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.
"synopsis" may belong to another edition of this title.
About the Author
Ji í Matou ek: Charles University, Prague, Czech Republic
"About this title" may belong to another edition of this title.
Search results for Thirty-three Miniatures: Mathematical and Algorithmic...
Seller Image
Thirty-Three Miniatures : Mathematical and Algorithmic Applications of Linear Algebra
Published by
American Mathematical Society, 2010
ISBN 10: 0821849778
ISBN 13: 9780821849774
Used
Softcover
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: good. May show signs of wear, highlighting, writing, and previous use. This item may be a former library book with typical markings. No guarantee on products that contain supplements Your satisfaction is 100% guaranteed. Twenty-five year bookseller with shipments to over fifty million happy customers. Seller Inventory # 15829654-5
Stock Image
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
Used
paperback
Seller: Textbooks_Source, Columbia, MO, U.S.A.
Seller rating 5 out of 5 stars
paperback. Condition: Good. Ships in a BOX from Central Missouri! May not include working access code. Will not include dust jacket. Has used sticker(s) and some writing or highlighting. UPS shipping for most packages, (Priority Mail for AK/HI/APO/PO Boxes). Seller Inventory # 001439543U
Seller Image
Thirty-three Miniatures
Published by
American Mathematical Society, US, 2010
ISBN 10: 0821849778
ISBN 13: 9780821849774
New
Paperback
Seller: Rarewaves.com USA, London, LONDO, United Kingdom
Seller rating 5 out of 5 stars
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
Buy New
US$ 68.72
Free Shipping
Ships from United Kingdom to U.S.A.
Ships from United Kingdom to U.S.A.
Quantity: 3 available
Stock Image
Thirty-three Miniatures - Mathematical and Algorithmic Applications of Linear Algebra (eng)
Published by
American Mathematical Society, 2010
ISBN 10: 0821849778
ISBN 13: 9780821849774
New
Softcover
Seller: Brook Bookstore On Demand, Napoli, NA, Italy
Seller rating 3 out of 5 stars
Condition: new. Seller Inventory # 4a8c0a4737726e7cfc05e9f577debb76
Stock Image
Thirty-three Miniatures (Paperback)
Published by
American Mathematical Society, Providence, 2010
ISBN 10: 0821849778
ISBN 13: 9780821849774
New
Paperback
Seller: Grand Eagle Retail, Bensenville, IL, U.S.A.
Seller rating 5 out of 5 stars
Paperback. Condition: 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. Seller Inventory # 9780821849774
Stock Image
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 Bookshop and Art Galleries Ltd., Galway, GY, Ireland
Seller rating 5 out of 5 stars
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
Buy New
US$ 71.10
US$ 12.24 shipping
Ships from Ireland to U.S.A.
Ships from Ireland to U.S.A.
Quantity: 1 available
Stock Image
Thirtythree Miniatures Mathematical and Algorithmic Applications of Linear Algebra
Published by
Amer Mathematical Society, 2010
ISBN 10: 0821849778
ISBN 13: 9780821849774
New
Paperback
Seller: Revaluation Books, Exeter, United Kingdom
Seller rating 5 out of 5 stars
Paperback. Condition: Brand New. 182 pages. 8.50x5.50x0.50 inches. In Stock. Seller Inventory # __0821849778
Buy New
US$ 70.68
US$ 13.46 shipping
Ships from United Kingdom to U.S.A.
Ships from United Kingdom to U.S.A.
Quantity: 2 available
Stock Image
Thirty-three Miniatures
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
Seller rating 4 out of 5 stars
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # FW-9780821849774
Buy New
US$ 80.38
US$ 5.60 shipping
Ships from United Kingdom to U.S.A.
Ships from United Kingdom to U.S.A.
Quantity: 5 available
Stock Image
Thirty-Three Miniatures
Published by
American Mathematical Society, 2010
ISBN 10: 0821849778
ISBN 13: 9780821849774
New
Softcover
Seller: Majestic Books, Hounslow, United Kingdom
Seller rating 4 out of 5 stars
Condition: New. pp. x + 182 Illus. Seller Inventory # 7954704
Buy New
US$ 81.14
US$ 8.75 shipping
Ships from United Kingdom to U.S.A.
Ships from United Kingdom to U.S.A.
Quantity: 3 available
Stock Image
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.
Seller rating 5 out of 5 stars
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