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Thirty-three miniatures : mathematical and algorithmic applications of linear algebra

Author: Jiří Matoušek
Publisher: Providence, R.I. : American Mathematical Society, ©2010.
Series: Student mathematical library, v. 53.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
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. --from publisher description.
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Genre/Form: Lehrmittel
Document Type: Book
All Authors / Contributors: Jiří Matoušek
ISBN: 9780821849774 0821849778
OCLC Number: 496727550
Description: x, 182 pages : illustrations ; 22 cm.
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 the 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.
Series Title: Student mathematical library, v. 53.
Other Titles: 33 miniatures
Responsibility: Jiří Matoušek.

Abstract:

Contains a collection of mathematical applications of linear algebra, mainly in combinatorics, geometry, and algorithms. Each chapter covers a single main result with motivation and full proof, and  Read more...

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