Permutation Groups and Combinatorial Structures
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Permutation Groups and Combinatorial Structures by Norman L. Biggs
Book DescriptionThe 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.
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Book DetailsISBN: 9780521222877
(228mm x 152mm x 9mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 16-Aug-1979
Country of Publication: United Kingdom
Books By Author Norman L. Biggs
Discrete Mathematics, Hardback (December 2002)
The new edition of this text includes additional chapters on statements and proof, logical framework, and natural numbers and the integers. The updated chapters offer over 1000 tailored exercises, and an accompanying website contains hints and solutions to all exercises.
Mathematics for Economics and Finance, Paperback (July 1996)
An introduction to mathematical modelling in economics and finance.
Algebraic Graph Theory, Paperback (February 1994)
A revision of an important textbook: essential reading for all combinatorialists.
Graph Theory, 1736-1936, Paperback (December 1986)» View all books by Norman L. Biggs
Building on a set of original writings from some of the founders of graph theory, this book traces the historical development of the subject through a linking commentary. The relevant underlying mathematics is also explained, providing an introduction to the subject for students.
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