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# Single Digits

In Praise of Small Numbers

**Marc Chamberland**

- Hardcover201526.9521.00ISBN9780691161143240 pp.6 x 9 1/424 halftones. 93 line illus. 20 tables.
- Paperback2017© 201517.9513.99ISBN9780691175690240 pp.6 x 9 1/424 halftones. 93 line illus. 18 tables.

- E-bookISBN9781400865697

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.

**Marc Chamberland** is professor of mathematics and natural sciences at Grinnell College. He is the creator of the YouTube channel *Tipping Point Math, *which strives to make mathematics accessible to everyone.

## Reviews

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*Publishers Weekly***--**

*Math Tango blog***--Alexander Bogomolny,**

*Cut the Knot blog***--**

*Booklist**e*have gotten their share of attention in the world of popular mathematical writing. Now it's time to give proper attention to the integers 1 through 9. . . . [

*Single Digits*] is consistently entertaining and well-written."

**--**

*MAA Reviews***--DVD,**

*Lunar and Planetary Information Bulletin***--**

*Math Horizons***--**

*Choice**Single Digits*] is a very enjoyable book which, at many points, makes some very deep mathematics quite accessible. Highly recommended."

**--Keith Johnson,**

*CMS Notes**Single Digits*can provide a very readable introduction or jumping-off point for discussions and projects. . . . In an introductory group theory course, it would be a good exercise for students to consider perfect riffle shuffles in decks of size other than 52. Finally, a statistics class collecting and analyzing real-world data sets could consider whether Benford's Law applies in their situation."

**--Matthew Welz,**

*MAA Focus**Single Digits: In Praise of Small Numbers*. It would be a fine addition to any high school or math department library. As a carefully curated set of interesting topics, it would serve as a good place to start exploring the ocean of ideas in mathematics."

**--Bruce Cohen,**

*NCTM*## Endorsements

*Single Digits*will provide you with conversational ammunition for all manner of nerdy gatherings."

**—Henry Reich, creator of**

*MinutePhysics*and*MinuteEarth***—Avner Ash, coauthor of**

*Elliptic Tales***—Jamie Pommersheim, coauthor of**

*Number Theory**Single Digits*is filled with nuggets of mathematical information, compelling topics, and interesting ideas for anyone curious about the subject."

**—Lee Fothergill, Mount Saint Mary College**

*Single Digits*presents mathematical vignettes organized by their connection to single nonzero digits. Progressing from the elementary to the more elaborate, Chamberland brings together some really interesting mathematics, and his well-told stories will intrigue a general, knowledgeable audience."

**—Jennifer Quinn, University of Washington, Tacoma**

## Other Books Written by this Author(s)

- Marc Chamberland

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