Functional analysis and transforms Books
Springer Recent Progress in Inequalities 430 Mathematics and Its Applications
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Springer Quantum Logic in Algebraic Approach 91 Fundamental Theories of Physics
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£151.99
Springer Basic Topological Structures of Ordinary Differential Equations 432 Mathematics and Its Applications
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£85.49
Springer Logarithms and Antilogarithms An Algebraic Analysis Approach 437 Mathematics and Its Applications
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£89.99
Springer Existence Theory for Nonlinear Integral and Integrodifferential Equations
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£44.99
Springer Algebra and Operator Theory Proceedings of the Colloquium in Tashkent 1997
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Springer Optimal Filtering Volume I Filtering of Stochastic Processes Mathematics and Its Applications
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£85.49
Springer Global Analysis in Linear Differential Equations 471 Mathematics and Its Applications
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Springer Functional Differential Operators and Equations Mathematics and Its Applications
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£189.99
Springer Singular Quadratic Forms in Perturbation Theory Mathematics and Its Applications 474
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Springer Functional Differential Equations Application of ismooth calculus 479 Mathematics and Its Applications
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Springer Optimal Filtering Volume II SpatioTemporal Fields 481 Mathematics and Its Applications
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Springer Boolean Valued Analysis
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£105.30
Springer Boundary Value Problems in the Spaces of Distributions 498 Mathematics and Its Applications
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£44.99
Springer Hyperspherical Harmonics and Generalized Sturmians 4 Progress in Theoretical Chemistry and Physics
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Springer Regularization of IllPosed Problems by Iteration Methods 499 Mathematics and Its Applications
Book Synopsis1 Regularizing Algorithms for Linear Ill-Posed Problems: Unified Approach.- 2 Iteration Steepest Descent Methods for Linear Operator Equations.- 3 Iteration Conjugate Direction Methods for Linear Operator Equations.- 4 Iteration Steepest Descent Methods for Nonlinear Operator Equations.- 5 Iteration Methods for Ill-Posed Constrained Minimization Problems.- 6 Descriptive Regularization Algorithms on the Basis of the Conjugate Gradient Projection Method.Trade Review`The book will be useful for specialists who in their theoretical and applied investigations deal with ill-posed and inverse problems.' Mathematical Reviews Clippings (2001)Table of ContentsPreface. Introduction. 1. Regularizing Algorithms for Linear Ill-Posed Problems: Unified Approach. 2. Iteration Steepest Descent Methods for Linear Operator Equations. 3. Iteration Conjugate Direction Methods For Linear Operator Equations. 4. Iteration Steepest Descent Methods for Nonlinear Operator Equations. 5. Iteration Methods for Ill-Posed Constrained Minimization Problems. 6. Descriptive Regularization Algorithms on the Basis of the Conjugate Gradient Projection Method. Bibliography. Index.
