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William Tutte, one of the founders of modern graph theory, provides a unique and personal introduction to the field. Instead of a typical survey, the author looks back at the areas which interested him most, discussing why he pursued certain problems and how he and his colleagues solved them. The book's extensive references make it a useful starting point for research as well as an important document for anyone interested in the history of graph theory. The author begins with the problems he worked on as an undergraduate at Cambridge and goes on to cover subjects such as combinatorial problems in chess, algebra in graph theory, reconstruction of graphs, symmetry in graphs, and the chromatic eigenvalues. In each case he mixes fascinating historical and biographical information with engaging descriptions of important results.
This book investigates the development of modern graph theory through the personal research trajectory and mathematical insights of one of its primary founders. W. T. Tutte, a seminal figure in the field, utilizes his own academic history to frame the evolution of specific graph-theoretic problems. By detailing his undergraduate work at Cambridge and subsequent professional inquiries, he provides a contextualized overview of how complex mathematical challenges were approached and resolved by his generation of mathematicians.
What You Will Find
Experts recognize this work as a significant historical document that provides unique insight into the creative process of a major mathematician. Readers frequently note that while the text is accessible to those with a background in mathematics, it serves primarily as a reflective and scholarly account rather than a standard introductory textbook.
Page Count:
168
Publication Date:
1998-08-13
Publisher:
Clarendon Press
ISBN-10:
0198502516
ISBN-13:
9780198502517
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