Mathematics for Computer Science
by Eric Lehman, F Thomson Leighton, Albert R Meyer
Publisher: MIT 2010
Number of pages: 557
This text offers an introduction to Discrete Mathematics oriented toward Computer Science and Engineering. Topics covered: Fundamental concepts of Mathematics: definitions, proofs, sets, functions, elementary number theory; Discrete structures: graphs, counting; Discrete probability theory.
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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.
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This book introduces college students to the elementary theory of logic, sets, probability theory, and linear algebra and treats a number of applications either from everyday situations or from applications to the biological and social sciences.
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It gives thorough coverage to topics that have great importance to computer scientists and provides a motivating computer science example for each math topic. Contents: Counting; Cryptography and Number Theory; Reflections on Logic and Proof.
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.