Thirty-three Miniatures: Mathematical and Algorithmic Applications of Linear Algebra (Student Mathematical Library) - Softcover
Synopsis
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 Lovász 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.
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Ji í Matou ek: Charles University, Prague, Czech Republic
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Thirty-three Miniatures: Mathematical and Algorithmic Applications of Linear Algebra (Student Mathematical Library) (Student Mathematical Library, 53)
Published by
American Mathematical Society, 2010
ISBN 10: 0821849778
ISBN 13: 9780821849774
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Thirty-three Miniatures: Mathematical and Algorithmic Applications of Linear Algebra (Student Mathematical Library)
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American Mathematical Society (edition ), 2010
ISBN 10: 0821849778
ISBN 13: 9780821849774
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Thirty-three Miniatures: Mathematical and Algorithmic Applications of Linear Algebra (Student Mathematical Library)
Published by
American Mathematical Society, 2010
ISBN 10: 0821849778
ISBN 13: 9780821849774
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Thirty-three Miniatures: Mathematical and Algorithmic Applications of Linear Algebra (Student Mathematical Library)
Published by
American Mathematical Society, 2010
ISBN 10: 0821849778
ISBN 13: 9780821849774
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Thirty-three Miniatures
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American Mathematical Society, US, 2010
ISBN 10: 0821849778
ISBN 13: 9780821849774
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Paperback. Condition: New. 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). Seller Inventory # LU-9780821849774
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Thirty-Three Miniatures : Mathematical and Algorithmic Applications of Linear Algebra
Published by
American Mathematical Society, 2010
ISBN 10: 0821849778
ISBN 13: 9780821849774
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Thirty-three Miniatures: Mathematical and Algorithmic Applications of Linear Algebra (Student Mathematical Library)
Published by
American Mathematical Society, 2010
ISBN 10: 0821849778
ISBN 13: 9780821849774
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Condition: New. Series: Student Mathematical Library. Num Pages: 182 pages, Illustrations. BIC Classification: PBMW. Category: (UU) Undergraduate. Dimension: 216 x 140 x 11. Weight in Grams: 238. . 2010. Paperback. . . . . Seller Inventory # V9780821849774
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Thirty-Three Miniatures : Mathematical and Algorithmic Applications of Linear Algebra
Published by
American Mathematical Society, 2010
ISBN 10: 0821849778
ISBN 13: 9780821849774
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Thirty-three Miniatures: Mathematical and Algorithmic Applications of Linear Algebra (Student Mathematical Library)
Published by
American Mathematical Society, 2010
ISBN 10: 0821849778
ISBN 13: 9780821849774
New
Softcover
Seller: Kennys Bookstore, Olney, MD, U.S.A.
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Condition: New. Series: Student Mathematical Library. Num Pages: 182 pages, Illustrations. BIC Classification: PBMW. Category: (UU) Undergraduate. Dimension: 216 x 140 x 11. Weight in Grams: 238. . 2010. Paperback. . . . . Books ship from the US and Ireland. Seller Inventory # V9780821849774