Background
White, Arthur Thomas was born on October 7, 1939 in Orange, New Jersey, United States. Son of Addison Hughson and Elizabeth Carlisle (McCusker) White.
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book
Permutation Groups and Combinatorial Structures (London Mathematical Society Lecture Note Series) by Norman L. Biggs (1979-09-27)
http://www.amazon.com/gp/product/B01K2OVSZ4/?tag=2022091-20
Graphs of Groups on Surfaces: Interactions and Models
(The book, suitable as both an introductory reference and ...)
The book, suitable as both an introductory reference and as a text book in the rapidly growing field of topological graph theory, models both maps (as in map-coloring problems) and groups by means of graph imbeddings on sufaces. Automorphism groups of both graphs and maps are studied. In addition connections are made to other areas of mathematics, such as hypergraphs, block designs, finite geometries, and finite fields. There are chapters on the emerging subfields of enumerative topological graph theory and random topological graph theory, as well as a chapter on the composition of English church-bell music. The latter is facilitated by imbedding the right graph of the right group on an appropriate surface, with suitable symmetries. Throughout the emphasis is on Cayley maps: imbeddings of Cayley graphs for finite groups as (possibly branched) covering projections of surface imbeddings of loop graphs with one vertex. This is not as restrictive as it might sound; many developments in topological graph theory involve such imbeddings. The approach aims to make all this interconnected material readily accessible to a beginning graduate (or an advanced undergraduate) student, while at the same time providing the research mathematician with a useful reference book in topological graph theory. The focus will be on beautiful connections, both elementary and deep, within mathematics that can best be described by the intuitively pleasing device of imbedding graphs of groups on surfaces.
http://www.amazon.com/gp/product/0444546693/?tag=2022091-20
Graphs, Groups and Surfaces (Mathematics Studies)
http://www.amazon.com/gp/product/0720426081/?tag=2022091-20
Permutation Groups and Combinatorial Structures (London Mathematical Society Lecture Note Series)
(The subject of this book is the action of permutation gro...)
The subject of this book is the action of permutation groups on sets associated with combinatorial structures. Each chapter deals with a particular structure: groups, geometries, designs, graphs and maps respectively. A unifying theme for the first four chapters is the construction of finite simple groups. In the fifth chapter, a theory of maps on orientable surfaces is developed within a combinatorial framework. This simplifies and extends the existing literature in the field. The book is designed both as a course text and as a reference book for advanced undergraduate and graduate students. A feature is the set of carefully constructed projects, intended to give the reader a deeper understanding of the subject.
http://www.amazon.com/gp/product/0521222877/?tag=2022091-20
Arthur Thomas White
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Arthur Thomas White, American Mathematics educator. Recipient Michigan Teaching Excellence award, 1991; research grantee National Science Foundation, 1969, 73-74. lst Lieutenant United States Air Force, 1963-1965. Member American Mathematics Society, Mathematics Association American (distinguished teaching award Michigan section 1996), National Council Teachers Mathematics London Mathematics Society, Phi Beta Kappa.
Education
Bachelor, Oberlin College, 1961; Master of Science, Michigan State University, 1966; Doctor of Philosophy, Michigan State University, 1969.
Career
Actuarial trainee, Home Life Insurance Company. New York City, 1961-1962;
graduate assistant, fellow, Michigan State University, East Lansing, 1965-1969;
assistant professor, associate professor mathematics, Western Michigan U., Kalamazoo, 1969-1979;
professor, Western Michigan U., Kalamazoo, since 1979;
faculty teaching fellow, Western Michigan U., Kalamazoo, 1985-1986;
distinguished honorary professor, Western Michigan U., Kalamazoo, 1988-1989. Visiting professor Royal Holloway College, U. London, 1977-1978.
Visiting fellow Wolfson College Oxford (England) University, 1984-1985, visiting scholar, 1991-1992. Clarke-Benedict Williams lecturer Kalamazoo College, 1988. Mathematics Association American visiting lecturer, 1993-1996.
Achievements
Works
book
-
Graphs of Groups on Surfaces: Interactions and Models
(The book, suitable as both an introductory reference and ...)
-
Permutation Groups and Combinatorial Structures (London Mathematical Society Lecture Note Series)
(The subject of this book is the action of permutation gro...)
- Permutation Groups and Combinatorial Structures (London Mathematical Society Lecture Note Series) by Norman L. Biggs (1979-09-27)
- Graphs, Groups and Surfaces (Mathematics Studies)
-
Graphs of Groups on Surfaces: Interactions and Models
Membership
Lst Lieutenant United States Air Force, 1963-1965. Member American Mathematics Society, Mathematics Association American (distinguished teaching award Michigan section 1996), National Council Teachers Mathematics London Mathematics Society, Phi Beta Kappa.
Connections
Married ElizabethAnn Siber, July 1, 1961. Children: Toby Andrew, Terrence Adam.
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Born
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Nationality
American