£44.99
Springer Integration on InfiniteDimensional Surfaces and Its Applications 496 Mathematics and Its Applications
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Springer Handbook of Multivalued Analysis Volume II Applications Mathematics and Its Applications
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Springer Introduction to Infinite Dimensional Stochastic Analysis 502 Mathematics and Its Applications
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Springer Mathematical Physics of Quantum Wires and Devices From Spectral Resonances to Anderson Localization 506 Mathematics and Its Applications
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Springer Congruences for LFunctions
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Springer Geometric Aspects of Probability Theory and Mathematical Statistics 514 Mathematics and Its Applications
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Springer Survey on Classical Inequalities 517 Mathematics and Its Applications
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Springer Functional Equations and Inequalities 518 Mathematics and Its Applications
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Springer Dominated Operators 519 Mathematics and Its Applications
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Springer Wave Factorization of Elliptic Symbols Theory and Applications
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Springer Solvability Theory of Boundary Value Problems and Singular Integral Equations with Shift 523 Mathematics and Its Applications
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Springer Differential Inclusions in a Banach Space 524 Mathematics and Its Applications
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Springer Infinite Interval Problems for Differential Difference and Integral Equations
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Springer Handbook of Metric Fixed Point Theory
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Springer Semigroups in Geometrical Function Theory
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Springer Special Functions 2000 Current Perspective and Future Directions
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Springer Asymptotics of Linear Differential Equations 533 Mathematics and Its Applications
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Birkhäuser Basic Operator Theory
Book Synopsisrii application of linear operators on a Hilbert space. We begin with a chapter on the geometry of Hilbert space and then proceed to the spectral theory of compact self adjoint operators;Table of ContentsIntroduction * I. Hilbert Spaces * II. Bounded Linear Operators on Hilbert Spaces * III. Spectral Theory of Compact Self Adjoint Operators * IV. Spectral Theory of Integral Operators * V. Oscillations of an Elastic String * VI. Operational Calculus with Applications * VII. Solving Linear Equations by Iterative Methods * VIII. Further Developments of the Spectral Theorem * IX. Banach Spaces * X. Linear Operators on a Banach Space * XI. Compact Operators on a Banach Space * XII. Non-Linear Operators * Appendix 1. Countable Sets and Separable Hilbert Spaces * Appendix 2. Lebesgue Integration and LP Spaces * Appendix 3. Proof of the Hahn-Banach Theorem * Appendix 4. Proof of the Closed Graph Theorem * Suggested Reading * References * Index
£68.88
Birkhauser Boston Distributions Theory and Applications Cornerstones
Book SynopsisThe treatment emphasizes applications that relate distributions to linear partial differential equations and Fourier analysis problems found in mechanics, optics, quantum mechanics, quantum field theory, and signal analysis.Trade ReviewFrom the reviews:“This is a fantastic book…Even in this enlightened age, the theory of distributions is a highly misunderstood and undervalued business…All of this notwithstanding, learning it from the extant standard sources has always been a rather an austere affair…Distributions: Theory and Applications is laden with examples and exercises…[The book] comes equipped with a long section containing solutions to selected exercises. Distributions: Theory and Applications is much more than a textbook for a one-semester introduction to the indicated subject: the reader/student who hangs in, reads the text while filling the margins and a notebook or two (or three, or four) along the way, and wrestles with the exercises, will be more than ready for more advanced works in the area as well as the business of applying distributions in a number of nontrivial settings. Additionally he will have been exposed to a great deal of serious mathematics from, if you’ll pardon the pun, all over the spectrum.”BLL — The Basic Library List Committee suggests that undergraduate mathematics libraries consider this book for acquisition. —MAA Reviews“[Distributions: Theory and Applications] is a very useful, well-written, self