by Herbert S. Wilf
Publisher: A K Peters, Ltd. 2006
Number of pages: 245
Generating functions, one of the most important tools in enumerative combinatorics, are a bridge between discrete mathematics and continuous analysis. Generating functions have numerous applications in mathematics, especially in: Combinatorics; Probability Theory; Statistics; Theory of Markov Chains; and Number Theory. One of the most important and relevant recent applications of combinatorics lies in the development of Internet search engines, whose incredible capabilities dazzle even the mathematically trained user.
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by Oscar Levin - University of Northern Colorado
This book was written to be used as the primary text for introduction to proof, as well as an introduction to topics in discrete mathematics. Contents: Counting; Sequences; Symbolic Logic and Proofs; Graph Theory; Generating Functions; and more.
by Eric Lehman, F Thomson Leighton, Albert R Meyer - MIT
An introduction to discrete mathematics oriented toward Computer Science and Engineering. Topics covered: Fundamental concepts of Mathematics: sets, functions, number theory; Discrete structures: graphs, counting; Discrete probability theory.
Discrete mathematics is the study of mathematical structures that are fundamentally discrete rather than continuous. This book will help you think well about discrete problems: problems where tools like calculus fail because there's no continuity.
by M. O. Albertson, J. P. Hutchinson - J. Wiley
This first-year course in discrete mathematics requires no calculus or computer programming experience. The approach stresses finding efficient algorithms, rather than existential results. Provides an introduction to constructing proofs...