The geometry of physics : an introduction / Theodore Frankel.

  • 3rd ed.
  • Cambridge : Cambridge University Press 2012
Physical description
1 online resource (lxii, 686 pages) : digital, PDF file(s).
  • 1-139-06137-2
  • 1-139-15315-3
  • 1-283-34120-4
  • 1-139-16074-5
  • 9786613341204
  • 1-139-16174-1
  • 1-139-15617-9
  • 1-139-15793-0
  • 1-139-15969-0
  • Title from publisher's bibliographic system (viewed on 18 Jul 2016).
  • Includes bibliographical references and index.
  • Reproduction available: Electronic reproduction. Ann Arbor, MI : ProQuest, 2016. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries.
  • English
  • Description based on a 2014 printing.
  • Recomendada
  • Overview: an informal overview of Cartan's exterior differential forms, illustrated with an application to Cauchy's stress tensor -- t I. Part I: Manifolds and vector fields -- Tensors and exterior forms -- Integration of differential forms -- The Lie derivative -- The Poincare Lemma and potentials -- Holonomic and nonholonomic constraints --Part II: Geometry and topology -- R3 and Minkowski space -- The geometry of surfaces in R3 -- Covariant differentiation and curvature -- Geodesics -- Relativity, tensors, and curvature -- Curvature and topology: Synge's theorem -- Betti numbers and De Rham's theorem -- Harmonic forms -- Part III: Lie Groups -- Vector bundles in geometry and physics -- Fiber bundles, Gauss-Bonnet, and topological quantization -- Connections and associated bundles -- The Dirac equation -- Yang-Mills fields -- Betti numbers and covering spaces -- Chern forms and homotopy groups.
Other names
Related item
  • Electronic books.
  • text
  • English


  • This book provides a working knowledge of those parts of exterior differential forms, differential geometry, algebraic and differential topology, Lie groups, vector bundles and Chern forms that are essential for a deeper understanding of both classical and modern physics and engineering. Included are discussions of analytical and fluid dynamics, electromagnetism (in flat and curved space), thermodynamics, the Dirac operator and spinors, and gauge fields, including Yang-Mills, the Aharonov-Bohm effect, Berry phase and instanton winding numbers, quarks and quark model for mesons. Before discussing abstract notions of differential geometry, geometric intuition is developed through a rather extensive introduction to the study of surfaces in ordinary space. The book is ideal for graduate and advanced undergraduate students of physics, engineering or mathematics as a course text or for self study. This third edition includes an overview of Cartan's exterior differential forms, which previews many of the geometric concepts developed in the text.

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University of Bath Library Online location
University of Bath Library Online location
University of Birmingham Libraries: Main Library, Collection QC20.7.D52 F73
University of Bristol Libraries: Physics Library 02.40 FRA 7 day loan: vacation loan
British Library: General Reference Collection, St Pancras Reading Rooms YK.2012.a.2980
University of Cambridge Libraries: Moore Library: Main Library QC20.7.D52 .F73 2012
University of Cambridge Libraries: Fitzwilliam College Library: Floor 0 B2T S Fra(3)
University of Cambridge Libraries: Rayleigh Library: Main Library 12 F 30i
University of Cambridge Libraries: Murray Edwards College (Rosemary Murray Library): Main Library 530.15 FRA
University of Cambridge Libraries: Hughes Hall Library: Main Library 530.15636 FRA
University of Cambridge Libraries: Gonville and Caius College Library: Upper Library 530.156 F
Cardiff Metropolitan University Online location
City, University of London Online location Open ebook
University of Dundee: Main Library 530.156 36 F 829
Durham University Library Online location
University of Edinburgh Libraries: Murray Library, King's Buildings (STANDARD LOAN) QC20.7.D52 Fra.
University of Essex: Request from store -- Store 2 QC 20.F7
University of Glasgow Library: University Library Level 5 Physics C10 2012-F
University of Liverpool Library Online location <img src="/screens/gifs/go4.gif" alt="Go button" border="0"width="21"height="21"hspace="7" align="middle">View this ebook online
University of Liverpool Library: Contact University of Liverpool Library 0
University of Manchester Library: Main Library: Blue Area Floor 2 530.15
National Library of Scotland: General Reading Room, Edinburgh (stored offsite) PB8.212.539/12
National Library of Wales / Llyfrgell Genedlaethol Cymru: Contact the National Library of Wales / Llyfrgell Genedlaethol Cymru PRINT 2012 MB 21392
University of Nottingham Libraries: George Green Library
University of Oxford Libraries: Christ Church Library XLV.4.391/2
University of Oxford Libraries: Hertford College Library E 29/FRA [3rd ed]
University of Oxford Libraries: Jesus College Library: Lower Meyricke Library Gallery A9 FRA
University of Oxford Libraries: Merton College Library: Old Warden's Lodgings BAN/FRA
University of Oxford Libraries: Radcliffe Science Library: Vere Harmsworth Library Stack QC20.7.D52 FRA 2012
University of Portsmouth: University Library, First Floor 530.15636 Standard
Queen's University Belfast: McClay Floor 3 QC20.7.D52
University of Reading Library: University Library: 3rd Floor 530.15636-FRA
Sheffield Hallam University Library Online location
Sheffield Hallam University Library Online location EBook central
University of Southampton Library Online location View online
University of Southampton Library: Internet Internet
Trinity College Dublin Library: Ussher Library PL-541-797
UCL Library Services: UCL Science Library PHYSICS C 5 FRA
University of Warwick Library: Main Library QA 641.F7