A stimulating excursion into pure mathematics aimed at "the mathematically traumatized," but great fun for mathematical hobbyists and serious mathematicians as well. This 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, more. Includes exercises. 1976 edition.
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Most Helpful Customer Reviews
47 of 48 people found the following review helpful:
5.0 out of 5 stars
Nice Introduction,
By David Diez (Boston, MA) - See all my reviews
This review is from: Introduction to Graph Theory (Dover Books on Mathematics) (Paperback)
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.
15 of 17 people found the following review helpful:
5.0 out of 5 stars
A fascinating start into graph theory.,
By Larry Sue (larry@choraegus.com) (Mountain View, California, USA) - See all my reviews
This review is from: Introduction to Graph Theory (Dover Books on Mathematics) (Paperback)
Mr. Trudeau has done a fabulous job of introducing graph theory in a way which is understandable and intellectually provocative. He mentions that some of the problems are easy, and that some have been unsolved. In both cases, they both are fully illustrative of the subject matter. If you want to begin exploring graph theory, this book is for you!
3 of 3 people found the following review helpful:
4.0 out of 5 stars
Elementary yet comprehensive enough,
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This review is from: Introduction to Graph Theory (Dover Books on Mathematics) (Paperback)
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-remarks", which I find pedagogical.
Interspersed throughout the text are 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. 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.
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Citations (learn more)
11
books
cite this book:
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- Symmetry, Shape and Space by L.Christine Kinsey on page 392, page 400, and Back Matter
- Origami 3: Third International Meeting of Origami Science, Mathematics, and Education Sponsored by Origami USA by Thomas Hull on page 282
- Advances in Algebra: Proceedings of the Icm Satellite Conference in Algebra and Related Topics by K. P. Shum on page 281
- Graphs & Digraphs, Fourth Edition by Gary Chartrand in Back Matter
- Applied Combinatorics by Alan Tucker in Back Matter
See all 11 books citing this book
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