000 02961cam a2200481Ki 4500
001 ocn867537206
003 OCoLC
005 20141103172225.0
006 m o d
007 cr cnu---unuuu
008 140106s1993 ne ob 001 0 eng d
040 _aOPELS
_beng
_erda
_epn
_cOPELS
_dOCLCF
020 _a9780444533289 (electronic bk.)
020 _a0444533281 (electronic bk.)
020 _z9780444530462
020 _z0444530460
029 1 _aDEBSZ
_b414269942
035 _a(OCoLC)867537206
050 4 _aQA670
082 0 4 _a516.362
_222
049 _aTEFA
245 0 0 _aIntroduction to global variational geometry.
_nVolume 1 /
_cedited by Demeter Krupka.
264 1 _aAmsterdam :
_bElsevier Science,
_c1993.
300 _a1 online resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aNorth-Holland mathematical library ;
_v177
520 _aThis book provides a comprehensive introduction to modern global variational theory on fibred spaces. It is based on differentiation and integration theory of differential forms on smooth manifolds, and on the concepts of global analysis and geometry such as jet prolongations of manifolds, mappings, and Lie groups. The book will be invaluable for researchers and PhD students in differential geometry, global analysis, differential equations on manifolds, and mathematical physics, and for the readers who wish to undertake further rigorous study in this broad interdisciplinary field. Featured topics - Analysis on manifolds - Differential forms on jet spaces - Global variational functionals - Euler-Lagrange mapping - Helmholtz form and the inverse problem - Symmetries and the Noether's theory of conservation laws - Regularity and the Hamilton theory - Variational sequences - Differential invariants and natural variational principles - First book on the geometric foundations of Lagrange structures - New ideas on global variational functionals - Complete proofs of all theorems - Exact treatment of variational principles in field theory, inc. general relativity - Basic structures and tools: global analysis, smooth manifolds, fibred spaces.
504 _aIncludes bibliographical references and index.
588 _aDescription based on print version record.
650 0 _aGlobal differential geometry.
650 0 _aFiber spaces (Mathematics)
650 7 _aFiber spaces (Mathematics)
_2fast
_0(OCoLC)fst00923610
650 7 _aGlobal differential geometry.
_2fast
_0(OCoLC)fst00943477
655 4 _aElectronic books.
700 1 _aKrupka, D.,
_eeditor of compilation.
776 0 8 _iPrint version:
_aKrupka, D.
_tIntroduction to global variational geometry
_z9780444530462
_w(OCoLC)219989137
830 0 _aNorth-Holland mathematical library ;
_v177.
856 4 0 _3ScienceDirect
_uhttp://www.sciencedirect.com/science/book/9780444533289
942 _cEB
994 _aC0
_bTEF
999 _c21831
_d21831