… this is a very nice book.” (Donald L. Vestal, The Mathematical Association of America, May, 2010) “Martin Aigner and Günter Ziegler succeeded admirably in putting together a broad collection of theorems and their proofs that would undoubtedly be in the Book of Erdős. The theorems ...
Proofs from Paul Erdős 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》。这其中的优点和缺点都是...
Proofs from THE BOOK. Springer-Verlag, Berlin Heidelberg New York, 2004.M. Aigner, G. M. Ziegler, Proofs from The Book, 3rd edition, Springer, Berlin, 2004.M. Aigner and G. M. Ziegler, Proofs from THE BOOK , 3rd ed., Springer-Verlag, Heidelberg, 2004....
Six proofs of the infinity of primes Chapter 1 It is only natural that we start these notes with probably the oldest Book Proof, usually attributed to Euclid. It shows that the sequence of primes does not end. Euclid’s Proof. For any finite set of primes, consider the number . Th...
Proofs from THE BOOK 2024 pdf epub mobi 电子书 图书描述 The (mathematical) heroes of this book are "perfect proofs": brilliant ideas, clever connections and wonderful observations that bring new insight and surprising perspectives on basic and challenging problems from Number Theory, Geometry, ...
在读 Proofs from THE BOOK 书名: Proofs from THE BOOK 作者: Martin Aigner/Günter M. Ziegler 页数: 239 出版社: Springer 出版年: 2003-11-13 第3页For this end we verify the recursion F0 * F1 * … Fn-1 = Fn - 2 ( n >= 1), from which our assertion follows immediately. ...
Proofs from the book: Fifth edition This paper is purely expository. We present short elementary proofs of * the Gauss Theorem on constructibility of regular polygons; * the existence of a cu... M Aigner,GM Ziegler - Springer 被引量: 1发表: 2014年 ...
这篇文章源自Proofs from the book。概率有时候让计数变的更简单。下面是概率应用在几何图论的例子。得到一般图 ( m ≥ 4 n ) 的交叉数的下界,即交叉数引理。然后我们介绍一个类似方法运用到二部图上。顺便说一下,关于交叉数,第一本专著在2018年出版。
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和那令人作呕的奇妙的美丽的翻译腔 但是,每次打开这本书 “无限的库藏里还有若干其他的旧的或新的...