Thirty-Three Miniatures Mathematical and Algorithmic Applications of Linear Algebra

ISBN-10: 0821849778
ISBN-13: 9780821849774
Edition: 2010
Authors: Jiri Matousek
List price: $38.00 Buy it from $38.00
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Description: 'Thirty-three Miniatures' offers a collection of mathematical applications of linear algebra, mainly in combinatorics, geometry & algorithms. Each chapter covers a single main result with motivation & full proof in at most ten pages. A modest  More...

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Book details

List price: $38.00
Copyright year: 2010
Publisher: American Mathematical Society
Publication date: 5/28/2010
Binding: Paperback
Pages: 182
Size: 5.50" wide x 8.50" long x 0.50" tall
Weight: 0.550
Language: English

'Thirty-three Miniatures' offers a collection of mathematical applications of linear algebra, mainly in combinatorics, geometry & algorithms. Each chapter covers a single main result with motivation & full proof in at most ten pages. A modest background in linear algebra is assumed.

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

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