000			01931nam a2200313 i 4500
008			060503s2006 enka 001 0 eng
020			_a0521845076
020			_a9780521845076
040			_aUKM _cUKM _dBWKUK _dBAKER _dYDXCP _dIXA _dOSU _dBAUN _erda
049			_aBAUN_MERKEZ
050	0	4	_aQC20.7.D52 _bF43 2006
082	0	4	_222
100	1		_aFecko, Marián
245	1	0	_aDifferential geometry and lie groups for physicists / _cMarián Fecko
264		1	_aCambridge : _bCambridge University Press, _c2006.
300			_axv, 697 pages : _billustrations ; _c26 cm
336			_atext _btxt _2rdacontent
337			_aunmediated _bn _2rdamedia
338			_avolume _bnc _2rdacarrier
504			_aIncludes bibliographical references (pages 685-686) and indexes.
505	0	0	_tIntroduction _t1. The concept of a manifold _t2. Vector and tensor fields _t3. Mappings of tensors induced by mappings of manifolds _t4. Lie derivative _t5. Exterior algebra _t6. Differential calculus of forms _t7. Integral calculus of forms _t8. Particular cases and applications of Stoke's Theorem _t9. Poincare _tLemma and cohomologies _t10. Lie Groups - basic facts _t11. Differential geometry of Lie Groups _t12. Representations of Lie Groups and Lie Algebras _t13. Actions of Lie Groups and Lie Algebras on manifolds _t14. Hamiltonian mechanics and symplectic manifolds _t15. Parallel transport and linear connection on M _t16. Field theory and the language of forms _t17. Differential geometry on TM and T*M _t18. Hamiltonian and Lagrangian equations _t19. Linear connection and the frame bundle _t20. Connection on a principal G-bundle _t21. Gauge theories and connections _t22. Spinor fields and Dirac operator _tAppendices _tBibliography _tIndex.
650		0	_aGeometry, Differential
650		0	_aLie groups
650		0	_aMathematical physics
710	2		_972911 _aCambridge University Press.
900			_a25668
900			_bsatın
942			_2lcc _cKT
999			_c21030 _d21030