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Elements for Physics

Name: Elements for Physics
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 9783540253020
Price: 207.66 PLN
Availability: InStock

Quantities, Qualities, and Intrinsic Theories

Autor: Albert Tarantola

Język:

Oprawa: Twarda

Wydawca: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Dostępność: Dostępna u dostawcy

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Reviews and extends the theory of Lie groups, develops differential geometry, proposing compact defi...

Informacje o książce

Autor

Albert Tarantola

Język

Angielski

Oprawa

Książka - Twarda

Data wydania

2005

strony

266

EAN

9783540253020

ISBN

3540253025

Enbook ID

01560452

Wydawca

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Waga

639

Wymiary

155 x 235 x 22

Pełny opis

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 equations derived in this manner differ quantitatively and qualitatively from those usually presented.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 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.

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Quantities, Qualities, and Intrinsic Theories

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