This revised and enlarged fourth edition features five new chapters, which treat classical results such as the "Fundamental Theorem of Algebra", problems about tilings, but also quite recent proofs, for example of the Kneser conjecture in graph theory. The new edition also presents further improvements and surprises, among them a new proof for "Hilbert's Third Problem". From th...
This revised and enlarged fourth edition features five new chapters, which treat classical results such as the "Fundamental Theorem of Algebra", problems about tilings, but also quite recent proofs, for example of the Kneser conjecture in graph theory. The new edition also presents further improvements and surprises, among them a new proof for "Hilbert's Third Problem". From the Reviews: "...Inside [this 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..., but many [proofs] 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 readers will share our enthusiasm about brilliant ideas, clever insights and wonderful observations." I do..." AMS Notices 1999 "...the level is close to elementary ...the proofs are brilliant..." LMS Newsletter 1999
It has been commented upon that the “Fundamental theorem of algebra” is not really fundamental, that it is not necessarily a theorem since sometimes it serves as a definition, and that in its classical form it is not a result from algebra, but rather from analysis. (查看原文)
1. 从2023年5月到2024年5月，指导两个2022级的本科生做REU（Research Experiences for Undergraduates）项目。在明确了她们尚不明确未来是否要从事数学研究的前提下，我放弃了找一个topic给她们做，然后尝试写paper的想法，而是改为念这一本《Proofs from THE BOOK》。这其中的...
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The existence of an infinity of prime numbers, often known as Euclid's theorem, is one of the most beautiful theorems in the mathematical history. Regarded by Godfrey Hardy, an English mathematician well known for his research about number theory, as a grea...
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高等教育出版社2009版
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Springer2018版
鹦鹉螺
Springer2003版
魏理布赫
0 有用 万里风云 2014-07-08 00:18:35
神书！很有趣！
0 有用 Kennan 2012-02-13 12:55:37
适合打发时间用
0 有用 Cannibal 2011-10-09 20:42:00
景仰已久的一本书
0 有用 AZ 2018-01-10 23:30:15
snacks with intense taste of combinatorics
1 有用 Piojo 2013-02-25 07:55:38
盛名之下，其实难副