Analytic Combinatorics
by Philippe Flajolet, Robert Sedgewick
Publisher: Cambridge University Press 2008
ISBN/ASIN: 0521898064
ISBN-13: 9780521898065
Number of pages: 822
Description:
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.
Download or read it online for free here:
Download link
(9.8MB, PDF)
Similar books
Counting Rocks! An Introduction to Combinatoricsby Henry Adams, et al. - arXiv.org
This textbook is an interactive introduction to combinatorics at the undergraduate level. The major topics in this text are counting problems, proof techniques, recurrence relations and generating functions, and an introduction to graph theory.
(5124 views)
Topics in Algebraic Combinatoricsby Richard P. Stanley - MIT
Contents: Walks in graphs; Cubes and the Radon transform; Random walks; The Sperner property; Group actions on boolean algebras; Young diagrams and q-binomial coefficients; Enumeration under group action; A glimpse of Young tableaux; etc.
(10995 views)
Applied Combinatoricsby S. E. Payne - University of Colorado
These notes deal with enumerative combinatorics. The author included some traditional material and some truly nontrivial material, albeit with a treatment that makes it accessible to the student. He derives a variety of techniques for counting.
(17948 views)
Notes on the Combinatorial Fundamentals of Algebraby Darij Grinberg - arXiv.org
This is a detailed survey, with rigorous and self-contained proofs, of some of the basics of elementary combinatorics and algebra, including the properties of finite sums, binomial coefficients, permutations and determinants.
(4635 views)