contained, motivating book presenting the essentials of the theory of distributions of Schwartz, together with many applications to different areas of mathematics, like linear partial differential equations, Fourier analysis, quantum mechanics and signal analysis…One of the main features of this book is that many clarifying examples, presented with full detail, are included in the text. Moreover, a large number of problems is included at the end of each chapter…This reviewer found the book under review very stimulating, informative and inviting to further study. It is a very useful text for students who want to learn the theory of distributions, for experts in the abstract theory who want to read an application-oriented presentation with many examples and, last but not least, for mathematicians in related areas or theoretical physicists who need a self-contained, reasonable short presentation of the theory. I would strongly recommend it to all my colleagues.” —Zentralblatt MATH “The aim of this book is to present the theory of distributions of Laurent Schwartz in a rigorous, accessible way, together with applications to linear partial differential equations, Fourier analysis, quantum mechanics and signal analysis. The text of Duistermaat and Kolk emphasizes applications to natural sciences like optics, quantum field theory, signal reconstruction or computer tomography. The exposition stresses applications and interactions with other parts of mathematics...It is a useful text for students who want to learn the theory of distributions, for experts in the abstract theory who want to read an application-oriented presentation with many examples, and also for mathematicians in related areas or theoretical physicists who need a self-contained presentation of the theory. The book includes many clarifying examples, presented in full detail. Many exercises and problems, with different levels of difficulty, are included at the end of each chapter. A reader who tries to solve them will re-examine many aspects of analysis of several variables in the light of the theory of distributions. Complete solutions of 146 of the 281 problems are provided and hints are given for many others.In summary, this is a useful, well-written, self-contained book about the theory of distributions of Schwartz and applications to different areas of mathematics and physics. Although there are many good books that present an introduction to the theory of distributions of Schwartz, assuming different levels of knowledge of linear functional analysis, the text of Duistermaat and Kolk is a very welcome addition. In the opinion of this reviewer, this is a stimulating, informative book that invites further study, and I strongly recommend it to any readers interested in this topic.” —Mathematical Reviews “This is a wonderful graduate level book providing a modern introduction to distribution theory with several entrance points for deeper tours into advanced analysis and applications. The lucid discussions of the development of certain key notions and the fine careful proofs define it as a valuable text book for a corresponding university course. … even in independent self-study the reader has a fair chance to obtain a reasonable amount of working knowledge … .” (G. Hörmann, Monatshefte für Mathematik, Vol. 163 (1), May, 2011)“The authors have set out to produce a text on distribution theory accessible to undergraduate (or beginning graduate) students at the point in their studies where it could serve as an alternative to a beginning course in measure theory. … The authors discuss many fascinating results in distribution theory, with an emphasis on the use of the subject in linear PDEs … . The book succeeds both as a basic and as a rich account of results in distribution theory.” (Michael Taylor, SIAM Review, Vol. 54 (3), 2012)Table of ContentsPreface.- Standard Notation.- 1 Motivation .- Problems.- 2 Test Functions.- Problems.- 3 Distributions.- Problems.- 4 Differentiation of Distributions.- Problems.- 5 Convergence of Distributions.- Problems.- 6 Taylor Expansion in Several Variables.- Problems.- 7 Localization.- Problems.- 8 Distributions with Compact Support.- Problems.- 9 Multiplication by Functions.- Problems.- 10 Transposition: Pullback and Pushforward.- Problems.- 11 Convolution of Distributions.- Problems.- 12 Fundamental Solutions.- Problems.- 13 Fractional Integration and Differentiation .- 13.1 The Case of Dimension One.- 13.2 Wave Family.- 13.3 Appendix: Euler’s Gamma Function.- Problems.- 14 Fourier Transform.- Problems.- 15 Distribution Kernels.- Problems.- 16 Fourier Series.- Problems.- 17 Fundamental Solutions and Fourier Transform.- 17.1 Appendix: Fundamental Solution of .I?/k.- Problems.- 18 Supports and Fourier Transform.- Problems.- 19 Sobolev Spaces.- Problems.- 20 Appendix: Integration.- 21 Solutions to Selected Problems.- References.- Index of Notation.- Index.
