000 02658nam a22004215i 4500
001 978-3-540-31107-2
003 DE-He213
005 20161121230950.0
007 cr nn 008mamaa
008 100715s2006 gw | s |||| 0|eng d
020 _a9783540311072
_9978-3-540-31107-2
024 7 _a10.1007/978-3-540-31107-2
_2doi
050 4 _aQC5.53
072 7 _aPHU
_2bicssc
072 7 _aSCI040000
_2bisacsh
082 0 4 _a530.15
_223
100 1 _aTarantola, Albert.
_eauthor.
245 1 0 _aElements for Physics
_h[electronic resource] :
_bQuantities, Qualities, and Intrinsic Theories /
_cby Albert Tarantola.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2006.
300 _aXIV, 266 p. 44 illus., 10 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aGeotensors -- Tangent Autoparallel Mappings -- Quantities and Measurable Qualities -- Intrinsic Physical Theories.
520 _aWhile usual presentations of physical theories emphasize the notion of physical quantity, this book shows that there is much to gain when introducing the notion of physical quality. The usual physical quantities simply appear as coordinates over the manifolds representing the physical qualities. This allows to develop physical theories that have a degree of invariance much deeper than the usual one. It is shown that properly developed physical theories contain logarithms and exponentials of tensors: their conspicuous absence in usual theories suggests, in fact, that the fundamental invariance principle stated in this book is lacking in present-day mathematical physics. The book reviews and extends the theory if Lie groups, develops differential geometry, proposing compact definitions of torsion and of curvature, and adapts the usual notion of linear tangent application to the intrinsic point of view proposed for physics. As an illustration, two simple theories are studied with some detail, the theory of heat conduction and the theory of linear elastic media. The equations found differ quantitatively and qualitatively from those usually presented.
650 0 _aPhysics.
650 0 _aEngineering.
650 1 4 _aPhysics.
650 2 4 _aMathematical Methods in Physics.
650 2 4 _aEngineering, general.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540253020
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-540-31107-2
912 _aZDB-2-PHA
950 _aPhysics and Astronomy (Springer-11651)
999 _c506562
_d506562