Thirty-three Miniatures 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024


Thirty-three Miniatures

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Jiří Matoušek 作者
American Mathematical Socity
譯者
2010-6-18 出版日期
182 頁數
USD 24.60 價格
平裝
Student Mathematical Library 叢書系列
9780821849774 圖書編碼

Thirty-three Miniatures 在線電子書 圖書標籤: 數學  綫性代數  算法  Linear_Algebra  數學科學  代數  Trick  Mathematics   


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Thirty-three Miniatures 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

Thirty-three Miniatures 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

Thirty-three Miniatures 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024



Thirty-three Miniatures 在線電子書 用戶評價

評分

很好玩的書:每個定理基本上一兩頁左右...好多看上去讓人無處下手的問題竟然用基本的綫性代數的工具簡單利落的處理掉,覺得真是好奇妙啊~

評分

很好玩的書:每個定理基本上一兩頁左右...好多看上去讓人無處下手的問題竟然用基本的綫性代數的工具簡單利落的處理掉,覺得真是好奇妙啊~

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類似數學天書中的證明,都是鬼斧神工般的精妙證明。

評分

很好玩的書:每個定理基本上一兩頁左右...好多看上去讓人無處下手的問題竟然用基本的綫性代數的工具簡單利落的處理掉,覺得真是好奇妙啊~

評分

很好玩的書:每個定理基本上一兩頁左右...好多看上去讓人無處下手的問題竟然用基本的綫性代數的工具簡單利落的處理掉,覺得真是好奇妙啊~

Thirty-three Miniatures 在線電子書 著者簡介

Jiří Matoušek: Charles University, Prague, Czech Republic


Thirty-three Miniatures 在線電子書 著者簡介


Thirty-three Miniatures 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Thirty-three Miniatures 在線電子書 圖書描述

This volume contains a collection of clever mathematical applications of linear algebra, mainly in combinatorics, geometry, and algorithms. Each chapter covers a single main result with motivation and full proof in at most ten pages and can be read independently of all other chapters (with minor exceptions), assuming only a modest background in linear algebra. The topics include a number of well-known mathematical gems, such as Hamming codes, the matrix-tree theorem, the Lovasz bound on the Shannon capacity, and a counterexample to Borsuk's conjecture, as well as other, perhaps less popular but similarly beautiful results, e.g., fast associativity testing, a lemma of Steinitz on ordering vectors, a monotonicity result for integer partitions, or a bound for set pairs via exterior products. The simpler results in the first part of the book provide ample material to liven up an undergraduate course of linear algebra. The more advanced parts can be used for a graduate course of linear-algebraic methods or for seminar presentations. Table of Contents: Fibonacci numbers, quickly; Fibonacci numbers, the formula; The clubs of Oddtown; Same-size intersections; Error-correcting codes; Odd distances; Are these distances Euclidean?; Packing complete bipartite graphs; Equiangular lines; Where is the triangle?; Checking matrix multiplication; Tiling a rectangle by squares; Three Petersens are not enough; Petersen, Hoffman-Singleton, and maybe 57; Only two distances; Covering a cube minus one vertex; Medium-size intersection is hard to avoid; On the difficulty of reducing the diameter; The end of the small coins; Walking in the yard; Counting spanning trees; In how many ways can a man tile a board?; More bricks--more walls?; Perfect matchings and determinants; Turning a ladder over a finite field; Counting compositions; Is it associative?; The secret agent and umbrella; Shannon capacity of the union: a tale of two fields; Equilateral sets; Cutting cheaply using eigenvectors; Rotating the cube; Set pairs and exterior products; Index. (STML/53)

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