Elements for Physics

Name: Elements for Physics
Brand: Springer, Berlin
SKU: 9783642064524
Price: 51.76 EUR
Availability: InStock

Quantities, Qualities, and Intrinsic Theories

Автор: Albert Tarantola

Език:

Корици: С меки корици

Издател: Springer, Berlin

Наличност: Външен склад

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51.76 € 101.24 лв

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

Информация за книгата

Автор

Albert Tarantola

Език

Английски език

Корици

Книга - С меки корици

Издадена

2010

страници

266

EAN

9783642064524

ISBN

3642064523

Enbook ID

01651700

Издател

Springer, Berlin

Теглоt

428

Размери

155 x 235 x 14

Пълно описание

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

Информация за книгата

Пълно описание

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