Elements for Physics 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Tarantola, Albert 作者

Springer Verlag

译者

出版日期

263 页数

$ 145.77 价格

HRD

丛书系列

9783540253020 图书编码

Elements for Physics 在线电子书图书标签: Physics

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发表于2024-07-06

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Elements for Physics 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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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 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. 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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