£89.99
Atlantic Financial Press Twenty Lectures About Gaussian Processes
£47.12
The Mathematical Association of America The G. H. Hardy Reader
Book SynopsisG. H. Hardy ranks among the great mathematicians of the twentieth century, doing essential research in number theory and analysis. This book is a feast of Hardy's writing, featuring articles ranging from the serious to the humorous. The G. H. Hardy Reader is a worthy introduction to an extraordinary individual.Trade Review'The editors are to be congratulated on putting together this beautiful 'reader' with material from so many different sources, which illustrates so well the life, character and work of one of the great mathematicians of the twentieth century, Godfrey Harold Hardy (1877-1947). Even if you are familiar with Hardy's masterpiece A Mathematician's Apology or his book on Ramanujan, Ramanujan: Twelve Lectures on Subjects Suggested by His Life and Work you will find a wealth of new and fascinating material in this 'reader' about Hardy.' Kenneth S. Williams, Canadian Mathematical Society NotesTable of ContentsPart I. Biography: 1. Hardy's life; 2. The letter from Ramanujan to Hardy, 16 January 1913; 3. A letter from Bertrand Russell to Lady Ottoline Morrell, 2 February 1913; 4. The Indian mathematician Ramanujan; 5. Epilogue from the man who knew infinity; 6. Posters of 'Hardy's years at Oxford'; 7. A glimpse of J. E. Littlewood; 8. A letter from Freeman Dyson to C. P. Snow, 22 May 1967, and two letters from Hardy to Dyson; 9. Miss Gertrude Hardy; Part II. Writings by and about G. H. Hardy: 10. Hardy on writing books; 11. Selections from Hardy's writings; 12. Selections from what others have said about Hardy; Part III. Mathematics: 13. An introduction to the theory of numbers; 14. Prime numbers; 15. The theory of numbers; 16. The Riemann zeta-function and lattice point problems; 17. Four Hardy gems; 18. What is geometry?; 19. The case against the mathematical tripos; 20. The mathematician on cricket; 21. Cricket for the rest of us; 22. A mathematical theorem about golf; 23. Mathematics in war-time; 24. Mathematics; 25. Asymptotic formulæ in combinatory analysis (excerpts) with S. Ramanujan; 26. A new solution of Waring's problem (excerpts), with J. E. Littlewood; 27. Some notes on certain theorems in higher trigonometry; 28. The Integral _∞0sin xx dx and further remarks on the integral _∞0sin xx dx; Part IV. Tributes: 29. Dr. Glaisher and the 'messenger of mathematics'; 30. David Hilbert; 31. Edmund Landau (with H. Heilbronn); 32. Gösta Mittag-Leffler; Part V. Book Reviews: 33. Osgood's calculus and Johnson's calculus; 34. Hadamard: the psychology of invention in the mathematical field; 35. Hulburt: differential and integral calculus; 36. Bôcher: an introduction to the study of integral equations.
£84.99
Springer Young Measures on Topological Spaces With Applications in Control Theory and Probability Theory Mathematics and Its Applications 571
Book SynopsisAims to provides applications to Visintin and Reshetnyak type theorems (Chapters 6 and 8), existence of solutions to differential inclusions (Chapter 7), dynamical programming (Chapter 8) and the Central Limit Theorem in locally convex spaces (Chapter 9).Trade ReviewFrom the reviews: "This book presents a wealth of results on Young measures on topological spaces in a very general framework. It is very likely that it will become the reference and starting point for any further developments in the field." (Georg K. Dolzmann, Mathematical Reviews, 2005k)Table of ContentsPreface. Generalities, Preliminary results. Young Measures, the four Stable Topologies: S, M, N, W. Convergence in Probability of Young Measures (with some applications to stable convergence). Compactness. Strong Tightness. Young Measures on Banach Spaces. Application. Applications in Control Theory. Semicontinuity of Integral Functionals using Young Measures. Stable Convergence in Limit Theorems of Probability Theory.
