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Synopsis
Reviews and extends the theory of 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.
Uses a unifying illustration: two simple theories are studied with some detail, the theory of heat conduction and the theory of linear elastic media.
Shows that the resulting...
From the Back Cover
While 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...
About the Author
Professor at the University of Paris. Doctor Honoris Causa by the University of Copenhagen. Silver medal of the French National Science Foundation. Author of a well-known book on Inverse Problem Theory.
"About this title" may belong to another edition of this title.
- PublisherSpringer
- Publication date2005
- ISBN 10 3540253025
- ISBN 13 9783540253020
- BindingHardcover
- LanguageEnglish
- Number of pages280
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Elements for Physics : Quantities, Qualities, and Intrinsic Theories
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Springer Berlin Heidelberg, 2005
ISBN 10: 3540253025
ISBN 13: 9783540253020
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