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In writing this book, I was guided by my long-standing experience and interest in teaching discrete mathematics. For the student, my purpose was to present material in a precise, readable manner, with the concepts and techniques of discrete mathematics clearly presented and demonstrated. My goal was to show the relevance and practicality of discrete mathematics to students, who are often skeptical. I wanted to give students studying computer science all of the mathematical foundations they need for their future studies. I wanted to give mathematics students an understanding of important mathematical concepts together with a sense of why these concepts are important for applications. And most importantly, I wanted to accomplish these goals without watering down the material.For the instructor, my purpose was to design a flexible, comprehensive teaching tool using proven pedagogical techniques in mathematics. I wanted to provide instructors with a package of materials that they could use to teach discrete mathematics effectively and efficiently in the most appropriate manner for their particular set of students. I hope that I have achieved these goals.
I have been extremely gratified by the tremendous success of this text. The many improvements in the sixth edition have been made possible by the feedback and suggestions of a large number of instructors and students at many of the more than 600 schools where this book has been successfully used. There are many enhancements in this edition. The companion website has been substantially enhanced and more closely integrated with the text, providing helpful material to make it easier for students and instructors to achieve their goals. This text is designed for a one- or two-term introductory discrete mathematics course taken by students in a wide variety of majors, including mathematics, computer science, and engineering. College algebra is the only explicit prerequisite, although a certain degree of mathematical maturity is needed to study discrete mathematics in a meaningful way.
Content:-
Preface
The Math Zone Companion Website
To the Student
1. The Foundations: Logic and Proofs
2. Basic Structures: Sets, Functions, Sequences, and Sums
3. The Fundamentals: Algorithms, the Integers, and Matrices
4. Induction and Recursion
5. Counting
6. Discrete Probability
7. Advanced Counting Techniques
8. Relations
9. Graphs
10. Trees
11. Boolean Algebra
12. Modeling Computation
Appendixes
Suggested Readings
Answers to Odd-Numbered Exercises
Photo Credits
Index of Biographies
Index
Author Details
"Kenneth H. Rosen" has had a long career as a Distinguished Member of the Technical Staff at AT&T Laboratories in Monmouth County, New Jersey. He currently holds the position of visiting research professor at Monmouth University where he is working on the security and privacy aspects of the Rapid Response Database Project and where he is teaching a course on cryptographic applications.
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