A Walk Through Combinatorics
Autor Miklos Bonaen Limba Engleză Hardback – 8 mai 2011
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Specificații
ISBN-13: 9789814335232
ISBN-10: 9814335231
Pagini: 546
Ilustrații: Illustrations
Dimensiuni: 155 x 231 x 33 mm
Greutate: 0.95 kg
Ediția:3 Rev ed.
Editura: WORLD SCIENTIFIC
ISBN-10: 9814335231
Pagini: 546
Ilustrații: Illustrations
Dimensiuni: 155 x 231 x 33 mm
Greutate: 0.95 kg
Ediția:3 Rev ed.
Editura: WORLD SCIENTIFIC
Cuprins
Basic Methods: Seven Is More Than Six. The Pigeon-Hole Principle; One Step at a Time. The Method of Mathematical Induction; Enumerative Combinatorics: There Are a Lot of Them. Elementary Counting Problems; No Matter How You Slice It. The Binomial Theorem and Related Identities; Divide and Conquer. Partitions; Not So Vicious Cycles. Cycles in Permutations; You Shall Not Overcount. The Sieve; A Function is Worth Many Numbers. Generating Functions; Graph Theory: Dots and Lines. The Origins of Graph Theory; Staying Connected. Trees; Finding a Good Match. Coloring and Matching; Do Not Cross. Planar Graphs; Horizons: Does It Clique? Ramsey Theory; So Hard to Avoid. Subsequence Conditions on Permutations; Who Knows What It Looks Like, but It Exists. The Probabilistic Method; At Least Some Order. Partial Orders and Lattices; The Sooner The Better. Combinatorial Algorithms; Does Many Mean More Than One? Computational Complexity.
Recenzii
Bona's book is an excellent choice for anyone who wants an introduction to this beautiful branch of mathematics ... Plentiful examples illustrate each of the topics included in the book. Bona does a supreme job of walking us through combinatorics."Choice