000			03330nam a22003858i 4500
001			CR9780511755590
003			UkCbUP
005			20200124160331.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			100422s2006||||enk o ||1 0|eng|d
020			_a9780511755590 (ebook)
020			_z9780521845076 (hardback)
020			_z9780521187961 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQC20.7.D52 _bF43 2006
082	0	4	_a530.15636 _222
100	1		_aFecko, Marián, _eauthor.
245	1	0	_aDifferential geometry and lie groups for physicists / _cMarián Fecko.
246	3		_aDifferential Geometry & Lie Groups for Physicists
264		1	_aCambridge : _bCambridge University Press, _c2006.
300			_a1 online resource (xv, 697 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	2	0	_gPreface -- _gIntroduction -- _tThe concept of a manifold -- _tVector and tensor fields -- _tMappings of tensors induced by mappings of manifolds -- _tLie derivative -- _tExterior algebra -- _tDifferential calculus of forms -- _tIntegral calculus of forms -- _tParticular cases and applications of Stokes' theorem -- _tPoincaré lemma and cohomologies -- _tLie groups: basic facts -- _tDifferential geometry on lie groups -- _tRepresentations of Lie groups and Lie algebras -- _tActions of Lie groups and Lie algebras on manifolds -- _tHamiltonian mechanics and symplectic manifolds -- _tParallel transport and linear connection of M.
505	0	0	_tField theory and the language of forms -- _tDifferential geometry on T M and T* M -- _tHamiltonian and Lagrangian equations -- _tLinear connection and the frame bundle -- _tConnection on a principal G-bundle -- _tGauge theories and connections -- _tSpinor fields and the Dirac operator -- _gAppendix _tA Some relevant algebraic structures -- _gAppendix B _tStarring.
520			_aDifferential geometry plays an increasingly important role in modern theoretical physics and applied mathematics. This textbook gives an introduction to geometrical topics useful in theoretical physics and applied mathematics, covering: manifolds, tensor fields, differential forms, connections, symplectic geometry, actions of Lie groups, bundles, spinors, and so on. Written in an informal style, the author places a strong emphasis on developing the understanding of the general theory through more than 1000 simple exercises, with complete solutions or detailed hints. The book will prepare readers for studying modern treatments of Lagrangian and Hamiltonian mechanics, electromagnetism, gauge fields, relativity and gravitation. Differential Geometry and Lie Groups for Physicists is well suited for courses in physics, mathematics and engineering for advanced undergraduate or graduate students, and can also be used for active self-study. The required mathematical background knowledge does not go beyond the level of standard introductory undergraduate mathematics courses.
650		0	_aGeometry, Differential.
650		0	_aLie groups.
650		0	_aMathematical physics.
776	0	8	_iPrint version: _z9780521845076
856	4	0	_uhttps://doi.org/10.1017/CBO9780511755590
999			_c522574 _d522572