The Resource Topology, geometry and Gauge fields : foundations, Gregory L. Naber
Topology, geometry and Gauge fields : foundations, Gregory L. Naber
Resource Information
The item Topology, geometry and Gauge fields : foundations, Gregory L. Naber represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Topology, geometry and Gauge fields : foundations, Gregory L. Naber represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Summary
 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 author's 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 Donaldson's beautiful application of gauge theory to the topology of compact, simply connected, smooth 4manifolds with definite intersection form. Reviews of the 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 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) "The 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 ..." (Mathematical Reviews)
 Language
 eng
 Edition
 2nd ed.
 Extent
 1 online resource (xx, 437 pages)
 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
 Isbn
 9781441972538
 Label
 Topology, geometry and Gauge fields : foundations
 Title
 Topology, geometry and Gauge fields
 Title remainder
 foundations
 Statement of responsibility
 Gregory L. Naber
 Language
 eng
 Summary
 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 author's 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 Donaldson's beautiful application of gauge theory to the topology of compact, simply connected, smooth 4manifolds with definite intersection form. Reviews of the 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 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) "The 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 ..." (Mathematical Reviews)
 Cataloging source
 GW5XE
 http://library.link/vocab/creatorDate
 1948
 http://library.link/vocab/creatorName
 Naber, Gregory L.
 Dewey number
 530.15
 Illustrations
 illustrations
 Index
 index present
 Language note
 English
 LC call number
 QC20.7.T65
 LC item number
 N33 2011
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 Texts in applied mathematics
 Series volume
 25
 http://library.link/vocab/subjectName

 Topology
 Geometry
 Gauge fields (Physics)
 Mathematical physics
 Gauge fields (Physics)
 Geometry
 Mathematical physics
 Topology
 Label
 Topology, geometry and Gauge fields : foundations, Gregory L. Naber
 Bibliography note
 Includes bibliographical references (pages 421424) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 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
 Control code
 670062407
 Dimensions
 unknown
 Edition
 2nd ed.
 Extent
 1 online resource (xx, 437 pages)
 Form of item
 online
 Isbn
 9781441972538
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9781441972545
 Other physical details
 illustrations.
 http://library.link/vocab/ext/overdrive/overdriveId
 9781441972538
 Specific material designation
 remote
 System control number
 (OCoLC)670062407
 Label
 Topology, geometry and Gauge fields : foundations, Gregory L. Naber
 Bibliography note
 Includes bibliographical references (pages 421424) and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 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
 Control code
 670062407
 Dimensions
 unknown
 Edition
 2nd ed.
 Extent
 1 online resource (xx, 437 pages)
 Form of item
 online
 Isbn
 9781441972538
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9781441972545
 Other physical details
 illustrations.
 http://library.link/vocab/ext/overdrive/overdriveId
 9781441972538
 Specific material designation
 remote
 System control number
 (OCoLC)670062407
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