Mathematical physics refers to development of mathematical methods for application to problems in physics.

- Nonlinear ordinary differential equations.
- Bernoulli’s equation.
- Riccati equation.
- Lane-Emden equation.
- Nonlinear Pendulum.
- Duffing’s equation.
- Pinney’s equation.
- Perturbation theory.
- Bogoliubov- Krilovmethod.
- Linear partial differential equations.
- Classification.
- Initial and boundary values problems.
- Fourier analysis.
- Heat equation.
- Wave equation.
- Laplace equation etc.
- Integral equations.
- Classification.
- Integral transform separable kernels.
- Singular integral equations.
- Wiener-Hopf equations.
- Fredholm theory.
- Series solutions.
- Variational methods.
- The Euler-Lagrange equations.
- Solutions to some famous problems.
- Sturm-Liouville Problem and variational principles.
- Rayleigh-Ritz Methods for partial differential equations.
- Matrix algebra.
- Method of Faddeev.
- Caley-Hamilton’ theorem.
- Functions of matrices.
- Functions of matrices.
- Kronecker and Tensor products.
- Special matrices.

- Mathematical methods for physicists a comprehensive guideby Arfken, George B. Hans J. Weber, Frank E. Harris. 7th ed.

Published by : Elsevier (Amsterdam)

ISBN: 9789381269282

- Great Physicistsby Cropper, William H.

Publisher: Oxford University Press (US)

ISBN: 9780195350272 - Mathematics As a Science of Patternsby Resnik, Michael D.

Publisher: Clarendon Press

ISBN: 9780191519000

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- Mathematical Methods for Physicistsby Chow, Tai L.

Publisher: Cambridge University Press

ISBN: 9780511151354