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Könyv Elements for Physics Albert Tarantola

Elements for Physics

Quantities, Qualities, and Intrinsic Theories

Szerző: Albert Tarantola
Nyelv: Angol
Kötés: Kemény kötésű
Kiadó: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Elérhetőség: Beszállítói készleten
Küldés 10-13 napon belül
18 924 Ft
Reviews and extends the theory of Lie groups, develops differential geometry, proposing compact defi...

Információk a könyvről

Szerző
Albert Tarantola
Nyelv
Angol
Kötés
Könyv - Kemény kötésű
Kiadva
2005
oldal
266
EAN
9783540253020
ISBN
3540253025
Enbook ID
01560452
Kiadó
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Súly
639
Méretek
155 x 235 x 22

Teljes leírás

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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