TY - BOOK AU - Matousek, Jifi, 1963 AU - Matoušek, Jiří, TI - Thirty-three miniatures : mathematical an: d algorithmic applications of linear algebra T2 - Student mathematical library, v. 53 SN - 9781470454845 U1 - 512.5 MAT PY - 2010/// CY - Providence, R.I. PB - : American Mathematical Society KW - Mathematics KW - Algebra KW - Kombinatorik KW - Linjär algebra KW - Lineare Algebra -- Lehrmittel N1 - 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 N2 - 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 ER -