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Synopsis
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, Eu
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5 of 5 people found the following review helpful
Format:Paperback
Although it's an "introduction", this gem of a book ends up in some quite deep territory. Trudeau starts off with some basic definitions of set theory concepts and then moves forward to define graphs in those terms.
Concepts such as planarity, connectedness, polygonality and colourings are quickly and smoothly reached, and the back end of the book covers genuses (which I thought was pretty incongruous for an "introduction"). Proofs of the Five Colour Theorem and the Heawood Colouring Theorem are included, as well as demonstrations of Euler's Formulae and Kuratowski's Theorem.
Trudeau's style is completely non-indimidating and patient - almost conversational - and he conveys a real enjoyment of the subject. Non-mathematicians will be able to follow almost all of his arguments quite easily and, for this reason above all others, he deserves 5 stars.
P.S. I spotted quite a large howler towards the end of the book: the Four Colour Theorem is stated as having "just been proved" - it was proven in 1977, which goes to show how old this book is!
Concepts such as planarity, connectedness, polygonality and colourings are quickly and smoothly reached, and the back end of the book covers genuses (which I thought was pretty incongruous for an "introduction"). Proofs of the Five Colour Theorem and the Heawood Colouring Theorem are included, as well as demonstrations of Euler's Formulae and Kuratowski's Theorem.
Trudeau's style is completely non-indimidating and patient - almost conversational - and he conveys a real enjoyment of the subject. Non-mathematicians will be able to follow almost all of his arguments quite easily and, for this reason above all others, he deserves 5 stars.
P.S. I spotted quite a large howler towards the end of the book: the Four Colour Theorem is stated as having "just been proved" - it was proven in 1977, which goes to show how old this book is!
1 of 1 people found the following review helpful
Format:Paperback
Having never encountered graph theory before, I decided to purchase this book. It is a delight to read, and progresses very gently through the subject. The author has targted this book at people who don't necessarily want to get bogged down with heavy math jargon, and any jargon delivered is introduced very nicely with great explanations.
The book is a small paperback so very transportable. A dedicated reader could probably swallow the contents of this book in a few days.
The book is a small paperback so very transportable. A dedicated reader could probably swallow the contents of this book in a few days.
1 of 3 people found the following review helpful
Format:Paperback
Nice and clean introduction to graph theory. Very useful to everyone that is starting on this subject.
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