000			02292nam a2200301Ia 4500
003			OSt
005			20260108122135.0
008			220909b |||||||| |||| 00| 0 eng d
020			_a9780387694689
037			_cTextbook
040			_aCSL _beng _cCSL
041			_aeng
084			_aB463 P7 TB _qCSL
100			_aDas, Anadijiban _9863084
245		0	_aTensors: the mathematics of relativity theory and continuum mechanics
260			_aNew York, _bSpringer Science+Business Media: _c2007.
300			_axii, 289p. _b: ill.
500			_aAppendix 1-2, 257-270p.; Bibliographical references 277-279p.; Index 285-289p.
520			_aTensor algebra and tensor analysis were developed by Riemann, Christo?el, Ricci, Levi-Civita and others in the nineteenth century. The special theory of relativity, as propounded by Einstein in 1905, was elegantly expressed by Minkowski in terms of tensor ?elds in a ?at space-time. In 1915, Einstein formulated the general theory of relativity, in which the space-time manifold is curved. The theory is aesthetically and intellectually satisfying. The general theory of relativity involves tensor analysis in a pseudo- Riemannian manifold from the outset. Later, it was realized that even the pre-relativistic particle mechanics and continuum mechanics can be elegantly formulated in terms of tensor analysis in the three-dimensional Euclidean space. In recent decades, relativistic quantum ?eld theories, gauge ?eld theories, and various uni?ed ?eld theories have all used tensor algebra analysis exhaustively. This book develops from abstract tensor algebra to tensor analysis in va- ous di?erentiable manifolds in a mathematically rigorous and logically coherent manner. The material is intended mainly for students at the fourth-year and ?fth-year university levels and is appropriate for students majoring in either mathematical physics or applied mathematics.
650			_aCalculus of tensors _9863085
650			_aMathematical physics _9863086
650			_aRiemannian manifolds _9863087
650			_aTensor algebra _9863088
650			_aMathematics _9863089
700			_aDas, Anadijiban _9863084
942			_hB463 P7 TB _cTB _2CC _n0
999			_c22491 _d22491