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Discrete Mathematics Through Applications

Discrete Mathematics Through Applications

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Authors: Nancy Crisler, Patience Fisher, Gary Froelich
Publisher: W. H. Freeman
Category: Book

Buy New: $26.50



New (8) Used (19) from $25.37

Rating: 2.5 out of 5 stars 2 reviews
Sales Rank: 498221

Media: Hardcover
Edition: Second Edition
Pages: 544
Number Of Items: 1
Shipping Weight (lbs): 2.5
Dimensions (in): 8.8 x 6.7 x 1.2

ISBN: 0716736527
Dewey Decimal Number: 510
EAN: 9780716736523

Publication Date: July 30, 1999
Availability: Usually ships in 1-2 business days

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Customer Reviews:

3 out of 5 stars Good for high school students, but not much else.   August 30, 2003
9 out of 9 found this review helpful

Discrete Mathematics Through Applications is a book designed to introduce high school students without much previous mathematical knowledge how to use discrete mathematics in the "real world." Each chapter begins with an activity for student groups to participate in, a few--usually two or three--examples, and a set of exercises to be worked out by the student on their own. The book gradually gets the user used to mathematical notation and inductive thinking and soon it comes instinctively. The chapters are as follows: Election Theory; Fair Division; Matrix Operations and Applications; Graphs and Their Applications; More Graphs, Subgraphs, and Trees; Counting and Probability; Matrices Revisited; and Recursion. Each of those chapters are organized into 5-6 subsections and a review. Among those sections include: graph coloring, euler circuits & paths, markov chains, group-ranking methods, and minimum spanning trees.

The biggest complaint I have about this book is that it weaves around too much. If you are already familiar with a concept or you figure it out half-way through the chapter, too bad! You have to keep reading because all of the exercises are based around the activities at the beginning of the chapter. Sometimes, the exercises even reference previous activities. That can get very frustrating.

I guess the authors' intentions were good, trying to take an activity-based approach to the learning of math, but in the end, it just missed the mark. I am someone who prefers to figure things out, and this book really holds your hand too much. However, if you are not exactly famous for your high notes in math, this book could help immensely.


2 out of 5 stars Coverage is not standard for a discrete text   February 25, 2006
Charles Ashbacher (Marion, Iowa United States(cashbacher@yahoo.com))
3 out of 3 found this review helpful

I teach a discrete mathematics course at the college level and have examined many discrete mathematics books looking for a suitable textbook. Quite frankly, this one is at the bottom of my list of selections as a text. Set theory, logic and functions are not given separate chapters. The book starts with chapters on election theory and fair division, topics that are not generally considered within the venue of discrete mathematics.
The chapters are:

*) Election theory.
*) Fair division.
*) Matrix operations and applications.
*) Graphs and their applications.
*) More graphs, subgraphs and trees.
*) Counting and probability.
*) Matrices revisited.
*) Recursion.

While the material on matrices and graphs is suitable, the emphasis is too great. In my opinion, spending time on the applications in this book is not a suitable use of time. There are so many other, more critical topics that students need to be exposed to.


 

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