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050	0	0	_aQA641 _b.N35 2003
100	1		_aNakahara, Mikio. _949178
245	1	0	_aGeometry, Topology, and Physics / _cMikio Nakahara.
250			_a2nd ed.
260			_aBristol ; _aPhiladelphia : _bInstitute of Physics Publishing, _cc2003.
300			_axxii, 573 p. : _bill. ; _c24 cm.
440		0	_aGraduate student series in physics _949179
504			_aIncludes bibliographical references (p. 560-564) and index.
505			_aQuantum Physics. Mathematical Preliminaries. Homology Groups. Homotopy Groups. Manifolds. DeRham Cohomology Groups. Riemannian Geometry. Complex Manifolds. Fibre Bundles. Connections on Fibre Bundles. Characteristic Classes. Index Theorems. Anomalies in Gauge Field Theories. Bosonic String Theory. References. Index.
520			_aDifferential geometry and topology have become essential tools for many theoretical physicists. In particular, they are indispensable in theoretical studies of condensed matter physics, gravity, and particle physics.Geometry, Topology and Physics, Second Edition introduces the ideas and techniques of differential geometry and topology at a level suitable for postgraduate students and researchers in these fields. The second edition of this popular and established text incorporates a number of changes designed to meet the needs of the reader and reflect the development of the subject. The book features a considerably expanded first chapter, reviewing aspects of path integral quantization and gauge theories. Chapter 2 introduces the mathematical concepts of maps, vector spaces, and topology. The following chapters focus on more elaborate concepts in geometry and topology and discuss the application of these concepts to liquid crystals, superfluid helium, general relativity, and bosonic string theory. Later chapters unify geometry and topology, exploring fiber bundles, characteristic classes, and index theorems.New to this second edition is the proof of the index theorem in terms of supersymmetric quantum mechanics. The final two chapters are devoted to the most fascinating applications of geometry and topology in contemporary physics, namely the study of anomalies in gauge field theories and the analysis of Polakov's bosonic string theory from the geometrical point of view. Geometry, Topology and Physics, Second Edition is an ideal introduction to differential geometry and topology for postgraduate students and researchers in theoretical and mathematical physics.
650		0	_aGeometry, Differential. _9904
650		0	_aTopology. _92611
650		0	_aMathematical physics. _9905
942			_2lcc _n0 _cBK
999			_c23243 _d23243