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Elements for Physics

Quantities, Qualities, and Intrinsic Theories

Authors: Tarantola, Albert

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eBook 67,82 €
price for Spain (gross)
  • ISBN 978-3-540-31107-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
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  • Immediate eBook download after purchase
Hardcover 88,39 €
price for Spain (gross)
  • ISBN 978-3-540-25302-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 82,60 €
price for Spain (gross)
  • ISBN 978-3-642-06452-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this Textbook

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.

About the authors

Professor at the University of Paris. Doctor Honoris Causa by the University of Copenhagen. Silver medal of the French National Science Foundation. Author of a well-known book on Inverse Problem Theory.

Table of contents (4 chapters)

  • Geotensors

    Pages 11-77

  • Tangent Autoparallel Mappings

    Pages 79-104

  • Quantities and Measurable Qualities

    Pages 105-124

    Preview Buy Chapter 30,19 €
  • Intrinsic Physical Theories

    Pages 125-152

Buy this book

eBook 67,82 €
price for Spain (gross)
  • ISBN 978-3-540-31107-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 88,39 €
price for Spain (gross)
  • ISBN 978-3-540-25302-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 82,60 €
price for Spain (gross)
  • ISBN 978-3-642-06452-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Elements for Physics
Book Subtitle
Quantities, Qualities, and Intrinsic Theories
Authors
Copyright
2006
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-31107-2
DOI
10.1007/978-3-540-31107-2
Hardcover ISBN
978-3-540-25302-0
Softcover ISBN
978-3-642-06452-4
Edition Number
1
Number of Pages
XIV, 266
Number of Illustrations
34 b/w illustrations, 10 illustrations in colour
Topics