Coverart for item
The Resource Topology, geometry and Gauge fields : foundations, Gregory L. Naber

Topology, geometry and Gauge fields : foundations, Gregory L. Naber

Label
Topology, geometry and Gauge fields : foundations
Title
Topology, geometry and Gauge fields
Title remainder
foundations
Statement of responsibility
Gregory L. Naber
Creator
Subject
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 anti-self-dual 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 4-manifolds 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)
Member of
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
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 421-424) 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
10.1007/978-1-4419-7254-5
Other physical details
illustrations.
http://library.link/vocab/ext/overdrive/overdriveId
978-1-4419-7253-8
Specific material designation
remote
System control number
(OCoLC)670062407
Label
Topology, geometry and Gauge fields : foundations, Gregory L. Naber
Publication
Bibliography note
Includes bibliographical references (pages 421-424) 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
10.1007/978-1-4419-7254-5
Other physical details
illustrations.
http://library.link/vocab/ext/overdrive/overdriveId
978-1-4419-7253-8
Specific material designation
remote
System control number
(OCoLC)670062407

Library Locations

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      38.944491 -92.326012
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