000			04345pam a2200385 a 4500
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003			0001
008			170314r19891975nyua b 001 0 eng
020			_a0486658406 (paperback)
020			_a9780486658407
035			_9(DLC) 88031014
040			_aDLC _cDLC _dDLC
082	0	0	_a515.63 _219
084			_a515.63 _bLOV-T
100	1		_aLovelock, David, _d1938-
245	1	0	_aTensors, differential forms, and variational principles / _h[Book] _cby David Lovelock and Hanno Rund.
260			_aNew York : _bDover, _c1989.
300			_axi, 366 pages : _billustrations ; _c22 cm.
500			_aReprint, with rev. appendix. Originally published: New York : Wiley, 1975.
520			_aThe aim of this book is to present a self-contained, reasonably modern account of tensor analysis and the calculus of exterior differential forms, adapted to the needs of physicists, engineers, and applied mathematicians. In the later, increasingly sophisticated chapters, the interaction between the concept of invariance and the calculus of variations is examined. This interaction is of profound importance to all physical field theories. Beginning with simple physical examples, the theory of tensors and forms is developed by a process of successive abstractions. This enables the reader to infer generalized principles from concrete situations — departing from the traditional approach to tensors and forms in terms of purely differential-geometric concepts. The treatment of the calculus of variations of single and multiple integrals is based ab initio on Carathǒdory's method of equivalent integrals. Subsequent material explores the effects of invariance postulates on variational principles, focusing ultimately on relativistic field theories. Other discussions include: • integral invariants • simple and direct derivations of Noether's theorems • Riemannian spaces with indefinite metrics The emphasis in this book is on analytical techniques, with abundant problems, ranging from routine manipulative exercises to technically difficult problems encountered by those using tensor techniques in research activities. A special effort has been made to collect many useful results of a technical nature, not generally discussed in the standard literature. The Appendix, newly revised and enlarged for the Dover edition, presents a reformulation of the principal concepts of the main text within the terminology of current global differential geometry, thus bridging the gap between classical tensor analysis and the fundamentals of more recent global theories.
521			_aAll.
650		0	_aCalculus of tensors.
650		0	_aDifferential forms.
650		0	_aCalculus of variations.
700			_aRund, Hanno.
852			_p55509 _90.00 _h515.63 LOV-T _vGift and Donations _bGround Floor _dBooks _t1 _q2-Good _aJZL-CUI
521			_aAll.
650			_aFirdawsi. _tShahnamah.
650			_aMetropolitan Museum of Art (New York, N.Y.)
650		0	_aIllumination of books and manuscripts, Iranian.
700			_aCanby, Sheila R., _eeditor of compilation.
700	1		_aFirdawsi.
700	1		_aMetropolitan Museum of Art (New York, N.Y.)
852			_p55684 _98392.00 _h745.670955 CAN-S _vSecond Wind _bGround Floor _dBooks _t1 _q1-New _aJZL-CUI
999			_c68607 _d68607