000 01953nam a2200289Ia 4500
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020 _a0521539277
037 _cTextbook
040 _aCSL
_beng
_cCSL
041 _aeng
084 _aB6:30bC P4 TB
_qCSL
100 _aFrankel, Theodore
_9862528
245 0 _aGeometry of physics: an introdction
250 _a2nd
260 _aCambridge,
_bCambridge University Press:
_c2004.
300 _axxvi, 694p.
_b: ill.
500 _aAppendix A-E, 617-675p.; References 679-681p.; Index 683-694p.
520 _ahis 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 deformation tensors of elasticity, soap films, special and general relativity, 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; consequently, the book should be of interest also to mathematics students. Ideal for graduate and advanced undergraduate students of physics, engineering and mathematics as a course text or for self study.
650 _aMathematical
_9862529
650 _aPhysics
_9862530
650 _aGeometry
_9862531
700 _aFrankel, Theodore
_9862528
942 _hB6:30bC P4 TB
_cTB
_2CC
_n0
999 _c40196
_d40196