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Elements for Physics

Name: Elements for Physics
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 9783540253020
Price: 49.11 EUR
Availability: InStock

Quantities, Qualities, and Intrinsic Theories

Autor: Albert Tarantola

Jazyk:

Väzba: Pevná

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

Dostupnosť: Skladom u dodávateľa

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49.11 €

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

Informácie o knihe

Autor

Albert Tarantola

Jazyk

Angličtina

Väzba

Kniha - Pevná

Vydalo

2005

Stránok

266

EAN

9783540253020

ISBN

3540253025

Enbook ID

01560452

Vydavateľ

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Hmotnosť

639

Rozmery

155 x 235 x 22

Kompletný popis

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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Elements for Physics

Quantities, Qualities, and Intrinsic Theories

Informácie o knihe

Kompletný popis

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