Bridging Algebra, Geometry, and Topology, Denis Ibadula; Willem Veys

Автор: Nakahara, M. (department Of Mathematics And Physic
Название: Geometry, topology and physics
ISBN: 0750306068 ISBN-13(EAN): 9780750306065
Издательство: Taylor&Francis
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Цена: 13779.00 р.
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Описание: Offers an introduction to the ideas and techniques of differential geometry and topology. This work starts with a brief survey of quantum field theory, gauge theory, general relativity, vector spaces, and topology. It also demonstrates elaborate concepts of topology and geometry, including fiber bundles, characteristic classes, and index theorems.

Автор: Thurston, William P.
Название: Three-dimensional geometry and topology
ISBN: 0691083045 ISBN-13(EAN): 9780691083049
Издательство: Wiley
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Цена: 17424.00 р.
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Описание: Hyperbolic geometry is the star. A strong effort has been made to convey not just denatured formal reasoning, but a living feeling for the subject. There are many figures, examples, and exercises of varying difficulty. This book develops some of the power of geometry in two and three dimensions, and the strong connection of geometry with topology.

Автор: Naber
Название: Topology, Geometry and Gauge fields
ISBN: 1441972536 ISBN-13(EAN): 9781441972538
Издательство: Springer
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Цена: 10480.00 р.
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Описание: This is a book on topology and geometry and, like any books on subjects as vast as these, it has a point-of-view that guided the selection of topics. Naber takes the view that the rekindled interest that mathematics and physics have shown in each other of late should be fostered and that this is best accomplished by allowing them to cohabit. The book weaves together rudimentary notions from the classical gauge theory of physics with the topological and geometrical concepts that became the mathematical models of these notions. We ask the reader to come to us with some vague notion of what an electromagnetic field might be, a willingness to accept a few of the more elementary pronouncements of quantum mechanics, a solid background in real analysis and linear algebra and some of the vocabulary of modern algebra. To such a reader we offer an excursion that begins with the definition of a topological space and finds its way eventually to the moduli space of anti-self-dual SU(2) connections on S4 with instanton number -1. Iwould go over both volumes thoroughly and make some minor changes in terminology and notation and correct any errors I find. In this new edition, a chapter on Singular Homology will be added as well as minor changes in notation and terminology throughout and some sections have been rewritten or omitted. Reviews of First Edition: “It is unusual to find a book so carefully tailored to the needs of this interdisciplinary area of mathematical physics...Naber combines a knowledge of his subject with an excellent informal writing style. (NZMS Newletter) ...this book should be very interesting for mathematicians and physicists (as well as other scientists) who are concerned with gauge theories. (Zentralblatt Fuer Mathematik)