interaction models: course given at royal holloway college [pdf]
Interaction Models: Royal Holloway College, University of London, October-December 1976 by Norman L. Biggs
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About this book :-
Norman L. Biggs.
This book is based on a set of lectures given to a mixed audience of physicists and mathematicians. The desire to be intelligible to both groups is the underlying preoccupation of the author. Physicists nowadays are particularly interested in phase transitions. The typical situation is that a system of interacting particles exhibits an abrupt change of behaviour at a certain temperature, although the local forces between the particles are thought to be smooth functions of temperature. This account discusses the theory behind a simple model of such phenomena. An important tool is the mathematical discipline known as the Theory of Graphs. There are five chapters, each subdivided into sections. The first
is intended as a broad introduction to the subject, and it is written in a more informal manner than the rest. Notes and references for each are given at the end of the chapter.
Book Detail :-
Title: Interaction Models
Author(s): Norman L. Biggs
Publisher: Cambridge University Press
Series: London Mathematical Society lecture note series
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About Author :-
The author Norman L. Biggs was a lecturer at University of Southampton, lecturer then reader at Royal Holloway, University of London, and Professor of Mathematics at the London School of Economics. He has been on the editorial board of a number of journals, including the Journal of Algebraic Combinatorics. He has been a member of the Council of the London Mathematical Society.
He has written 12 books and over 100 papers on mathematical topics, many of them in algebraic combinatorics and its applications. He became Emeritus Professor in 2006 and continue to teach History of Mathematics in Finance and Economics for undergraduates. He is also Vice-President of the British Society for the History of Mathematics.
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Book Contents :-
Norman L. Biggs
cover the following topics.
Notes and references
Appendix A: Distributive identities
Appendix B: The Perron-Frobenius theorem
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