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Sinopsis
This book is 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 book provides a more complete theory, the result of research conducted during the subsequent 15 years. It contains a clear introduction to selected topics from 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 current 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 familiarize 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.
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'... explains a very broad spectrum of notions and results in modern algebra ... fills a gap in mathematical literature.?
Reseña del editor
This book is 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 book provides a more complete theory, the result of research conducted during the subsequent 15 years. It contains a clear introduction to selected topics from 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 current 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 familiarize 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.
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Modes
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World Scientific Publishing Company, 2002
ISBN 10: 981024942X
ISBN 13: 9789810249427
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MODES
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World Scientific Publishing Company, 2002
ISBN 10: 981024942X
ISBN 13: 9789810249427
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Modes
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Modes
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Modes
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ISBN 13: 9789810249427
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Modes
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Condición: New. KlappentextrnrnAn introduction to the theory and application of modes in mathematics. It addresses selected topics regarding universal algebra, category theory and model theory, and the foundations of the theory of modes, as well as more advance. Nº de ref. del artículo: 909656922
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Modes
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Buch. Condición: Neu. Neuware - This book is 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 book provides a more complete theory, the result of research conducted during the subsequent 15 years. It contains a clear introduction to selected topics from 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 current 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 familiarize 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. Nº de ref. del artículo: 9789810249427
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