Proofs from THE BOOK Corrected Edition

by Martin Aigner (Author), Günter M. Ziegler (Author)

3 customer reviews

ISBN-13: 978-3540636984

ISBN-10: 3540636986

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The (mathematical) heroes of this book are "perfect proofs": brilliant ideas, clever connections and wonderful observations that bring new insight and surprising perspectives on basic and challenging problems from Number Theory, Geometry, Analysis, Combinatorics, and Graph Theory.
Thirty beautiful examples are presented here. They are candidates for The Book in which God records the perfect proofs - according to the late Paul Erdös, who himself suggested many of the topics in this collection.
The result is a book which will be fun for everybody with an interest in mathematics, requiring only a very modest (undergraduate) mathematical background.

Proofs from THE BOOK

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Product Details

Hardcover: 199 pages
Publisher: Springer; Corrected edition (December 31, 1998)
Language: English
ISBN-10: 3540636986
ISBN-13: 978-3540636984
Product Dimensions: 0.8 x 7.8 x 10 inches
Shipping Weight: 1.6 pounds
Average Customer Review: 4.7 out of 5 stars See all reviews (3 customer reviews)
Amazon Best Sellers Rank: #1,687,085 in Books (See Top 100 in Books)
- #304 in Books > Science & Math > Mathematics > Pure Mathematics > Combinatorics
- #546 in Books > Science & Math > Mathematics > Pure Mathematics > Number Theory
- #928 in Books > Textbooks > Science & Mathematics > Mathematics > Geometry

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Customer Reviews

4.7 out of 5 stars

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Most Helpful Customer Reviews

76 of 76 people found the following review helpful

original

By Giuseppe A. Paleologo on June 4, 2000

Format: Hardcover

This book was conceived as a tribute to Paul Erdos for his 85th birthday. It is clearly inspired by his aestetics and research interests. The proofs are from number theory, combinatorial geometry, inequalities, combinatorics and graph theory. The statements are very often easy to understand; for example "there always exists a prime number between n and 2n", "every set of more than 2^d points in R^d determines at least one obtuse angle". Theorems and proofs are chosen because of their simplicity and elegance, not their relevance to modern or past mathematics. The book is, graphically and stilistically, a gem.
Overall, this is great reading for mathematicians and mathematically literate readers alike. It's also a bit odd, since the book is neither a reference nor a textbook. The only criticism I have is not directed to the book itself. It would be much appreciated to have similar books, but focused on different topics. For example "probabilistic proofs from the book", or "topological proofs from the book".

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16 of 17 people found the following review helpful

The ideal maths book for dipping into...

By Mr Andrew Mullins on April 9, 2000

Format: Hardcover

This is a beautifully produced book with very elegant proofs of theorems from a variety of areas. The proofs require little previous knowledge, but be warned: if you haven't got undergraduate mathematics then you will not find it easy to read. On the other hand, if you have then you will find this book truly delightful. Top marks!

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17 of 20 people found the following review helpful

Proofs from THE book!!!!!!!

By A Customer on August 26, 2000

Format: Hardcover

An excellent book which looks at all branches of mathematics - graph theory, combinatorics, even logic. Contains some of the most spectacular proofs to math's most interesting conjectures. I highly recommend this book for any student interested in pursuing mathematics beyond high school. -I am sorry for my broken english, I speak French.

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