Free PDF Graph Theory As I Have Known It (Oxford Lecture Series in Mathematics and Its Applications), by W. T. Tutte
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Graph Theory As I Have Known It (Oxford Lecture Series in Mathematics and Its Applications), by W. T. Tutte
Free PDF Graph Theory As I Have Known It (Oxford Lecture Series in Mathematics and Its Applications), by W. T. Tutte
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Graph Theory as I Have Known It provides a unique introduction to graph theory by one of the founding fathers, and will appeal to anyone interested in the subject. It is not intended as a comprehensive treatise, but rather as an account of those parts of the theory that have been of special interest to the author. Professor Tutte details his experience in the area, and provides a fascinating insight into how he was led to his theorems and the proofs he used. As well as being of historical interest it provides a useful starting point for research, with references to further suggested books as well as the original papers.
The book starts by detailing the first problems worked on by Professor Tutte and his colleagues during his days as an undergraduate member of the Trinity Mathematical Society in Cambridge. It covers subjects such as combinatorial problems in chess, the algebraicization of graph theory, reconstruction of graphs, and the chromatic eigenvalues. In each case fascinating historical and biographical information about the author's research is provided.
William Tutte (1917-2002) studied at Cambridge where his fascination for mathematical puzzles brought him into contact with like-minded undergraduates, together becoming known as the 'Trinity four', the founders of modern graph theory. His notable problem-solving skills meant he was brought to Bletchley Park during World War Two. Key in the enemy codebreaking efforts, he cracked the Lorenz cipher for which the Colossus machine was built, making his contribution comparable to Alan Turing's codebreaking for Enigma. Following his incredible war effort Tutte returned to academia and became a fellow of the Royal Society in Britain and Canada, finishing his career as Distinguished Professor Emeritus at the University of Waterloo, Ontario.
- Sales Rank: #2765341 in Books
- Published on: 2012-07-01
- Released on: 2012-07-01
- Original language: English
- Number of items: 1
- Dimensions: 6.10" h x .50" w x 9.20" l, .65 pounds
- Binding: Paperback
- 164 pages
Review
Review from previous edition: [T]he present book . . . is not a comprehensive treatise on graph theory but is restricted to those parts of the subject which Tutte himself researched, telling how he was led to his theorems and their proofs. . . For those of us who find much research-level mathematical literature heavy going, it is good to have this readable account of how some of the ideas developed." --Mathematical Reviews
"For over sixty years, Bill Tutte has worked in Graph Theory and he can truly be called the father of the subject...This fascinating book...reveals how he was led to many of the theorems and proofs for which he is famous." --Ralph Stanton, Canadian Mathematical Society book reviews
About the Author
William Tutte (1917-2002) studied at Cambridge where his fascination for mathematical puzzles brought him into contact with like-minded undergraduates, together becoming known as the 'Trinity four', the founders of modern graph theory. His notable problem-solving skills meant he was brought to Bletchley Park during World War Two. Key in the enemy codebreaking efforts, he cracked the Lorenz cipher for which the Colossus machine was built, making his contribution comparable to Alan Turing's codebreaking for Enigma. Following his incredible war effort Tutte returned to academia and became a fellow of the Royal Society in Britain and Canada, finishing his career as Distinguished Professor Emeritus at the University of Waterloo, Ontario.
Most helpful customer reviews
1 of 1 people found the following review helpful.
A very personal and human view of graph theory
By M. Welhan
This is a unique book. Tutte covers a collection of problems that interested him throughout all his years of studying graph theory, and the detective work that went into finding their solutions. Most start with or relate to the Trinity Four, his group of like-minded fellow undergraduates that conjectured about problems, most of which seem to have to boiled down into graph theory. The tales are fascinating in their recollection of how different ideas came together to form solutions. The solutions are all elegant and ingenious and a pleasure to behold in this explanatory light.
Most problems are presented requiring a minimal amount of background knowledge, though a certain degree of mathematical maturity is required (and necessary to fully appreciate things), and having a taken a course on graph theory would ease the digestion of some parts. Owing to the informal discourse, there is no dense theorem-proof-theorem-... division of the material. Rather, it is organized by some sort of problem-(fiddling around)-inspiration-(fiddling around)-eureka! format. But, Tutte keeps everything rigorous and easy to follow. Though, when things would get too tangentially technical, he resorts to illustrative examples. The references are complete, so anyone looking for more detail is taken care of.
I believe most aspiring graph theorists would benefit from and relish this book by a master of the subject (and a grandfather to much of it).
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