Proofs from THE BOOK - WikipediaOver the two decades since it first appeared, it has gone through five editions, each with new proofs added, and has been translated into 13 languages. Quanta Magazine sat down with Ziegler at the meeting to discuss beautiful and ugly mathematics. The interview has been edited and condensed for clarity. Of course, there are all these components of a beautiful proof. For some theorems, there are different perfect proofs for different types of readers. I mean, what is a proof? A proof, in the end, is something that convinces the reader of things being true.
Best Proofs From The Book Aigner And Ziegler of 2020 - Top Rated & Reviewed
There is vast wealth within its pages. Goodreads is the world's largest site for readers with over 50 million reviews. Enlarge cover. Paul Garcia rated it it was amazing Apr 05.Elementary definitions and conceptsGeometry, but it is hard to imagine that the book would be very meaningful for a reader who was not already familiar with such topics. Is it because of its "handy" properties like per? Appa Saheb rated it really liked it Apr 18.
Sets, and the continuum hypothesis. The chromatic number of Kneser graphs! Binomial coefficients are almost never powers. Three applications of Euler's formula!
How to guard a museum. On a lemma of Littlewood and Offord. Rating details. More filters.
Farhad rated it it was amazing Mar 31, thus also maximizing the insight that can be gained into the problem. Return to Book Page. One might say that the simplest, Product details Format Hardback pages Dimensions x x.
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Why Stephen Hawking’s Black Hole Puzzle Keeps Puzzling
In Proofs from THE BOOK Aigner and Ziegler have attempted not to write that Book itself, which would be hubris on a grand scale, but to select proofs which would be candidates for inclusion in it, restricting themselves to those which use only basic higher mathematics. A lot of solid mathematics is packed into Proofs. Its thirty chapters, divided into sections on Number Theory, Geometry, Analysis, Combinatorics, and Graph Theory, cover a broad range of subjects: the infinity of primes, applications of Euler's formula, five-coloring of plane graphs, Latin squares, the problem of the thirteen spheres, Borsuk's conjecture, inequalities, the irrationality of pi, and so on. Each chapter is largely independent; some include necessary background as an appendix. The proofs included are all relatively accessible, but readers will want to have done the better part of an undergraduate degree in pure mathematics, or an equivalent.