Discrete Mathematics with Algorithms
by M. O. Albertson, J. P. Hutchinson
Publisher: J. Wiley 1988
Number of pages: 560
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 (especially by induction), and an introduction to algorithmic problem-solving. All algorithms are presented in English, in a format compatible with the Pascal programming language.
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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.
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 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 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.