Proofs that Really Count (Dolciani Mathematical Expositions, 27) - Softcover

Arthur T. Benjamin; Jennifer J. Quinn

Softcover

ISBN 10: 1470472597 ISBN 13: 9781470472597

Publisher: American Mathematical Society, 2022

Synopsis

Mathematics is the science of patterns, and mathematicians attempt to understand these patterns and discover new ones using a variety of tools. In Proofs That Really Count, award-winning math professors Arthur Benjamin and Jennifer Quinn demonstrate that many number patterns, even very complex ones, can be understood by simple counting arguments. The book emphasizes numbers that are often not thought of as numbers that count: Fibonacci Numbers, Lucas Numbers, Continued Fractions, and Harmonic Numbers, to name a few. Numerous hints and references are given for all chapter exercises and many chapters end with a list of identities in need of combinatorial proof. The extensive appendix of identities will be a valuable resource. This book should appeal to readers of all levels, from high school math students to professional mathematicians.

About this title

About the Author

Arthur T. Benjamin and Jennifer J. Quinn

Edition details

• Publisher: American Mathematical Society
• Publication date: 2022
• Language: English
• ISBN 10: 1470472597
• ISBN 13: 9781470472597
• Binding: Paperback
• Number of pages: 194