**Elements for Physics: Quantities, Qualities, and Intrinsic Theories**

by Albert Tarantola

**Publisher**: Springer 2006**ISBN/ASIN**: 3540253025**ISBN-13**: 9783540253020**Number of pages**: 280

**Description**:

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.

Download or read it online for free here:

**Download link**

(3.7MB, PDF)

## Similar books

**Introduction to Mathematical Physics**

by

**Alex Madon**-

**Wikibooks**

The goal of this book is to propose an ensemble view of modern physics. The coherence between various fields of physics is insured by following two axes: a first is the universal mathematical language; the second is the study of the N body problem.

(

**5298**views)

**The Octonions**

by

**John C. Baez**-

**University of California**

The octonions are the largest of the four normed division algebras. The author describes them and their relation to Clifford algebras and spinors, Bott periodicity, projective and Lorentzian geometry, Jordan algebras, and the exceptional Lie groups.

(

**14952**views)

**Graph and Network Theory in Physics: A Short Introduction**

by

**Ernesto Estrada**-

**arXiv**

Text consisting of some of the main areas of research in graph theory applied to physics. It includes graphs in condensed matter theory, such as the tight-binding and the Hubbard model. It follows the study of graph theory and statistical physics...

(

**5775**views)

**Euclidean Random Matrices and Their Applications in Physics**

by

**A. Goetschy, S.E. Skipetrov**-

**arXiv**

We review the state of the art of the theory of Euclidean random matrices, focusing on the density of their eigenvalues. Both Hermitian and non-Hermitian matrices are considered and links with simpler random matrix ensembles are established.

(

**4452**views)