Analytic Combinatorics
$105.00 (C)
- Authors:
- Philippe Flajolet, Institut National de Recherche en Informatique et en Automatique (INRIA), Rocquencourt
- Robert Sedgewick, Princeton University, New Jersey
- Date Published: January 2009
- availability: Available
- format: Hardback
- isbn: 9780521898065
$
105.00
(C)
Hardback
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Analytic Combinatorics is a self-contained treatment of the mathematics underlying the analysis of discrete structures, which has emerged over the past several decades as an essential tool in the understanding of properties of computer programs and scientific models with applications in physics, biology and chemistry. Thorough treatment of a large number of classical applications is an essential aspect of the presentation. Written by the leaders in the field of analytic combinatorics, this text is certain to become the definitive reference on the topic. The text is complemented with exercises, examples, appendices and notes to aid understanding therefore, it can be used as the basis for an advanced undergraduate or a graduate course on the subject, or for self-study.
Read more- Comprehensive: generous notes, appendices, examples and exercises, as well as the inclusion of proofs of fundamental results
- Unified: ties together classical mathematics and modern applications
- Cutting edge: first book with extensive coverage of analytic methods needed to analyse large combinatorial configurations
Awards
- Winner, 2019 Leroy P. Steele Prize for Mathematical Exposition, American Mathematical Society
Reviews & endorsements
"... this is a valuable, comprehensive treatment."
Angele M. Hamel, reviews.comSee more reviews"... certain to become the standard reference book of the field. While Analytical Combinatorics has more than enough information to become a reference book, it is also written in a reader-friendly style that makes it appropriate as a course resource. In the past, it was not always clear what "analytic combinatorics" meant; this book will bring about a consensus on that question."
M. Bona, Choice Magazine"Because of the breadth, and depth of topical coverage, the highly applicable results and the enjoyable writing that characterize this book, Analytic Combinatorics is now defined. The authors wrote the book on it."
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×Product details
- Date Published: January 2009
- format: Hardback
- isbn: 9780521898065
- length: 826 pages
- dimensions: 254 x 178 x 45 mm
- weight: 1.6kg
- contains: 74 b/w illus. 50 tables
- availability: Available
Table of Contents
Preface
An invitation to analytic combinatorics
Part A. Symbolic Methods:
1. Combinatorial structures and ordinary generating functions
2. Labelled structures and exponential generating functions
3. Combinatorial parameters and multivariate generating functions
Part B. Complex Asymptotics:
4. Complex analysis, rational and meromorphic asymptotics
5. Applications of rational and meromorphic asymptotics
6. Singularity analysis of generating functions
7. Applications of singularity analysis
8. Saddle-Point asymptotics
Part C. Random Structures:
9. Multivariate asymptotics and limit laws
Part D. Appendices: Appendix A. Auxiliary elementary notions
Appendix B. Basic complex analysis
Appendix C. Concepts of probability theory
Bibliography
Index.-
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Analytic Combinatorics
Philippe Flajolet, Robert Sedgewick
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