02211nam a22002417a 450000500170000000800410001702000180005808200140007610000250009024501140011526000660022930000450029549000410034050510580038152003840143965000160182365000120183965000170185165000220186865000180189065000350190870000260194320191021131117.0191021b ||||| |||| 00| 0 eng d a9781470454845 a512.5 MAT aMatousek, Jifi, 1963 aThirty-three miniatures : mathematical anbd algorithmic applications of linear algebrac/ Jiří Matoussek aProvidence, R.I. b: American Mathematical Society,c ©2010. ax, 182 pages b: illustrations c; 22 cm aStudent mathematical library, v. 53. aFibonacci 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. aContains 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 aMathematics aAlgebra aKombinatorik aLinjär algebra. aKombinatorik. aLineare Algebra -- Lehrmittel. aMatoušek, Jiří,