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 Jean Gallier - arXiv
These are notes on discrete mathematics for computer scientists. The presentation is somewhat unconventional. I emphasize partial functions more than usual, and I provide a fairly complete account of the basic concepts of graph theory.
by Alexander I. Bobenko (ed.) - Springer
This is the book on a newly emerging field of discrete differential geometry. It surveys the fascinating connections between discrete models in differential geometry and complex analysis, integrable systems and applications in computer graphics.
by J. G. Kemeny, J. L. Snell, G. L. Thompson - Prentice-Hall
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.
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.