000			02577nam a2200313Ia 4500
003			OSt
005			20250406020503.0
008			250212b |||||||| |||| 00| 0 eng d
020			_a9780750306065
020			_a9780367898380 (hbk.) _c₹ 3495.00
040			_bENG _cIISER-BPR
041			_aENG
082			_a530.15 _bBER _223rd
100			_aNakahara, Mikio _92825
222			_aPhysics
245		0	_aGeometry, topology and physics
250			_a2nd ed.
260			_aNew York, _bCRC Press, _cc2003.
300			_axxii, 573p. : _bill. ; _c22cm
440			_aGraduate Student Series in Physics _92826
504			_aIncludes bibliographic references and subject 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			_aPhysics _92827
650			_aDifferential geometry _92828
650			_aTopology _92829
650			_aMathematical physics _92830
942			_cBK _2ddc _02
942			_cBK _2ddc
999			_c3139 _d3139