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Graph Theory in America - The First Hundred Years (Hardcover)
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Graph Theory in America - The First Hundred Years (Hardcover)
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How a new mathematical field grew and matured in America Graph
Theory in America focuses on the development of graph theory in
North America from 1876 to 1976. At the beginning of this period,
James Joseph Sylvester, perhaps the finest mathematician in the
English-speaking world, took up his appointment as the first
professor of mathematics at the Johns Hopkins University, where his
inaugural lecture outlined connections between graph theory,
algebra, and chemistry-shortly after, he introduced the word graph
in our modern sense. A hundred years later, in 1976, graph theory
witnessed the solution of the long-standing four color problem by
Kenneth Appel and Wolfgang Haken of the University of Illinois.
Tracing graph theory's trajectory across its first century, this
book looks at influential figures in the field, both familiar and
less known. Whereas many of the featured mathematicians spent their
entire careers working on problems in graph theory, a few such as
Hassler Whitney started there and then moved to work in other
areas. Others, such as C. S. Peirce, Oswald Veblen, and George
Birkhoff, made excursions into graph theory while continuing their
focus elsewhere. Between the main chapters, the book provides short
contextual interludes, describing how the American university
system developed and how graph theory was progressing in Europe.
Brief summaries of specific publications that influenced the
subject's development are also included. Graph Theory in America
tells how a remarkable area of mathematics landed on American soil,
took root, and flourished.
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