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.
Home page url
Download or read it online for free here:
by A.F. Pixley - Harvey Mudd College
This text is an introduction to a selection of topics in discrete mathematics: Combinatorics; The Integers; The Discrete Calculus; Order and Algebra; Finite State Machines. The prerequisites include linear algebra and computer programming.
by Miguel A. Lerma
Summary of the course CS 310: Mathematical Foundations of Computer Science. It covers concepts of discreet mathematics and applications to computer science, logic and Boolean circuits, functions, sets, relations, databases, finite automata, and more.
by Harris Kwong - Open SUNY Textbooks
This textbook covers the standard topics in discrete mathematics: logic, sets, proof techniques, basic number theory, functions, relations, and elementary combinatorics. It explains and clarifies the unwritten conventions in mathematics.
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.