**Mathematics for Theoretical Physics**

by Jean Claude Dutailly

**Publisher**: arXiv 2012**Number of pages**: 767

**Description**:

This is a comprehensive and precise coverage of the mathematical concepts and tools used in present theoretical physics: differential geometry, Lie groups, fiber bundles, Clifford algebra, differential operators, normed algebras, connections, etc.

Download or read it online for free here:

**Download link**

(5MB, PDF)

Download mirrors:**Mirror 1**

## Similar books

**Physics, Topology, Logic and Computation: A Rosetta Stone**

by

**John C. Baez, Mike Stay**-

**arXiv**

There is extensive network of analogies between physics, topology, logic and computation. In this paper we make these analogies precise using the concept of 'closed symmetric monoidal category'. We assume no prior knowledge of category theory.

(

**7387**views)

**An Introduction to Hyperbolic Analysis**

by

**Andrei Khrennikov, Gavriel Segre**-

**arXiv**

Contents: The hyperbolic algebra as a bidimensional Clifford algebra; Limits and series in the hyperbolic plane; The hyperbolic Euler formula; Analytic functions in the hyperbolic plane; Multivalued functions on the hyperbolic plane; etc.

(

**9061**views)

**Mathematics for Physics: A Guided Tour for Graduate Students**

by

**Michael Stone, Paul Goldbart**-

**Cambridge University Press**

This book provides a graduate-level introduction to the mathematics used in research in physics. It focuses on differential and integral equations, Fourier series, calculus of variations, differential geometry, topology and complex variables.

(

**14806**views)

**Feynman Diagrams and Differential Equations**

by

**Mario Argeri, Pierpaolo Mastrolia**-

**arXiv**

The authors review the method of differential equations for the evaluation of D-dimensionally regulated Feynman integrals. After dealing with the technique, we discuss its application in the context of corrections to the photon propagator in QED.

(

**9872**views)