Thirty-Three Miniatures: Mathematical and Algorithmic Applications of Linear Algebra (Student Mathematical Library, 53, Band 53) - Softcover

Matousek, Jiri

9780821849774: Thirty-Three Miniatures: Mathematical and Algorithmic Applications of Linear Algebra (Student Mathematical Library, 53, Band 53)

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ISBN 10: 0821849778 ISBN 13: 9780821849774

Verlag: American Mathematical Society, 2010

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Matousek started gathering these succinct applications of linear algebra some years ago, and has decided to share his collection with students. Each problem can be covered in a typical 90-minute class, he says, the earlier ones suitable for undergraduates and the latter ones for graduates. He assumes a background in basic linear algebra, a bit of familiarity with polynomials, and some terminology of graph-theory and geometry. Readers are free to notice recurring patterns, and features of linear algebra as a whole, but he does not point them out. Nothing here is original, he says. Among his topics are Fibonacci numbers, equi-angular lines, covering a cube minus one vertex, walking in the yard, turning a ladder over a finite field, the secret agent and the umbrella, and cutting cheaply using eigenvectors. Annotation �2010 Book News, Inc., Portland, OR (booknews.com)

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

�ber die Autorin bzw. den Autor

Jiř� Matoušek, Charles University, Prague, Czech Republic

��ber diesen Titel� kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag: American Mathematical Society
Erscheinungsdatum: 2010
Sprache: Englisch
ISBN 10: 0821849778
ISBN 13: 9780821849774
Einband: Taschenbuch
Anzahl der Seiten: 182
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Thirty-three Miniatures: Mathematical and Algorithmic Applications of Linear Algebra (Student Mathematical Library)

Jiri Matousek

Verlag: American Mathematical Society, 2010

ISBN 10: 0821849778 ISBN 13: 9780821849774

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Thirty-Three Miniatures : Mathematical and Algorithmic Applications of Linear Algebra

Matousek, Jiri

Verlag: American Mathematical Society, 2010

ISBN 10: 0821849778 ISBN 13: 9780821849774

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Thirty-three Miniatures - Mathematical and Algorithmic Applications of Linear Algebra (eng)

Jiri Matousek

Verlag: American Mathematical Society, 2010

ISBN 10: 0821849778 ISBN 13: 9780821849774

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Thirty-three Miniatures

Jiri Matousek

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ISBN 10: 0821849778 ISBN 13: 9780821849774

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Paperback. Zustand: 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). Bestandsnummer des Verk�ufers LU-9780821849774

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Thirty-three Miniatures: Mathematical and Algorithmic Applications of Linear Algebra (Student Mathematical Library)

Jiri Matousek

Verlag: American Mathematical Society, 2010

ISBN 10: 0821849778 ISBN 13: 9780821849774

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Zustand: 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. . . . . Bestandsnummer des Verk�ufers V9780821849774

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Thirty-three Miniatures (Paperback)

Jiri Matousek

Verlag: American Mathematical Society, Providence, 2010

ISBN 10: 0821849778 ISBN 13: 9780821849774

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Paperback. Zustand: new. Paperback. 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) 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 assumes only a modest background in linear algebra. The topics include Hamming codes, the matrix-tree theorem, the Lovasz bound on the Shannon capacity, and a counterexample to Borsuk's conjecture. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Bestandsnummer des Verk�ufers 9780821849774

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