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Topology, Geometry and Gauge fields (Record no. 22892)

000 -LEADER
fixed length control field 04201nam a22004335i 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20140310151445.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 110321s2011 xxu| s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781441978950
978-1-4419-7895-0
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA440-699
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 516
Edition number 23
264 #1 -
-- New York, NY :
-- Springer New York,
-- 2011.
912 ## -
-- ZDB-2-SMA
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Naber, Gregory L.
Relator term author.
245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE
Title Topology, Geometry and Gauge fields
Medium [electronic resource] :
Remainder of title Interactions /
Statement of responsibility, etc by Gregory L. Naber.
300 ## - PHYSICAL DESCRIPTION
Extent XII, 420 p.
Other physical details online resource.
440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE
Title Applied Mathematical Sciences,
International Standard Serial Number 0066-5452 ;
Volume number/sequential designation 141
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Preface -- Acknowledgements -- Geometrical Background -- Physical Motivation -- Frame Bundles and Spacetime -- Differential Forms and Integration Introduction -- de Rham Cohomology Introduction -- Characteristic Classes -- Appendix -- References -- Symbols -- Index.
520 ## - SUMMARY, ETC.
Summary, etc This volume is intended to carry on the program, initiated in Topology, Geometry, and Gauge Fields: Foundations (Springer, 2010), of exploring the interrelations between particle physics and topology that arise from their shared notion of a gauge field. The text begins with a synopsis of the geometrical background  assumed of the reader (manifolds, Lie groups, bundles, connections, etc.). There follows a lengthy, and somewhat informal discussion of a number of the most basic of the classical gauge theories arising in physics, including classical electromagnetic theory and Dirac monopoles, the Klein-Gordon and Dirac equations and SU(2) Yang-Mills-Higgs theory. The real purpose here is to witness such things as spacetime manifolds, spinor structures, de Rham cohomology, and Chern classes arise of their own accord in meaningful physics. All of these are then developed rigorously in the remaining chapters. With the precise definitions in hand, one can, for example, fully identify magnetic charge and instanton number with the Chern numbers of the bundles on which the charge and instanton live, and uncover the obstruction to the existence of a spinor structure in the form of the second Stiefel-Whitney class.  This second edition of the book includes, in an Appendix, a much expanded sketch of Seiberg-Witten gauge theory, including a brief discussion of its origins in physics and its implications for topology.  To provide the reader with the opportunity to pause en route and join in the fun, there are 228 exercises, each an integral part of the development and each located at precisely the point at which it can be solved with optimal benefit. Reviews of first edition: “Naber’s goal is not to teach a sterile course on geometry and topology, but rather to enable us to see the subject in action, through gauge theory.” (SIAM Review)  “The presentation … is enriched by detailed discussions about the physical interpretations of connections, their curvatures and characteristic classes. I particularly enjoyed Chapter 2 where many fundamental physical examples are discussed at great length in a reader friendly fashion.  No detail is left to the reader’s imagination or interpretation.  I am not aware of another source where these very important examples and ideas are presented at a level accessible to beginners.” (Mathematical Reviews)                                                                                             
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
Topical term or geographic name as entry element Combinatorics.
Topical term or geographic name as entry element Geometry.
Topical term or geographic name as entry element Mathematics.
Topical term or geographic name as entry element Geometry.
Topical term or geographic name as entry element Theoretical, Mathematical and Computational Physics.
Topical term or geographic name as entry element Combinatorics.
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9781441978943
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://dx.doi.org/10.1007/978-1-4419-7895-0
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Item type E-Book
Copies
Price effective from Permanent location Date last seen Not for loan Date acquired Source of classification or shelving scheme Koha item type Damaged status Lost status Withdrawn status Current location Full call number
2014-04-09AUM Main Library2014-04-09 2014-04-09 E-Book   AUM Main Library516