**A Mathematics Primer for Physics Graduate Students**

by Andrew E. Blechman

2007**Number of pages**: 78

**Description**:

The author summarizes most of the more advanced mathematical trickery seen in electrodynamics and quantum mechanics in simple and friendly terms with examples. Mathematical tools such as tensors or differential forms, intended to make the calculations much simpler, are covered in this text.

Download or read it online for free here:

**Download link**

(440KB, PDF)

## Similar books

**Introduction to Spectral Theory of SchrÃ¶dinger Operators**

by

**A. Pankov**-

**Vinnitsa State Pedagogical University**

Contents: Operators in Hilbert spaces; Spectral theorem of self-adjoint operators; Compact operators and the Hilbert-Schmidt theorem; Perturbation of discrete spectrum; Variational principles; One-dimensional Schroedinger operator; etc.

(

**6487**views)

**Lie Groups in Physics**

by

**G. 't Hooft, M. J. G. Veltman**-

**Utrecht University**

Contents: Quantum mechanics and rotation invariance; The group of rotations in three dimensions; More about representations; Ladder operators; The group SU(2); Spin and angular distributions; Isospin; The Hydrogen Atom; The group SU(3); etc.

(

**11402**views)

**An Introduction to Topos Physics**

by

**Marios Tsatsos**-

**arXiv**

The basic notion of how topoi can be utilized in physics is presented here. Topos and category theory serve as valuable tools which extend our ordinary set-theoretical conceptions, can give rise to new descriptions of quantum physics.

(

**6950**views)

**Clifford Algebra, Geometric Algebra, and Applications**

by

**Douglas Lundholm, Lars Svensson**-

**arXiv**

These are lecture notes for a course on the theory of Clifford algebras. The various applications include vector space and projective geometry, orthogonal maps and spinors, normed division algebras, as well as simplicial complexes and graph theory.

(

**10947**views)