Introduction to Graph Theory (Dover Books on Advanced Mathematics) |  | Author: Richard J. Trudeau
Publisher: Dover Publications
List Price: $12.95
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Rating:  8 reviews
Sales Rank: 335640
Media: Paperback
Edition: 2nd
Pages: 224
Number Of Items: 1
Shipping Weight (lbs): 0.6
Dimensions (in): 8.3 x 5.3 x 0.5
ISBN: 0486678709
Dewey Decimal Number: 511.5
EAN: 9780486678702
ASIN: 0486678709
Publication Date: February 9, 1994
Availability: Usually ships in 1-2 business days
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Product Description
A stimulating excursion into pure mathematics aimed at "the mathematically traumatized," but great fun for mathematical hobbyists and serious mathematicians as well. Requiring only high school algebra as mathematical background, the book leads the reader from simple graphs through planar graphs, Euler’s formula, Platonic graphs, coloring, the genus of a graph, Euler walks, Hamilton walks, and a discussion of The Seven Bridges of Konigsberg. Exercises are included at the end of each chapter. "The topics are so well motivated, the exposition so lucid and delightful, that the book’s appeal should be virtually universal ... Every library should have several copies" — Choice 1976 edition.
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Showing reviews 1-5 of 8
 Elementary yet comprehensive enough November 10, 2009
Jose R. G. Mendonca (Santos, SP, Brazil)
This book introduces graph theory terminology and elementary results to the absolute beginner. It does a nice job of presenting the material in the format "motivation-example-definitions-theorem-proof", which I find inspiring.
Interspersed throughout the text is some historical remarks and a lot of author's personal opinions on what mathematics is or should be. This last piece of the text I liked least, since I do not agree with the author many times. He defends the position that "pure mathematics" is "real mathematics", and that "applied mathematics" follows from the "real thing" (he actually states this literally in the introduction of the book). This view has been debunked so many times along the history of the subject that it is quite irritating to see it expressed so categorically. Just think of the recent development of algebraic geometry to have a modern glimpse as how applied problems feed pure mathematics and provide (and proof) theorems.
But the book is not about math philosophy, so I recommend it as a warm up to those interested in more heavy-duty graph theory.
 Very Good Introduction March 8, 2009
Michael A. Chary (NYC)
1 out of 1 found this review helpful
This book provides a good but not rigorous great introduction to graph theory. The best audience is someone with mathematical ability but little education beyond high school or introductory math. That is, knowledge of analysis or higher is not required. Having finished this book, one could go on to the book entitled graph theory by the same publisher. It's hard to beat Dover's prices and selection for math books. The style of the book is conversational except for one more proof-oriented chapter. At the end of each chapter are graded problems with answers, a great plus for self-study.
Wonderful August 3, 2008
Dr Wollongong (Sydney, Australia)
1 out of 1 found this review helpful
Wonderful book to read! If you want to get started in graph theory, this is your first stop. Go through all the proofs and problems, and you're on your way!
Fun intro to graph theory November 22, 2006
A Lee (Tyler, TX United States)
2 out of 2 found this review helpful
I like this book as an intro to graph theory. I already had a little background in graph theory and a graduate degree in mathematics before I got this book, but I think that less experienced readers with an interest in pure math will enjoy this book. It's readable and conversational, and special attention is given to introducing pure mathematics and proof.
Nice Introduction December 24, 2004
David Diez (Los Angeles, CA)
32 out of 33 found this review helpful
One of the better Dover books I've picked up... but keep in mind it is a (very basic) introduction.
The book gives an introduction to graph theory (take the "introduction to" part of the title very seriously). To give an idea of the depth of this book, I read this book in about 6 hours prior to taking a course in graph theory (an undergraduate and graduate student mixed course), and the material in the book was covered in class in about 4 lectures (there were about 30 lectures in the course). This isn't to say the book isn't good (because it is), but I just have to emphasize it is a basic introduction.
What gives this book 5 stars is that it was written very well and made the material very interesting. I would recommend this book to someone looking to understand the very basics of graph theory, but I would not to someone looking for a thorough introduction to graph theory.
For reference, titles of chapters: 1) Pure Mathematics; 2) Graphs; 3) Planar Graphs; 4) Euler's Formula; 5) Platonic Graphs; 6) Coloring; 7) The Genus of a Graph; 8) Euler Walks and Hamilton Walks.
Showing reviews 1-5 of 8
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