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Elements for Physics

Name: Elements for Physics
Brand: Springer, Berlin
SKU: 9783642064524
Price: 270.62 RON
Availability: InStock

Quantities, Qualities, and Intrinsic Theories

Autor: Albert Tarantola

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Legare: Carte broșată

Editura: Springer, Berlin

Disponibilitate: În depozitul extern

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

Informații despre carte

Autor

Albert Tarantola

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2010

Pagini

266

EAN

9783642064524

ISBN

3642064523

Enbook ID

01651700

Editura

Springer, Berlin

Greutate

428

Dimensiuni

155 x 235 x 14

Descriere completă

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

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