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13 of 14 people found the following review helpful:
5.0 out of 5 stars
Wonderful book!, March 24, 2000
By A Customer
This review is from: Mathematics: A Discrete Introduction (Hardcover)
This book is very clear. It explains most of the fundamentals of discrete mathematics, including logic, combinatorics, graph theory, probability, number theory, cryptography, and more. Things are clearly explained, and students are taught the basics of proof writing. Proof templates give the reader a skeleton for different proofs (such as direct, contradiction, induction, contrapositive, etc.). A great book!
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8 of 8 people found the following review helpful:
5.0 out of 5 stars
Simplistic explanation for complex material, January 22, 2000
This review is from: Mathematics: A Discrete Introduction (Hardcover)
This book explains, with simple examples complex material. He includes proof templates, that are helpful in the understanding of the material.
I would not recommend for Below College level.
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11 of 12 people found the following review helpful:
5.0 out of 5 stars
We use it for our discrete course, March 12, 2006
Discrete mathematics is now a keystone course in the computer science major and a fundamental course in the mathematics major. The mathematics covered in the course is still somewhat open to interpretation, but far less than it has been in the past. I examined this book for possible use as a textbook and ended up recommending that it be used. At this time, it is the book being used for the discrete mathematics class at the college where I am employed.
It begins with a short explanation of what a mathematical proof is and some simple examples are given. Chapter 2 is called collections and covers lists, the basics of set theory and quantifiers. The next chapter covers counting and relations and chapter four is a more complex examination of the nature of mathematical proof. The remaining chapters are:
Chapter 5: Functions
Chapter 6: Probability
Chapter 7: Number theory
Chapter 8: Algebra
Chapter 9: Graphs
Chapter 10: Partially ordered sets
The coverage is complete, the writing is understandable and there are plenty of exercises at the end of the chapters. Solutions to many of the problems are found in appendices.
A sound introduction to discrete mathematics, this is a book that I can heartily recommend for use as a textbook. It covers what we in the department feel must be covered.
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