The Book of Numbers / Edition 1

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Overview

"...the great feature of the book is that anyone can read it without excessive head scratching...You'll find plenty here to keep you occupied, amused, and informed. Buy, dip in, wallow." -IAN STEWART, NEW SCIENTIST
"...a delightful look at numbers and their roles in everything from language to flowers to the imagination." -SCIENCE NEWS
"...a fun and fascinating tour of numerical topics and concepts. It will have readers contemplating ideas they might never have thought were understandable or even possible." -WISCONSIN BOOKWATCH
"This popularization of number theory looks like another classic." -LIBRARY JOURNAL

Authors explore patterns that emerge in arithmetic, algebra, & geometry, describe the relevance inside & outside math.

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Editorial Reviews

Library Journal
The authors are well known to both academic and recreational mathematicians-Conway for inventing the "game of life" and discovering surreal numbers and Guy as the editor of the "Unsolved Problems" section in American Mathematical Monthly. They also coauthored the classic Winning Ways for Your Mathematical Plays (Academic, 1982). This popularization of number theory looks like another classic. Though number theory does not lend itself to fun and games, the authors take such joy in the order and patterns of numbers that you can't help being fascinated by what is actually a fairly difficult subject. A combination of clear verbal explanations, wonderfully clever diagrams, and equations (for the real mathematicians) make sometimes complicated numerical concepts accessible to those "without particular mathematical background" (i.e., who are not at least graduate students in mathematics). The material is simplified but not dumbed down. A bridge to understanding and appreciating higher mathematical concepts, this book could appeal to anyone from a mathematically sophisticated high school student to a university mathematics professor.-Amy Brunvand, Univ. of Utah Lib., Salt Lake City
From the Publisher
From the reviews:

"This is a really fascinating book either to read or to browse in, or for reference - there is a good index, and I can strongly recommend it - it should be in every school and college library!" The Mathematical Gazette

"… A delightful look at numbers and their roles in everything from language to flowers to the imagination." Science News

"… The great feature of the book is that anyone can read it without excessive head scratching … You'll find plenty here to keep you occupied, amused, and informed. Buy, dip in, wallow." New Scientist

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Product Details

  • ISBN-13: 9780387979939
  • Publisher: Springer New York
  • Publication date: 9/27/1996
  • Edition description: 1st Corrected ed. 1996. Corr. 2nd printing 1998
  • Edition number: 1
  • Pages: 310
  • Sales rank: 1,420,072
  • Product dimensions: 6.30 (w) x 9.20 (h) x 0.90 (d)

Table of Contents

1. The Romance of Numbers
2. Figures from Figures Doing Arithmetic and Algebra by Geometry
3. What Comes Next?
4. Famous Families of Numbers
5. The Primacy of Primes
6. Further Fruitfulness of Fractions
7. Geometric Problems and Algebraic Numbers
8. Imagining Imaginary Numbers
9. Some Transcendental Numbers
10. Infinite and Infinitesimal Numbers

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Customer Reviews

Average Rating 5
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Sort by: Showing 1 Customer Reviews
  • Anonymous

    Posted March 29, 2000

    I like this book. I'm not sure why yet, though

    This book is full of clear guideposts leading into fantastic worlds . . . the chapters on surreal numbers are the BEST!!! It changed the way I thought about the study of mathematics (especially completeness) forever. When I was done, I felt a sense of structure and resolution that no novel can even compare to. I'd probably give it 6 stars if I could.

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