# Mathematical Techniques

## Notes

Notes

## References

References

### All Subjects

All Subjects

*Mathematical Physics*by Sadri Hassani*Mathematics for Physics and Physicists*by Walter Appel

### Linear Algebra

Linear Algebra

*Matrix Analysis and Applied Linear Algebra*by Carl Meyer

### Complex Analysis

Complex Analysis

*Complex Variables and Applications, 9th Edition*by James Brown and Ruel Churchill

### Partial Differential Equations and Fourier Series

Partial Differential Equations and Fourier Series

*An Introduction to Partial Differential Equations*by Yehuda Pinchover and Jacob Rubenstein*An Introduction to Partial Differential Equations, 2nd Edition*by Walter Strauss*Introduction to Fourier Analysis and Wavelets*by Mark Pinsky

### Group Theory

Group Theory

*Visual Group Theory*by Nathan Carter*Group Theory and Quantum Mechanics*by Michael Tinkham*Lie Algebras in Particle Physics*by Howard Georgi*Group Theory and its Application to Physical Problems*by Morton Hamermesh*Quantum Theory, Groups, and Representations**Lie Groups, Lie Algebras, and Representations*by Brian Hall*Lie Groups, Lie Algebras, and Some of Their Applications*by Robert Gilmore*Semi-Simple Lie Algebras and Their Representations**Affine Lie Algebras and Quantum Groups*by Jürgen Fuchs*Symmetries, Lie Algebras, and Representations*

### Differential Geometry and Variational Calculus

Differential Geometry and Variational Calculus

*Differential Geometry*by Erwin Kreyszig*Tensors, Differential Forms, and Variational Principles*by David Lovelock and Hanno Rund*Theoretical Studies of Fluid Membrane Mechanics*by Martin Müller

### Manifolds

Manifolds

*Geometry, Topology, and Physics*by Michio Nakahara*Introduction to Smooth Manifolds**Introduction to Topological Manifolds**Introduction to Riemannian Manifolds*

### Operator Algebras

Operator Algebras

*Functional Analysis*by Balmohan Vishnu Limaye*Introductory Functional Analysis with Applications*by Erwin Kreyszig*Notes on Operator Algebras*by Jesse Peterson*A Mathematical Introduction to Conformal Field Theory**An Introduction to K-Theory for C*-Algebras*by M. Rørdam, F. Larsen, and N. Laustsen