**Geometry in Physics**

by Alexander Altland

2010**Number of pages**: 79

**Description**:

From the table of contents: Exterior Calculus (Exterior Algebra, Differential forms in Rn, Metric, Gauge theory, Summary and outlook); Manifolds (Basic structures, Tangent space, Summary and outlook); Lie groups (Generalities, Lie group actions, Lie algebras, Lie algebra actions, From Lie algebras to Lie groups).

Download or read it online for free here:

**Download link**

(3MB, PDF)

## Similar books

**Lectures on the Geometry of Quantization**

by

**Sean Bates, Alan Weinstein**-

**University of California at Berkeley**

An introduction to the ideas of microlocal analysis and the related symplectic geometry, with an emphasis on the role which these ideas play in formalizing the transition between the mathematics of classical dynamics and that of quantum mechanics.

(

**7523**views)

**Geometry and Topology in Electronic Structure Theory**

by

**Raffaele Resta**-

**University of Trieste**

From the table of contents: Introduction; Early discoveries; Berry-ology (geometry in nonrelativistic quantum mechanics); Manifestations of the Berry phase; Modern theory of polarization; Quantum metric and the theory of the insulating state.

(

**4958**views)

**An Introduction to Noncommutative Spaces and their Geometry**

by

**Giovanni Landi**-

**arXiv**

These lectures notes are an introduction for physicists to several ideas and applications of noncommutative geometry. The necessary mathematical tools are presented in a way which we feel should be accessible to physicists.

(

**7628**views)

**Noncommutative Geometry, Quantum Fields and Motives**

by

**Alain Connes, Matilde Marcolli**-

**American Mathematical Society**

The unifying theme of this book is the interplay among noncommutative geometry, physics, and number theory. The two main objects of investigation are spaces where both the noncommutative and the motivic aspects come to play a role.

(

**7120**views)