From the Reviews: "... Inside PFTB (Proofs from The Book) is indeed a glimpse of mathematical heaven, where clever insights and beautiful ideas combine in astonishing and glorious ways. There is vast wealth within its pages, one gem after another. Some of the proofs are classics, but many are new and brilliant proofs of classical results. ...Aigner and Ziegler... write: "... all we offer is the examples that we have selected, hoping that our rea...

## Details Proofs from THE BOOK

Title | Proofs from THE BOOK |
---|---|

ISBN | 9783540404606 |

Author | Martin Aigner |

Release Date | Nov 13^{th}, 2003 |

Publisher | Springer |

Language | English |

Genre | Science, Mathematics, Nonfiction, Reference, Textbooks |

Rating |

### Reviews Proofs from THE BOOK

- The late mathematician and philosopher Gian-Carlo Rota referring to the age old (and perhaps unanswerable) question - "are mathematical ideas invented or discovered?" would say that mathematics led a double life. One of these lives dealt with facts, that mathematicians communicate and study much like taxonomists. Mathematical facts are as useful as the facts of any other Science and no matter how abstruse invariably find applications as well. Quo...
- What a delight! There's plenty of distinguished results from various fields here that were new to me, and the proofs are as sweet and succulent as advertised. Definitely a fine selection for anyone in love with math and beautiful results.
- Che cos'è Il Libro? Forse la Bibbia? In un certo senso sì. Secondo Paul Erdős, Dio (o The Great Fascist, come lo chiamava lui) aveva un libro con tutte le dimostrazioni matematiche più belle ed eleganti, e ogni tanto qualche mortale riusciva a dargli un'occhiata e trovarne una... che suscitava ammirazione e invidia negli altri matematici. Occhei, il 99,9% degli esseri umani non capisce la differenza, ma da quando in qua questo è motivo per l...
- I hesitate to call this a textbook (and I make it a point not to add them to my list) because every person I know who has read this has done it solely for pleasure and we all remember the lines not because we tried, but because it took us briefly to another world. This book is a comic, a Bible and a whodunnit - makes you smile at the world even in times of trouble, makes you subscribe to a lifestyle and makes you stay at the edge of your seat, pe...
- This is a collection of beautiful mathematical proofs. I now know two proofs of the divergence of the harmonic series of primes, Euler's and Erdős's; it is easy to see where Euler's proof is coming from (given modern mathematical notation, which was not available to Euler and which he helped invent), but how Erdős came up with his proof, I cannot comprehend.
- 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.my favo...
- Elegance, beauty, inspiration and -- why not? -- passion. Truly a devotional book for those who worship the God of the Proofs.
- such a great book is worth marking..
- Good book
- This is a must have for anyone who wants to write proofs better.
- 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. 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 stil...
- 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.