Wheelers Books
Single Digits: In Praise of Small Numbers

Single Digits: In Praise of Small Numbers (Hardback)

By Chamberland, Marc

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The numbers one through nine have remarkable mathematical properties and characteristics. For instance, why do eight perfect card shuffles leave a standard deck of cards unchanged? Are there really six degrees of separation between all pairs of people? And how can any map need on...ly four colors to ensure that no regions of the same color touch? 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. Each chapter focuses on a single digit, beginning with easy concepts that become more advanced as the chapter progresses. Chamberland covers vast numerical territory, such as illustrating the ways that the number three connects to chaos theory, an unsolved problem involving Egyptian fractions, the number of guards needed to protect an art gallery, and problematic election results. He considers the role of the number seven in matrix multiplication, the Transylvania lottery, synchronizing signals, and hearing the shape of a drum. Throughout, he introduces readers to an array of puzzles, such as perfect squares, the four hats problem, Strassen multiplication, Catalan's conjecture, 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.
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ISBN 9780691161143
Released NZ 15 Jun 2015
Format Hardback
Alternate Format(s) View All (2 other possible title(s) available)
Language English (translated from: English)
2 In stock at publisher; ships 6-12 working days

Full details for this title

ISBN-13 9780691161143
Stock Available
Status In stock at publisher; ships 6-12 working days
Publisher unlisted
Imprint Princeton University Press
Released 15 Jun 2015
Publication Country United States United States
Format Hardback
Language English
Translated from English
Author(s) By Chamberland, Marc
Category Mathematical Logic
Number Theory
Numerical Analysis
Applied Mathematics
Number of Pages 240
Dimensions Width: 152mm
Height: 235mm
Spine: 25mm
Dewey Code 512.7
Weight 482g
Interest Age 16+ years
Reading Age 16+ years
Library of Congress Mathematics, Combinatorial analysis, Sequences (Mathematics), Mathematical analysis
NBS Text Science & Mathematics: Textbooks & Study Guides
ONIX Text General/trade;College/higher education