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 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 C. D. H. Cooper - Macquarie University
This is a text on discrete mathematics. It includes chapters on logic, set theory and strings and languages. There are some chapters on finite-state machines, some chapters on Turing machines and computability, and a couple of chapters on codes.
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.