£44.99
Springer New York Concrete Functional Calculus Springer Monographs in Mathematics
Book SynopsisConcrete Functional Calculus focuses primarily on differentiability of some nonlinear operators on functions or pairs of functions.Trade ReviewFrom the reviews:“This monograph is a thorough and masterful work on non-linear analysis designed to be read and studied by graduate students and professional mathematical researchers. The overall perspective and choice of material is highly novel and original. … It is a unique account of some key areas of modern analysis which will surely turn out to be invaluable for many researchers in this and related areas.” (David Applebaum, The Mathematical Gazette, Vol. 98 (541), March, 2014)“The present monograph is quite extensive and interesting. It is divided into twelve chapters on different topics on Functional calculus and an appendix on non-atomic measure spaces. … The book has many historical comments and remarks which clarify the developments of the theory. It has also an extensive bibliography with 258 references. … will be very useful for all interested readers in Real-Functional Analysis and Probability.” (Francisco L. Hernandez, The European Mathematical Society, January, 2012)“The monograph under review aims at analyzing properties such as Hölder continuity, differentiability and analyticity of various types of nonlinear operators which arises in the study of differential and integral equations and in applications to problems of statistics and probability. … this is an interesting book which contains a lot of material.” (Massimo Lanza de Cristoforis, Mathematical Reviews, Issue 2012 e)Table of ContentsPreface.- 1 Introduction and Overview.- 2 Definitions and Basic Properties of Extended Riemann-Stieltjes integrals.- 3 Phi-variation and p-variation; Inequalities for Integrals.- 4 Banach Algebras.- 5 Derivatives and Analyticity in Normed Spaces.- 6 Nemytskii Operators on Function Spaces.- 7 Nemytskii Oerators on Lp Spaces.- 8 Two-Function Composition.- 9 Product Integration.- 10 Nonlinear Differential and Integral Equations.- 11 Fourier Series.- 12 Stochastic Processes and Phi-Variation.- Appendix Nonatomic Measure Spaces.- References.- Subject Index.- Author Index.- Index of Notation.
£123.49
Springer Analysis on Fock Spaces
Book SynopsisPreface.- Chapter 1. Preliminaries.- Chapter 2. Fock Spaces.- Chapter 3. The Berezin Transform and BMO.- Chapter 4. Interpolating and Sampling Sequences.- Chapter 5. Zero Sets for Fock Spaces.- Chapter 6. Toeplitz Operators.- Chapter 7. Small Hankel Operators.- Chapter 8. Hankel Operators.- References.- Index.Trade ReviewFrom the reviews:“Excellent books exist in the literature on the theory of Hardy spaces … but no textbook concerning the theory of Fock spaces has appeared before. The purpose of the author is to fill this gap and provide to any researcher in the field or graduate students the appropriate place to find the results or the bibliographical references needed for their use. … author succeeds with his goal. … a great addition to the literature and in the future will become a classic in the field.” (Jordi Pau, Mathematical Reviews, January, 2013)“This book is intended to provide a convenient reference to Fock spaces. … Each chapter ends with a series of exercises. The material is presented in a pedagogical way. The reference list contains 259 relevant items. This book is well written and it is a good reference for graduate students who are interested in Fock spaces.” (Atsushi Yamamori, Zentralblatt MATH, Vol. 1262, 2013)Table of ContentsPreface.- Chapter 1. Preliminaries.- Chapter 2. Fock Spaces.- Chapter 3. The Berezin Transform and BMO.- Chapter 4. Interpolating and Sampling Sequences.- Chapter 5. Zero Sets for Fock Spaces.- Chapter 6. Toeplitz Operators.- Chapter 7. Small Hankel Operators.- Chapter 8. Hankel Operators.- References.- Index.
£71.99
Birkhauser Boston The Theory of Jacobi Forms 55 Progress in Mathematics
£116.99
Benediction Classics Finite-Dimensional Vector Spaces
£12.63
Springer Nature Switzerland AG Geometric Singular Perturbation Theory Beyond the Standard Form
Book SynopsisThis volume provides a comprehensive review of multiple-scale dynamical systems. Mathematical models of such multiple-scale systems are considered singular perturbation problems, and this volume focuses on the geometric approach known as Geometric Singular Perturbation Theory (GSPT). It is the first of its kind that introduces the GSPT in a coordinate-independent manner. This is motivated by specific examples of biochemical reaction networks, electronic circuit and mechanic oscillator models and advection-reaction-diffusion models, all with an inherent non-uniform scale splitting, which identifies these examples as singular perturbation problems beyond the standard form. The contents cover a general framework for this GSPT beyond the standard form including canard theory, concrete applications, and instructive qualitative models. It contains many illustrations and key pointers to the existing literature. The target audience are senior undergraduates, graduate students and researchers interested in using the GSPT toolbox in nonlinear science, either from a theoretical or an application point of view. Martin Wechselberger is Professor at the School of Mathematics & Statistics, University of Sydney, Australia. He received the J.D. Crawford Prize in 2017 by the Society for Industrial and Applied Mathematics (SIAM) for achievements in the field of dynamical systems with multiple time-scales.Table of ContentsIntroduction.- Motivating examples.- A coordinate-independent setup for GSPT.- Loss of normal hyperbolicity.- Relaxation oscillations in the general setting.- Pseudo singularities & canards.- What we did not discuss.
