By (author) Norman L. Biggs
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Interaction Models by Norman L. Biggs
Book DescriptionThis 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 chapter 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 chapter are given at the end of the chapter.
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Book DetailsISBN: 9780521217705
(229mm x 152mm x 7mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 24-Nov-1977
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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