Introduction to Combinatorics - Softcover

Berman, Gerald

Softcover

ISBN 10: 1483236129 ISBN 13: 9781483236124

Publisher: Academic Press, 2014

Synopsis

Introduction to Combinatorics focuses on the applications, processes, methodologies, and approaches involved in combinatorics or discrete mathematics. The book first offers information on introductory examples, permutations and combinations, and the inclusion-exclusion principle. Discussions focus on some applications of the inclusion-exclusion principle, derangements, calculus of sets, permutations, combinations, Stirling's formula, binomial theorem, regions of a plane, chromatic polynomials, and a random walk. The text then examines linear equations with unit coefficients, recurrence relations, and generating functions. Topics include derivatives and differential equations, solution of difference equations by means of generating functions, recurrence relations, summation method, difference methods, combinations with repetitions, solutions bounded below, and solutions bounded above and below. The publication takes a look at generating functions and difference equations, ramifications of the binomial theorem, finite structures, coloring problems, maps on a sphere, and geometry of the plane. The manuscript is a valuable reference for researchers interested in combinatorics.

Edition details

• Publisher: Academic Press
• Publication date: 2014
• Language: English
• ISBN 10: 1483236129
• ISBN 13: 9781483236124
• Binding: Paperback
• Number of pages: 314