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Modes

By: Anna B Romanowska, Jonathan D H Smith

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Hardcover | 9 October 2002

At a Glance

Hardcover
636 Pages

Dimensions(cm)
22.86 x 15.88 x 3.18

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An introduction to the theory and application of modes -structures that capture the common underlying algebra of convex sets, affine spaces and certain ordered sets. Modes appear in many branches of mathematics, particularly geometry and combinatorics, and have been used in computer science, economics, physics and biology. The initial stage of the theory was set out in the authors' research monograph "Modal Theory" (published in 1985). The present text seeks to provide a more complete theory, the result of research conducted during the subsequent 15 years. It contains a clear introduction to selected topics regarding universal algebra, category theory and model theory, and the foundations of the theory of modes, as well as more advanced topics leading to the forefront of research in the field. The authors have included a wide range of exercises, usually placed at the end of the section, and indexed alphabetically. Some exercises are simply designed to familiarise readers with the notation and concepts. Others are more difficult, extending the content of the sections in which they appear, and providing a foretaste of further research.

Industry Reviews

'... explains a very broad spectrum of notions and results in modern algebra ... fills a gap in mathematical literature.?

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Preface
Preliminaries	p. 1
Algebras	p. 9
Categories of Algebras	p. 77
Varieties, Prevarieties and Quasivarieties	p. 105
Constructing Algebras and Quasivarieties	p. 181
Introduction to Modes	p. 235
Mal'cev Modes and Affine Spaces	p. 311
Subreducts of Affine Spaces	p. 365
Binary Modes	p. 439
Hierarchical Statistical Mechanics	p. 505
Recent Developments and Open Problems	p. 539
Bibliography	p. 563
Index of Symbols	p. 607
Index	p. 613
Table of Contents provided by Blackwell. All Rights Reserved.

Modes

At a Glance

Hardcover

Industry Reviews

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How to return your order

Defective items

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