<p><strong>Introduction to Enumerative and Analytic Combinatorics</strong> fills the gap between introductory texts in discrete mathematics and advanced graduate texts in enumerative combinatorics. The book first deals with basic counting principles, compositions and partitions, and generating funct
Introduction to enumerative combinatorics
β Scribed by Miklos Bona
- Publisher
- MGH
- Year
- 2007
- Tongue
- English
- Leaves
- 534
- Series
- Walter Rudin Student Series in Advanced Mathematics
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
Written by one of the leading authors and researchers in the field, this comprehensive modern text offers a strong focus on enumeration, a vitally important area in introductory combinatorics crucial for further study in the field. MiklΓ³s BΓ³na's text fills the gap between introductory textbooks in discrete mathematics and advanced graduate textbooks in enumerative combinatorics, and is one of the very first intermediate-level books to focus on enumerative combinatorics. The text can be used for an advanced undergraduate course by thoroughly covering the chapters in Part I on basic enumeration and by selecting a few special topics, or for an introductory graduate course by concentrating on the main areas of enumeration discussed in Part II. The special topics of Part III make the book suitable for a reading course.
This text is part of the Walter Rudin Student Series in Advanced Mathematics.
π SIMILAR VOLUMES
Enumerative combinatorics, in its algebraic and analytic forms, is vital to many areas of mathematics, from model theory to statistical mechanics. This book, which stems from many years' experience of teaching, invites students into the subject and prepares them for more advanced texts. It is suitab
<span>Combinatorial reciprocity is a very interesting phenomenon, which can be described as follows: A polynomial, whose values at positive integers count combinatorial objects of some sort, may give the number of combinatorial objects of a different sort when evaluated at negative integers (and sui