Hardback : £121.00
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.
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.
1: Squaring the square
2: Knights errant
3: Graphs within graphs
4: Unsymmetrical electricity
5: Algebra in graph theory
6: Symmetry in graphs
7: Graphs on spheres
8: The Cats of Cheshire
9: Reconstruction
10: Planar enumeration
11: The chromatic eigenvalues
12: In conclusion
Bibliography
Index
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.
`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
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