Softcover 7 $129.00 7 approx. $39.95 7 $89.95 9
S. M. Srivastava, Indian Statistical Institute, Kolkata, K. Vajravelu, R. A. Van Gorder, University of Central X. Wang, South China Normal University, India Florida, Orlando, FL 32816-1364, USA Guangzhou, China; D. Pei, Guangzhou University, A Course on Mathematical Logic Nonlinear Flow Phenomena China Modular Forms with Integral This is a short, modern, and motivated introduc- and Homotopy Analysis tion to mathematical logic for upper undergradu- Fluid Flow and Heat Transfer and Half-Integral Weights ate and beginning graduate students in mathemat- “Modular Forms with Integral and Half-Integral ics and computer science. Any mathematician Since most of the problems arising in science Weights” focuses on the fundamental theory of who is interested in getting acquainted with logic and engineering are nonlinear, they are inher- modular forms of one variable with integral and and would like to learn Gödel’s incompleteness ently difficult to solve. Traditional analytical ap- half-integral weights. The main theme of the book theorems should find this book particularly useful. proximations are valid only for weakly nonlinear is the theory of Eisenstein series. The treatment is thoroughly mathematical and problems, and often fail when used for prob- prepares students to branch out in several areas of lems with strong nonlinearity. “Nonlinear Flow Features mathematics related to foundations and comput- Phenomena and Homotopy Analysis: Fluid Flow 7 The first book available on modular forms ability, such as logic, axiomatic set theory, model and Heat Transfer” presents the current theo- dealing with integral and half-integral weights in theory, recursion theory, and computability. In retical developments of the analytical method of a unified framework 7 The first book dealing this new edition, many small and large changes homotopy analysis. This book not only addresses with in detail Eisenstein series with half-integral have been made throughout the text. the theoretical framework for the method, but also weights 7 Includes all necessary basic material gives a number of examples of nonlinear problems Features for reading modern research literature on modular that have been solved by means of the homotopy forms with half-integral weights 7 Offers some 7 New edition extensively revised and up- analysis method. very beautiful applications of modular forms of dated 7 Includes a new chapter on model half-integral weights to some arithmetic problems theory, and several new sections on topics such Features of definite positive quadratic forms as ultraproducts, quantifier eliminations, real 7 A powerful analytical method for strongly non- closed and algebraically closed fields, definability, linear differential equations 7 Latest develop- Contents partial elementary maps, and homogenous struc- ments in theory and applications 7 Varieties of Theta Functions and Their Transformation For- tures 7 Contains numerous exercises, examples, very recent and interesting applications in science mulae.- Eisenstein Series.- The Modular Group and applications such as Chevalley's theorem, Hil- and engineering and Its Subgroups.- Modular Forms with Integral bert's Nullstellensatz, and the solution to Hilbert's Weight or Half-integral Weight.- Operators on the Contents 17th problem 7 Employs Gödel’s completeness Space of Modular Forms.- New Forms and Old Part I: Theoretical Considerations.- Principles of and incompleteness theorems to motivate the Forms.-Construction of Eisenstein Series.- Weil the Homotopy Analysis Method.- Methods for the entire text Representation and Shimura Lifting.- Trace For- Control of Convergence in Obtained Solutions.- mula.- Integers Represented by Positive Definite Contents Additional Techniques. Part II: Applications to Quadratic Forms. Preface.- 1 Syntax of First-Order Logic.- 2 Seman- Physical Problems.- Application of the Homotopy tics of First-Order Languages.- 3 Propositional Analysis Method to Fluid Flow Problems.- Appli- Fields of interest Logic.- 4 Completeness Theorem for First-Order cation of the Homotopy Analysis Method to Heat Number Theory; Algebraic Geometry; Functions Logic.- 5 Model Theory.- 6 Recursive Functions Transfer Problems.- Application of the Homotopy of a Complex Variable and Arithmetization of Theories.- 7 Incomplete- Analysis Method to More Advanced Problems. ness Theorems and Recursion Theory.- Refer- Target groups ences.- Index. Fields of interest Research Computational Mathematics and Numerical Fields of interest Analysis; Engineering Fluid Dynamics; Theoreti- Discount group Mathematical Logic and Foundations; Mathemati- cal, Mathematical and Computational Physics Professional Non-Medical cal Logic and Formal Languages; Algebra Target groups Target groups Research Graduate Discount group Discount group Professional Non-Medical Professional Non-Medical
Due October 2012
Jointly published with Higher Education Press Available
Due January 2013 Distribution rights in China: Higher Education Press Distribution rights in China: Science Press Ltd
2nd ed. 2013. XII, 206 p. (Universitext) Softcover 2013. Approx. 250 p. 40 illus. Hardcover 2013. Approx. 400 p. 3 illus. Hardcover 7 $69.95 7 approx. $109.00 7 $129.00 9