£54.99
Springer Nature Switzerland AG Tools and Problems in Partial Differential Equations
Book SynopsisThis textbook offers a unique learning-by-doing introduction to the modern theory of partial differential equations.Through 65 fully solved problems, the book offers readers a fast but in-depth introduction to the field, covering advanced topics in microlocal analysis, including pseudo- and para-differential calculus, and the key classical equations, such as the Laplace, Schrödinger or Navier-Stokes equations. Essentially self-contained, the book begins with problems on the necessary tools from functional analysis, distributions, and the theory of functional spaces, and in each chapter the problems are preceded by a summary of the relevant results of the theory.Informed by the authors' extensive research experience and years of teaching, this book is for graduate students and researchers who wish to gain real working knowledge of the subject. Trade Review“Instructors teaching courses that include one or all of the above-mentioned topics will find the exercises of great help in course preparation. Researchers in partial differential equations may find this work useful as a summary of analytic theories published in this volume.” (Vicenţiu D. Rădulescu, zbMATH 1461.35001, 2021)Table of ContentsPart I Tools and Problems.- 1 Elements of functional analysis and distributions.- 2 Statements of the problems of Chapter 1.- 3 Functional spaces.- 4 Statements of the problems of Chapter 3.- 5 Microlocal analysis.- 6 Statements of the problems of Chapter 5.- 7 The classical equations.- 8 Statements of the problems of Chapter 7.- Part II Solutions of the Problems. A Classical results. Index.
£41.24
Springer Nature Switzerland AG Complex Semisimple Quantum Groups and
Book SynopsisThis book provides a thorough introduction to the theory of complex semisimple quantum groups, that is, Drinfeld doubles of q-deformations of compact semisimple Lie groups. The presentation is comprehensive, beginning with background information on Hopf algebras, and ending with the classification of admissible representations of the q-deformation of a complex semisimple Lie group. The main components are: - a thorough introduction to quantized universal enveloping algebras over general base fields and generic deformation parameters, including finite dimensional representation theory, the Poincaré-Birkhoff-Witt Theorem, the locally finite part, and the Harish-Chandra homomorphism, - the analytic theory of quantized complex semisimple Lie groups in terms of quantized algebras of functions and their duals, - algebraic representation theory in terms of category O, and - analytic representation theory of quantized complex semisimple groups. Given its scope, the book will be a valuable resource for both graduate students and researchers in the area of quantum groups.Trade Review“The book is largely self-contained. … It is highly recommended for mathematicians of all levels wishing to learn about these topics, in the algebraic setting and/or in the analytic setting.” (Huafeng Zhang, zbMATH 1514.20006, 2023)Table of Contents- Introduction. - Multiplier Hopf Algebras. - Quantized Universal Enveloping Algebras. - Complex Semisimple Quantum Groups. - Category O. - Representation Theory of Complex Semisimple Quantum Groups.
£49.99
Springer Nature Switzerland AG The Weierstrass Elliptic Function and Applications in Classical and Quantum Mechanics: A Primer for Advanced Undergraduates
Book SynopsisThe field of elliptic functions, apart from its own mathematical beauty, has many applications in physics in a variety of topics, such as string theory or integrable systems. This book, which focuses on the Weierstrass theory of elliptic functions, aims at senior undergraduate and junior graduate students in physics or applied mathematics. Supplemented by problems and solutions, it provides a fast, but thorough introduction to the mathematical theory and presents some important applications in classical and quantum mechanics. Elementary applications, such as the simple pendulum, help the readers develop physical intuition on the behavior of the Weierstrass elliptic and related functions, whereas more Interesting and advanced examples, like the n=1 Lamé problem-a periodic potential with an exactly solvable band structure, are also presented.Table of ContentsWeierstrass Elliptic Function.- Weierstrass Quasi-periodic Functions.- Real Solutions of Weierstrass Equation.- Applications in Classical Mechanics.- Applications in Quantum Mechanics.- Epilogue and Projects for the Advanced Reader.
