Discrete Mathematics: Introduction to Mathematical Reasoning

Front Cover
Cengage Learning, Jul 18, 2014 - Mathematics - 648 pages
2 Reviews
Susanna Epp's DISCRETE MATHEMATICS: AN INTRODUCTION TO MATHEMATICAL REASONING, provides the same clear introduction to discrete mathematics and mathematical reasoning as her highly acclaimed DISCRETE MATHEMATICS WITH APPLICATIONS, but in a compact form that focuses on core topics and omits certain applications usually taught in other courses. The book is appropriate for use in a discrete mathematics course that emphasizes essential topics or in a mathematics major or minor course that serves as a transition to abstract mathematical thinking. The ideas of discrete mathematics underlie and are essential to the science and technology of the computer age. This book offers a synergistic union of the major themes of discrete mathematics together with the reasoning that underlies mathematical thought. Renowned for her lucid, accessible prose, Epp explains complex, abstract concepts with clarity and precision, helping students develop the ability to think abstractly as they study each topic. In doing so, the book provides students with a strong foundation both for computer science and for other upper-level mathematics courses.
Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
 

What people are saying - Write a review

User Review - Flag as inappropriate

Thanks for this book. This is a good book

User Review - Flag as inappropriate

Good book. Very Helpful.

Contents

Speaking Mathematically
1
The Logic of Compound Statements
23
The Logic of Quantified Statements
63
Elementary Number Theory and Methods of Proof
109
Sequences Mathematical Induction and Recursion
171
Set Theory
249
Functions
294
Relations
345
Counting and Probability
403
Graphs and Trees
476
Properties of the Real Numbers
A-1
Solutions and Hints to Selected Exercises
A-4
Index
I-1
Credits
I-15
Copyright

Other editions - View all

Common terms and phrases

About the author (2014)

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 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 has published a number of articles and given many talks related to this topic. She has also spoken widely on discrete mathematics and has 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. 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.

Bibliographic information