This second volume of a two-volume basic introduction to enumerative combinatorics covers the composition of generating functions, trees, algebraic generating functions, D-finite generating functions, noncommutative generating functions, and symmetric functions. The chapter on symmetric functions pr
Enumerative combinatorics
✍ Scribed by Charalambos A. Charalambides
- Book ID
- 127421311
- Publisher
- Chapman & Hall/CRC
- Year
- 2002
- Tongue
- English
- Weight
- 4 MB
- Series
- Discrete mathematics and its applications
- Edition
- 1
- Category
- Library
- City
- Boca Raton
- ISBN-13
- 9781584882909
No coin nor oath required. For personal study only.
✦ Synopsis
Enumerative Combinatorics presents elaborate and systematic coverage of the theory of enumeration. The first seven chapters provide the necessary background, including basic counting principles and techniques, elementary enumerative topics, and an extended presentation of generating functions and recurrence relations. The remaining seven chapters focus on more advanced topics, including, Stirling numbers, partitions of integers, partition polynomials, Eulerian numbers and Polya's counting theorem.Extensively classroom tested, this text was designed for introductory- and intermediate-level courses in enumerative combinatorics, but the far-reaching applications of the subject also make the book useful to those in operational research, the physical and social science, and anyone who uses combinatorial methods. Remarks, discussions, tables, and numerous examples support the text, and a wealth of exercises-with hints and answers provided in an appendix--further illustrate the subject's concepts, theorems, and applications.
✦ Subjects
Комбинаторика
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