Single digits : in praise of small numbers / Marc Chamberland.

Format:

Book

Author/Creator:

Chamberland, Marc, author.

Language:

English

Subjects (All):

Mathematical analysis.

Sequences (Mathematics).

Combinatorial analysis.

Mathematics--Miscellanea.

Mathematics.

Physical Description:

1 online resource (241 p.)

Place of Publication:

Princeton, NJ : Princeton University Press, [2015]

Language Note:

English

Summary:

In Single Digits, Marc Chamberland takes readers on a fascinating exploration of small numbers, from one to nine, looking at their history, applications, and connections to various areas of mathematics, including number theory, geometry, chaos theory, numerical analysis, and mathematical physics. For instance, why do eight perfect card shuffles leave a standard deck of cards unchanged? And, are there really "six degrees of separation" between all pairs of people? Chamberland explores these questions and covers vast numerical territory, such as illustrating the ways that the number three connects to chaos theory, the number of guards needed to protect an art gallery, problematic election results and so much more. The book's short sections can be read independently and digested in bite-sized chunks-especially good for learning about the Ham Sandwich Theorem and the Pizza Theorem. Appealing to high school and college students, professional mathematicians, and those mesmerized by patterns, this book shows that single digits offer a plethora of possibilities that readers can count on.

Contents:

Frontmatter

Contents

Preface

Chapter 1. The Number One

Chapter 2. The Number Two

Chapter 3. The Number Three

Chapter 4. The Number Four

Chapter 5. The Number Five

Chapter 6. The Number Six

Chapter 7. The Number Seven

Chapter 8. The Number Eight

Chapter 9. The Number Nine

Chapter 10. Solutions

Further reading

Credits for illustrations

Index

Notes:

Description based upon print version of record.

Pilot project,eBook available to selected US libraries only

Includes bibliographical references and index.

Description based on online resource; title from PDF title page (publisher's Web site, viewed 23. Mai 2019)

ISBN:

9780691175690

0691175691

OCLC:

909908463