Suvarna Garge (Editor)

Proofs from THE BOOK

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Originally published
  
1998

Author
  
Martin Aigner

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Editors
  
Günter M. Ziegler, Martin Aigner

Similar
  
Martin Aigner books, Mathematics books

Math encounters proofs from the book presentation


Proofs from THE BOOK is a book of mathematical proofs by Martin Aigner and Günter M. Ziegler. The book is dedicated to the mathematician Paul Erdős, who often referred to "The Book" in which God keeps the most elegant proof of each mathematical theorem. During a lecture in 1985, Erdős said, "You don't have to believe in God, but you should believe in The Book."

Contents

Math encounters proofs from the book q a


Content

Proofs from THE BOOK contains 32 sections (44 in the fifth edition), each devoted to one theorem but often containing multiple proofs and related results. It spans a broad range of mathematical fields: number theory, geometry, analysis, combinatorics and graph theory. Erdős himself made many suggestions for the book, but died before its publication. The book is illustrated by Karl Heinrich Hofmann. It has gone through five editions in English, and has been translated into Persian, French, German, Hungarian, Italian, Japanese, Chinese, Polish, Portuguese, Korean, Turkish, Russian and Spanish.

The proofs include:

  • Proof of Bertrand's postulate
  • Proof that e is irrational (also showing the irrationality of certain related numbers)
  • Six proofs of the infinitude of the primes, including Euclid's and Furstenberg's
  • Monsky's theorem (4th edition)
  • Wetzel's problem on families of analytic functions with few distinct values
  • Steve Fisk's proof of the The art gallery theorem
  • References

    Proofs from THE BOOK Wikipedia