000 01892cam a22002417a 4500
001 14676535
005 20250611113936.0
008 061220s2006 enka 001 0 eng
020 _a9780521187961
040 _aCSL
_cCSL
041 _2eng
_aeng
084 _aB6 : 3 P6 NBHM
_qCSL
100 1 _aFecko, Marián.
_eauthor.
_9812571
245 1 0 _aDifferential geometry and lie groups for physicists
260 _aCambridge :
_bCambridge University Press,
_c2006.
300 _axv, 697 p. :
_bill. ;
_c26 cm.
504 _aIncludes bibliographical references (p. 685-686) and indexes.
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.
_9812572
650 0 _aLie groups.
_9716545
650 0 _aMathematical physics.
_9463933
942 _2CC
_n0
_cTEXL
_hB6 : 3 P6 NBHM
999 _c1431599
_d1431599