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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Elements for Physics: Quantities, Qualities, and Intrinsic Theories

Elements for Physics: Quantities, Qualities, and Intrinsic Theories

Tarantola, Albert

Paperback

Technology & EngineeringPhysics

ISBN10: 3642064523
ISBN13: 9783642064524
Publisher: Springer Nature
Published: Feb 12 2010
Pages: 266
Weight: 0.87
Height: 0.59 Width: 6.14 Depth: 9.21
Language: English

While the traditional approach to physical theories emphasizes the notion of physical 'quantity, ' this refreshing and challenging book shows that there is much to gain from relying rather on the notion of physical 'quality.' Tarantola makes the case that the usual physical quantities, which are employed in most postulated, are really just coordinates over the manifolds representing the physical qualities. The alternative approach enables the development of physical theories that have a degree of invariance much deeper than the usual one. While properly developed physical theories contain logarithms and exponentials of tensors, he demonstrates the implications of their conspicuous absence in the usual theories, namely that the fundamental invariance principle examined here 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 usualnotion 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 resulting equations derived in this manner differ quantitatively and qualitatively from those usually presented.

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