The Book of Numbers

1. Front Matter

   Pages i-ix

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2. The Romance of Numbers

   • John H. Conway, Richard K. Guy

   Pages 1-26

3. Figures from Figures Doing Arithmetic and Algebra by Geometry

   • John H. Conway, Richard K. Guy

   Pages 27-62

4. What Comes Next?

   • John H. Conway, Richard K. Guy

   Pages 63-89

5. Famous Families of Numbers

   • John H. Conway, Richard K. Guy

   Pages 91-126

6. The Primacy of Primes

   • John H. Conway, Richard K. Guy

   Pages 127-149

7. Further Fruitfulness of Fractions

   • John H. Conway, Richard K. Guy

   Pages 151-179

8. Geometric Problems and Algebraic Numbers

   • John H. Conway, Richard K. Guy

   Pages 181-210

9. Imagining Imaginary Numbers

   • John H. Conway, Richard K. Guy

   Pages 211-235

10. Some Transcendental Numbers

    • John H. Conway, Richard K. Guy

    Pages 237-263

11. Infinite and Infinitesimal Numbers

    • John H. Conway, Richard K. Guy

    Pages 265-300

12. Back Matter

    Pages 301-310

    PDF

Journey through the world of numbers with the foremost authorities and writers in the field.
John Horton Conway and Richard K. Guy are two of the most accomplished, creative, and engaging number theorists any mathematically minded reader could hope to encounter. In this book, Conway and Guy lead the reader on an imaginative, often astonishing tour of the landscape of numbers.
The Book of Numbers is just that - an engagingly written, heavily illustrated introduction to the fascinating, sometimes surprising properties of numbers and number patterns. The book opens up a world of topics, theories, and applications, exploring intriguing aspects of real numbers, systems, arrays and sequences, and much more. Readers will be able to use figures to figure out figures, rub elbows with famous families of numbers, prove the primacy of primes, fathom the fruitfulness of fractions, imagine imaginary numbers, investigate the infinite and infinitesimal and more.

• Arithmetic
• Finite
• Prime
• algebra
• geometry
• mathematics
• number theory

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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