### Synopses & Reviews

Written for students taking a second or third year undergraduate course in mathematics or computer science, this book is the ideal companion to a course in enumeration. Enumeration is a branch of combinatorics where the fundamental subject matter is numerous methods of pattern formation and counting.

*An Introduction to Enumeration* provides a comprehensive and practical introduction to this subject giving a clear account of fundamental results and a thorough grounding in the use of powerful techniques and tools.

Two major themes run in parallel through the book,

#### Review

From the reviews: "This work is a very basic, short introduction to combinatorial enumeration techniques. Camina (Univ. of East Anglia, UK) and Lewis (The Mathematical Association, UK) properly explain the fundamental concepts ... . There are 20-25 exercises per chapter ... . The numerical answers to the majority of these exercises are included at the end. ... It may be useful for students who need very basic enumeration skills ... . Summing Up ... . Lower- and upper-division undergraduates." (M. Bona, Choice, Vol. 49 (4), December, 2011) "This book is written as an introduction to enumeration for second or third year undergraduate students in mathematics or computer science. Its theme is counting, using finite or infinite series ... . The development is interspersed with exercises, linked to particular sections, or covering a complete chapter. Solutions are provided at the end of the book." (Andreas N. Philippou, Zentralblatt MATH, Vol. 1230, 2012) "This is an introductory text on counting and combinatorics that has good coverage ... . It is aimed at a sophomore or higher level and has few prerequisites beyond power series. ... There are numerous exercises, and all have brief solutions in the back. ... It is unusual to see a book that combines such extensive coverage with so few prerequisites." (Allen Stenger, The Mathematical Association of America, August, 2011)

#### Synopsis

Written for students taking a second or third year undergraduate course in mathematics or computer science, this book is the ideal companion to a course in enumeration. Enumeration is a branch of combinatorics where the fundamental subject matter is numerous methods of pattern formation and counting. Introduction to Enumeration provides a comprehensive and practical introduction to this subject giving a clear account of fundamental results and a thorough grounding in the use of powerful techniques and tools.

Two major themes run in parallel through the book,

#### Synopsis

Including hundreds of worked examples and exercises with solutions, this volume focuses on the application of central mathematical topics such as linear algebra, group theory and complex analysis. Well designed diagrams and illustrations aid comprehension.

#### Synopsis

Written for students taking a second or third year undergraduate course in mathematics or computer science, this book is the ideal companion to a course in enumeration. Enumeration is a branch of combinatorics where the fundamental subject matter is numerous methods of pattern formation and counting. Introduction to Enumeration provides a comprehensive and practical introduction to this subject giving a clear account of fundamental results and a thorough grounding in the use of powerful techniques and tools. Two major themes run in parallel through the book,

#### Synopsis

Written for students taking a second or third year undergraduate course in mathematics or computer science, this book is the ideal companion to a course in enumeration. Enumeration is a branch of combinatorics where the fundamental subject matter is numerous methods of pattern formation and counting. Introduction to Enumeration provides a comprehensive and practical introduction to this subject giving a clear account of fundamental results and a thorough grounding in the use of powerful techniques and tools. Two major themes run in parallel through the book,

### About the Author

"I have adopted your text "An introduction to enumeration" for my undergraduate combinatorics course. Overall, it is wonderful...I like how your book actually teaches something, beyond a loose tour

### Table of Contents

What Is Enumeration?.- Generating Functions Count.- Working with Generating Functions.- Permutation Groups.- Matrices, Sequences and Sums.- Group Actions and Counting.- Exponential Generating Functions.- Graphs.- partitions and Paths.