Notes on Discrete Mathematics
by Miguel A. Lerma
Number of pages: 154
These notes are intended to be a summary of the main ideas in course CS 310: Mathematical Foundations of Computer Science which covers fundamental concepts and tools in discreet mathematics with emphasis on their applications to computer science. Topics include logic and Boolean circuits; sets, functions, relations, databases, and finite automata: deterministic algorithms, randomized algorithms, and analysis techniques based on counting methods and recurrence equations; trees and more general graphs.
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by Edward A. Bender, S. Gill Williamson - University of California, San Diego
In this book, four basic areas of discrete mathematics are presented: Counting and Listing, Functions, Decision Trees and Recursion, and Basic Concepts in Graph Theory. At the end of each unit is a list of Multiple Choice Questions for Review.
by Rupinder Sekhon - Connexions
Applied Finite Mathematics covers topics including linear equations, matrices, linear programming (geometrical approach and simplex method), the mathematics of finance, sets and counting, probability, Markov chains, and game theory.
by Vladlen Koltun - Stanford University
Contents: Sets and Notation; Induction; More Proof Techniques; Divisibility; Prime Numbers; Modular Arithmetic; Relations and Functions; Mathematical Logic; Counting; Binomial Coefficients; Inclusion-Exclusion Principle; Pigeonhole Principle; etc.
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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.