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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.

**Table of contents**

- Proofs from THE BOOK | terpconloote.tk
- Donate to arXiv
- In Search of God’s Mathematical Perfect Proofs
- Proofs from THE BOOK

Truly a devotional book for those who worship the God of the Proofs. Jan 01, Amit Kumar rated it it was amazing. Good book.

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Feb 23, Robert rated it it was amazing. This is a must have for anyone who wants to write proofs better.

Feb 27, Benjamin rated it really liked it. This is a very enjoyable read. Each chapter is devoted to a mathematical result that can either be proved simply or elegantly, or can be used in such a proof. For the most part, the chapters are self-contained. Elementary definitions and concepts, such as scalar products and the pigeon-hole principle, are introduced, but it is hard to imagine that the book would be very meaningful for a reader who was not already familiar with such topics. Jul 27, Nishant Pappireddi rated it it was amazing.

This book gives relatively elegant proofs of theorems from many different fields of mathematics, and often gives multiple proofs for the same theorem. It does require some calculus and linear algebra background, but if you have that, you should be able to follow most of the proofs in this book.

## Proofs from THE BOOK | terpconloote.tk

There were a couple of times where I thought there was a more elegant proof that was not included such as Kempe's proof of the 5 color theorem , but still, this collection of proofs is as good as adverti This book gives relatively elegant proofs of theorems from many different fields of mathematics, and often gives multiple proofs for the same theorem.

There were a couple of times where I thought there was a more elegant proof that was not included such as Kempe's proof of the 5 color theorem , but still, this collection of proofs is as good as advertised. The book-in Erdos's sense- is not completed, but it is still a wonderful one! A collection of some beautiful results from number theory, combinatorics, and geometry. Oday Yacoub rated it really liked it Jul 23, Ettore Valerio rated it it was amazing May 03, Stanislav rated it it was amazing Aug 28, Clashton rated it really liked it Sep 06, Appa Saheb rated it really liked it Apr 18, Sachin Saraswat rated it liked it Dec 08, Paul Garcia rated it it was amazing Apr 05, John rated it it was amazing Jul 27, Ben rated it really liked it Jul 16, Isidor rated it liked it Sep 05, Sergi5 rated it liked it Apr 19, Paul Pseudo-Expert rated it it was amazing Jan 09, Owen rated it liked it Nov 12, Farhad rated it it was amazing Mar 31, Ortem rated it it was amazing Sep 20, Max Taldykin rated it it was amazing Jan 29, Readers also enjoyed.

Goodreads is hiring! If you like books and love to build cool products, we may be looking for you. About Martin Aigner. Martin Aigner. Books by Martin Aigner. I was fortunate enough to obtain a copy of the first edition while travelling in Europe in and I spent many pleasant hours reading it carefully from cover to cover. The style is inviting and it is very hard to stop part way through a chapter.

Indeed I have recommended the book to talented undergraduates and to mathematically literate friends. All report that they are captivated by the material and the new view of mathematics it engenders.

By now a number of reviews of the earlier editions have appeared and I must simply agree that the book is a pleasure to hold and to look at, it has striking photographs, instructive pictures and beautiful drawings. The style is clear and entertaining and the proofs are brilliant and memorable. Its thirty chapters, divided into sections on Number Theory, Geometry, Analysis ….

Each chapter is largely independent; some include necessary background as an appendix. JavaScript is currently disabled, this site works much better if you enable JavaScript in your browser. Free Preview. Show next edition. Revised and enlarged form Includes five new chapters Presents further improvements and surprises see more benefits. Buy eBook. FAQ Policy. From the Reviews " Show all.

Table of contents 40 chapters Table of contents 40 chapters Six proofs of the infinity of primes Pages Aigner, Martin et al.

## Donate to arXiv

Binomial coefficients are almost never powers Pages Aigner, Martin et al. Representing numbers as sums of two squares Pages Aigner, Martin et al. The law of quadratic reciprocity Pages Aigner, Martin et al. Every finite division ring is a field Pages Aigner, Martin et al. Some irrational numbers Pages Aigner, Martin et al. The theorems are so fundamental, their proofs so elegant and the remaining open questions so intriguing that every mathematician, regardless of speciality, can benefit from reading this book.

Help Centre. My Wishlist Sign In Join. Ziegler , Karl H. Hofmann Illustrator. Be the first to write a review. Add to Wishlist. Ships in 7 to 10 business days. Link Either by signing into your account or linking your membership details before your order is placed. Description Table of Contents Product Details Click on the cover image above to read some pages of this book!

Number Theory: 1.

## In Search of God’s Mathematical Perfect Proofs

Six proofs of the infinity of primes. Bertrand's postulate. Binomial coefficients are almost never powers. Representing numbers as sums of two squares. The law of quadratic reciprocity. Every finite division ring is a field.

The spectral theorem and Hadamard's determinant problem. Some irrational numbers. Hilbert's third problem: decomposing polyhedral.

### Proofs from THE BOOK

Lines in the plane and decompositions of graphs. The slope problem. Three applications of Euler's formula.

Cauchy's rigidity theorem. The Borromean rings don't exist. Touching simplices. Every large point set has an obtuse angle.