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Enumerative Combinatorics, Charalambides, Charalambos A.


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Автор: Charalambides, Charalambos A.
Название:  Enumerative Combinatorics
ISBN: 9780367396121
Издательство: Taylor&Francis
Классификация:
ISBN-10: 0367396122
Обложка/Формат: Paperback
Страницы: 628
Вес: 1.16 кг.
Дата издания: 27.09.2019
Серия: Discrete Mathematics and Its Applications
Язык: English
Размер: 231 x 152 x 38
Читательская аудитория: Tertiary education (us: college)
Основная тема: Probability Theory & Applications
Ссылка на Издательство: Link
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Поставляется из: Европейский союз
Описание:

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 Polyas 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 subjects concepts, theorems, and applications.



Counting: The Art of Enumerative Combinatorics

Автор: George E. Martin
Название: Counting: The Art of Enumerative Combinatorics
ISBN: 1441929150 ISBN-13(EAN): 9781441929150
Издательство: Springer
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Цена: 52130.00 T
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Описание: Counting: The Art of Enumerative Combinatorics provides an introduction to discrete mathematics that addresses questions that begin, How many ways are there to...For example, How many ways are there to order a collection of 12 ice cream cones if 8 flavors are available? At the end of the book the reader should be able to answer such nontrivial counting questions as, How many ways are there to color the faces of a cube if k colors are available with each face having exactly one color? or How many ways are there to stack n poker chips, each of which can be red, white, blue, or green, such that each red chip is adjacent to at least 1 green chip? Since there are no prerequisites, this book can be used for college courses in combinatorics at the sophomore level for either computer science or mathematics students. The first five chapters have served as the basis for a graduate course for in-service teachers. Chapter 8 introduces graph theory.


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