02287nam a22002657a 4500 55771 55771 20191021131117.0 191021b ||||| |||| 00| 0 eng d 9781470454845 512.5 MAT Matousek, Jifi, 1963 Thirty-three miniatures : mathematical an d algorithmic applications of linear algebra / Jiří Matoussek Providence, R.I. : American Mathematical Society, ©2010. x, 182 pages : illustrations ; 22 cm Student mathematical library, v. 53. 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. 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 Mathematics Algebra Kombinatorik Linjär algebra. Kombinatorik. Lineare Algebra -- Lehrmittel. Matoušek, Jiří, MDL 0 0 ddc 0 0 MDL SNUL 2019-10-21 0.00 0 512.5 MAT M045 2019-10-21 00:00:00 2019-10-21 MDL