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Proofs from THE BOOK

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Title: Proofs from THE BOOK  
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Subject: The Book, Proof of Bertrand's postulate, God's algorithm, Mathematical proofs, Mathematical proof
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Proofs from THE BOOK

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."

Proofs from THE BOOK contains 32 sections (40 in the fourth 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:

References

  • Proofs from the book. Springer, Berlin 1998, ISBN 3-540-63698-6
    • Aigner, Martin; Ziegler, Günter (2009). Proofs from THE BOOK (4th ed.). Berlin, New York: Springer-Verlag.  
    • Table of Contents of the 4th ed.
  • Günter M. Ziegler's homepage, including a list of editions and translations.
  • Shepard, Mary (1999). "Read This! Review of Proofs from THE BOOK".  .
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