£54.99
Springer Nature Switzerland AG Mathematical Concepts of Quantum Mechanics
Book SynopsisThe book gives a streamlined introduction to quantum mechanics while describing the basic mathematical structures underpinning this discipline.Starting with an overview of key physical experiments illustrating the origin of the physical foundations, the book proceeds with a description of the basic notions of quantum mechanics and their mathematical content.It then makes its way to topics of current interest, specifically those in which mathematics plays an important role. The more advanced topics presented include: many-body systems, modern perturbation theory, path integrals, the theory of resonances, adiabatic theory, geometrical phases, Aharonov-Bohm effect, density functional theory, open systems, the theory of radiation (non-relativistic quantum electrodynamics), and the renormalization group. With different selections of chapters, the book can serve as a text for an introductory, intermediate, or advanced course in quantum mechanics. Some of the sections could be used for introductions to geometrical methods in Quantum Mechanics, to quantum information theory and to quantum electrodynamics and quantum field theory.Table of Contents1 Physical Background.- 2 Dynamics.- 3 Observables.- 4 Quantization.- 5 Uncertainty Principle and Stability of Atoms and Molecules.- 6 Spectrum and Dynamics.- 7 Special Cases.- 8 Bound States and Variational Principle.- 9 Scattering States.- Existence of Atoms and Molecules.- 11 Perturbation Theory: Feshbach-Schur Method.- 12 Born-Oppenheimer Approximation and Adiabatic Dynamics.- 13 General Theory of Many-particle Systems.- 14 Self-consistent Approximations.- 15 The Feynman Path Integral.- 16 Semi-classical Analysis.- 17 Resonances.- 18 Quantum Statistics.- 19 Open Quantum Systems.- 20 The Second Quantization.- 21 Quantum Electro-Magnetic Field – Photons.- 22 Standard Model of Non-relativistic Matter and Radiation.- 23 Theory of Radiation.- 24 Renormalization Group.- 25 Mathematical Supplement: Spectral Analysis.- 26 Mathematical Supplement: The Calculus of Variations.- 27 Comments on Literature, and Further Reading.- References.- Index.
£41.24
Springer Nature Switzerland AG Point Process Calculus in Time and Space: An
Book SynopsisThis book provides an introduction to the theory and applications of point processes, both in time and in space. Presenting the two components of point process calculus, the martingale calculus and the Palm calculus, it aims to develop the computational skills needed for the study of stochastic models involving point processes, providing enough of the general theory for the reader to reach a technical level sufficient for most applications. Classical and not-so-classical models are examined in detail, including Poisson–Cox, renewal, cluster and branching (Kerstan–Hawkes) point processes.The applications covered in this text (queueing, information theory, stochastic geometry and signal analysis) have been chosen not only for their intrinsic interest but also because they illustrate the theory. Written in a rigorous but not overly abstract style, the book will be accessible to earnest beginners with a basic training in probability but will also interest upper graduate students and experienced researchers.Table of ContentsIntroduction.- Generalities.- Poisson Process on the Line.- Spatial Poisson Processes.- Renewal and Regenerative Processes.- Point Processes with a Stochastic Intensity.- Exvisible Intensity of Finite Point Processes.- Palm Probability on the Line.- Palm Probability in Space.- The Power Spectral Measure.- Information Content of Point Processes.- Point Processes in Queueing.- Hawkes Point Processes.- Appendices.- Bibliography.- Index.
£104.49
