Introduction to Combinatorial Analysis (Dover Books on Mathematics)

Book Details

• Author: John Riordan

• Brand: Dover

• Edition: Dover Edition

• Binding: Paperback

• Number of Pages: 256

• Release Date: 13th December 2002

• ISBN: 9780486425368

• Package Dimensions: 8.5 x 5.5 x 0.6 inches

• Languages: English

About The Book
John Riordan's Introduction to Combinatorial Analysis provides a clear and concise overview of combinatorial analysis, a fundamental area of mathematics focused on counting and arrangements. The book begins by exploring the theory of permutations and combinations, with an emphasis on elementary algebra before advancing to more complex topics.

In Chapter 2, the author introduces generating functions, which are essential tools in combinatorics, followed by an extensive treatment of multivariable polynomials. The principle of inclusion and exclusion, a crucial concept for enumerating permutations with restrictions, is explored in Chapter 3, laying the groundwork for the advanced discussions found in Chapters 7 and 8.

Subsequent chapters cover key topics such as the enumeration of cyclic permutations, the theory of distributions, partitions, compositions, and the enumeration of trees and linear graphs. Each chapter is accompanied by a problem section designed to deepen understanding and enhance problem-solving skills, making the book an excellent resource for students with a solid mathematical foundation.

Riordan's Introduction to Combinatorial Analysis serves as both an introduction and a comprehensive guide, suitable for anyone seeking to study combinatorics in greater depth. With its clear explanations, numerous examples, and rigorous problems, this book is an invaluable resource for students and professionals alike.