English Title : Discrete Mathematics with Applications 5th Edition
عنوان فارسی : ریاضیات گسسته با برنامه های کاربردی
Description
DISCRETE MATHEMATICS WITH APPLICATIONS, 5th 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.
Table of contents
Chapter 1: Speaking Mathematically
Chapter 2: The Logic of Compound Statements
Chapter 3: The Logic of Quantified Statements
Chapter 4: Elementary Number Theory and Methods of Proof
Chapter 5: Sequences, Mathematical Induction, and Recursion
Chapter 6: Set Theory
Chapter 7: Properties of Functions
Chapter 8: Properties of Relations
Chapter 9: Counting and Probability
Chapter 10: Theory of Graphs and Trees
Chapter 11: Analysis of Algorithm Efficiency
Chapter 12: Regular Expressions and Finite-State Automata
Susanna S. Epp received her Ph.D. in 1968 from the University of Chicago, taught briefly at Boston University and the University of Illinois at Chicago, and is currently Vincent DePaul Professor Emerita of Mathematical Sciences at DePaul University. After initial research in commutative algebra, she became interested in cognitive issues associated with teaching analytical thinking and proof and published a number of articles related to this topic, one of which was chosen for inclusion in The Best Writing on Mathematics 2012. She has spoken widely on discrete mathematics and organized sessions at national meetings on discrete mathematics instruction. In addition to Discrete Mathematics with Applications and Discrete Mathematics: An Introduction to Mathematical Reasoning, she is co-author of Precalculus and Discrete Mathematics, which was developed as part of the University of Chicago School Mathematics Project. The third edition of Discrete Mathematics with Applications received a Texty Award for Textbook Excellence in June 2005. Epp co-organized an international symposium on teaching logical reasoning, sponsored by the Institute for Discrete Mathematics and Theoretical Computer Science (DIMACS), and she was an associate editor of Mathematics Magazine from 1991 to 2001. Long active in the Mathematical Association of America (MAA), she is a co-author of the curricular guidelines for undergraduate mathematics programs: CUPM Curriculum Guide 2004. She received the Hay Award for Contributions to Mathematics Education in 2005 and the Award for Distinguished Teaching given by the Illinois Section of the MAA in 2010.
