Generatingfunctionology

Front Cover
Elsevier, May 10, 2014 - Mathematics - 192 pages
0 Reviews
Reviews aren't verified, but Google checks for and removes fake content when it's identified
Generatingfunctionology provides information pertinent to generating functions and some of their uses in discrete mathematics. This book presents the power of the method by giving a number of examples of problems that can be profitably thought about from the point of view of generating functions.

Organized into five chapters, this book begins with an overview of the basic concepts of a generating function. This text then discusses the different kinds of series that are widely used as generating functions. Other chapters explain how to make much more precise estimates of the sizes of the coefficients of power series based on the analyticity of the function that is represented by the series. This book discusses as well the applications of the theory of generating functions to counting problems. The final chapter deals with the formal aspects of the theory of generating functions.

This book is a valuable resource for mathematicians and students.
 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

Chapter 1 Introductory Ideas and Examples
1
Chapter 2 Series
27
The Exponential Formula
64
Chapter 4 Applications of Generating Functions
98
Chapter 5 Analytic and Asymptotic Methods
138
Solutions
163
References
181
Index
183
Copyright

Other editions - View all

Common terms and phrases

Bibliographic information