| 书目名称 | Proofs from THE BOOK | | 编辑 | Martin Aigner,Günter M. Ziegler | | 视频video | http://file.papertrans.cn/762/761273/761273.mp4 | | 概述 | Revised and enlarged form.With five new chapters.Presents further improvements and surprises.Includes supplementary material: | | 图书封面 |  | | 描述 | PaulErdos ? likedtotalkaboutTheBook,inwhichGodmaintainstheperfect proofsformathematicaltheorems,followingthedictumofG. H. Hardythat there is no permanent place for ugly mathematics. Erdos ? also said that you need not believe in God but, as a mathematician, you should believe in The Book. A few years ago, we suggested to him to write up a ?rst (and very modest) approximation to The Book. He was enthusiastic about the idea and, characteristically, went to work immediately, ?lling page after page with his suggestions. Our book was supposed to appear in March 1998 as a present to Erdos ? ’ 85th birthday. With Paul’s unfortunate death in the summer of 1996, he is not listed as a co-author. Instead this book is dedicated to his memory. ? Paul Erdos We have no de?nition or characterization of what constitutes a proof from The Book: all we offer here is the examples that we have selected, h- ing that our readers will share our enthusiasm about brilliant ideas, clever insights and wonderful observations. We also hope that our readers will enjoy this despite the imperfections of our exposition. The selection is to a ? great extent in?uencedby Paul Erdos himself. A largenumberof the topics w | | 出版日期 | Textbook 20104th edition | | 关键词 | Algebra; Counting; Finite; Identity; analysis; calculus; combinatorics; function; geometry; number theory; pro | | 版次 | 4 | | doi | https://doi.org/10.1007/978-3-642-00856-6 | | isbn_ebook | 978-3-642-00856-6 | | copyright | Springer-Verlag Berlin Heidelberg 2010 |
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