Analytic Combinatorics in Several Variables by Robin Pemantle
Discrete structures model a vast array of objects ranging from DNA sequences to internet networks. The theory of generating functions provides an algebraic framework for discrete structures to be enumerated using mathematical tools. This book is the result of 25 years of work developing analytic machinery to recover asymptotics of multivariate sequences from their generating functions, using multivariate methods that rely on a combination of analytic, algebraic, and topological tools. The resulting theory of analytic combinatorics in several variables is put to use in diverse applications from mathematics, combinatorics, computer science, and the natural sciences. This new edition is even more accessible to graduate students, with many more exercises, computational examples with Sage worksheets to illustrate the main results, updated background material, additional illustrations, and a new chapter providing a conceptual overview.-
A Primer of Nonlinear Analysis
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Complex Topological K-Theory
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Mathematical Aspects of Quantum Field Theory
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Enumerative Combinatorics: Volume 1
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Introduction to Homotopy Type Theory
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Hodge Theory and Complex Algebraic Geometry I: Volume 1
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Random Graphs
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Enumerative Combinatorics: Volume 2
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Algebraic Number Theory
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Spectral Theory and Differential Operators
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An Introduction to the Theory of the Riemann Zeta-Function
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Hardy Spaces
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Gaussian Processes on Trees
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Multidimensional Real Analysis I
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Periodic Elliptic Partial Differential Operators
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Higher Index Theory
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A Course in Finite Group Representation Theory
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Optimal Control and Geometry: Integrable Systems
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The Theory of Fusion Systems
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Derived Categories
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Uniform Central Limit Theorems
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Random Fragmentation and Coagulation Processes
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Levy Processes and Stochastic Calculus
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Holomorphic Dynamics
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An Introduction to Invariants and Moduli
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Quasiconformal Surgery in Holomorphic Dynamics
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Martingales in Banach Spaces
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Tolerance Graphs
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An Outline of Ergodic Theory
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Spectra of Discrete Structures
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Fourier Analysis and Partial Differential Equations
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Riemannian Geometry
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Representations of the Infinite Symmetric Group
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Soliton Equations and their Algebro-Geometric Solutions: Volume 1, (1+1)-Dimensional Continuous Models
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Local Cohomology
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Multiplicative Number Theory I
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Analysis in Integer and Fractional Dimensions
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An Introduction to Nonlinear Analysis
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Extremal Graph and Hypergraph Theory
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The Bellman Function Technique in Harmonic Analysis
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Explicit Brauer Induction
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Random Walk: A Modern Introduction
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Clifford Algebras and the Classical Groups
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Wavelets
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The Logarithmic Integral: Volume 2
'A definitive treatment of a challenging but very useful subjectThere is a wide variety of situations calling for the estimation of the coefficients of a multivariate generating function. The authors have done a superb job of classifying and elucidating the myriad of available techniques for achieving this aim.' Richard P. Stanley, University of Miami
'This book is an invaluable resource that is certain to have dramatic impact on research and teaching in this rapidly developing area of mathematics. The first edition broke new ground; this edition prepares the field for others to harvest new knowledge with important applications in many scientific disciplines.' Robert Sedgewick, Princeton University
'This book is an invaluable resource that is certain to have dramatic impact on research and teaching in this rapidly developing area of mathematics. The first edition broke new ground; this edition prepares the field for others to harvest new knowledge with important applications in many scientific disciplines.' Robert Sedgewick, Princeton University
Robin Pemantle is Merriam Term Professor of Mathematics at the University of Pennsylvania, working in the fields of probability theory and combinatorics. He received his bachelor's degree from Berkeley and his Ph.D. from MIT. He is a Fellow of the AMS and IMS and a winner of the Rollo Davidson Prize. Mark C. Wilson is Senior Teaching Faculty at the College of Information and Computer Sciences at the University of Massachusetts, Amherst. He received his Ph.D. in mathematics from the University of Wisconsin–Madison. He is Editor-in-Chief of 'Notices of the American Mathematical Society' and life member of the Combinatorial Mathematics Society of Australasia. Stephen Melczer is Assistant Professor in the Department of Combinatorics and Optimization at the University of Waterloo. He received doctorates from the École normale supérieure de Lyon and the University of Waterloo. He is a recipient of a Governor General Silver Academic Medal and previously published the textbook 'An Invitation to Analytic Combinatorics.'
| SKU | Unavailable |
| ISBN 13 | 9781108836623 |
| ISBN 10 | 1108836623 |
| Title | Analytic Combinatorics in Several Variables |
| Author | Robin Pemantle |
| Series | Cambridge Studies In Advanced Mathematics |
| Condition | Unavailable |
| Binding Type | Hardback |
| Publisher | Cambridge University Press |
| Year published | 2024-02-15 |
| Number of pages | 592 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |