Descripción física 
XX, 437 p. online resource. 

text txt rdacontent 

computer c rdamedia 

online resource cr rdacarrier 

text file PDF rda 
Colección 
Texts in Applied Mathematics, 09392475 ; 25


Texts in Applied Mathematics, 09392475 ;
25

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Springer eBooks. Mathematics and Statistics

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Contiene: 
Contents: Preface  Physical and geometrical motivation 1 Topological spaces  Homotopy groups  Principal bundles  Differentiable manifolds and matrix Lie groups  Gauge fields and Instantons. Appendix. References. Index. 
Resumen: 
This is a book on topology and geometry, and like any book on subjects as vast as these, it has a point of view that guided the selection of topics. The authoŕ鳠point of view is 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 goal is to weave together rudimentary notions from the classical gauge theories of physics and the topological and geometrical concepts that became the mathematical models of these notions. The reader is assumed to have a minimal understanding of what an electromagnetic field is, a willingness to accept a few of the more elementary pronouncements of quantum mechanics, and a solid background in real analysis and linear algebra with 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 antiselfdual SU(2)connections on S4 with instanton number 1. This second edition of the book includes a new chapter on singular homology theory and a new appendix outlining Donaldsoń鳠beautiful application of gauge theory to the topology of compact, simply connected , smooth 4manifolds with definite intersection form. Reviews of the first edition: ́쉴 is unusual to find a book so carefully tailored to the needs of this interdisciplinary area of mathematical physicś採ber combines a deep knowledge of his subject with an excellent informal writing style.́NZMS Newsletter) "...this book should be very interesting for mathematicians and physicists (as well as other scientists) who are concerned with gauge theories." (ZENTRALBLATT FUER MATHEMATIK) ́씨e book is well written and the examples do a great service to the reader. It will be a helpful companion to anyone teaching or studying gauge theory ́梀athematical Reviews). 
Materia 
Mathematics. 

Geometry. 

Topology. 

Elementary particles (Physics). 

Quantum field theory. 

Mathematics.

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Topology.

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Geometry.

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Elementary Particles, Quantum Field Theory.

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Autor secundario 
SpringerLink (Online service)

En 
Springer eBooks 
OTRO SOPORTE 
Printed edition: 9781441972538 
ISBN 
9781441972545 9781441972545 
ISBN/ISSN 
10.1007/9781441972545 doi 
