Discrete mathematics with applications

Epp, Susanna S.

Discrete mathematics with applications by Susanna S. Epp. - 3rd ed. - Belmont : Thomson-Brooks, ©2004 - xix, 775, 116, 13 p. : ill. ; 27 cm.

Includes index.

Chapter 1 : The logic of compound statements Chapter 2 : The logic of quantified statements Chapter 3 : Elementary number theory and methods of proof Chapter 4 : Sequences, mathematical induction, and recursion Chapter 5 : Set theory Chapter 6 : Properties of functions Chapter 7 : Properties of relations Chapter 8 : Counting and probability Chapter 9 : Theory of graphs and trees Chapter 10 : Analysis of algorthm efficiency Chapter 11 : Regular expressions and finite-state automata Chapter 12 : Appendix A Properties of the real Numbers

This edition explains complex, abstract concepts with clarity and precision and provides a strong foundation for computer science and upper-level mathematics courses of the computer age. Author Susanna Epp presents not only the major themes of discrete mathematics, but also the reasoning that underlies mathematical thought. Students develop the ability to think abstractly as they study the ideas of logic and proof. While learning about such concepts as logic circuits and computer addition, algorithm analysis, recursive thinking, computability, automata, cryptography and combinatorics, students discover that the ideas of discrete mathematics underlie and are essential to today's science and technology.

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Mathematics.

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