A course on methods of mathematical physics. The course aims to demonstrate the utility and limitations of a variety of powerful calculational techniques and to provide a deeper understanding of the mathematics underpinning theoretical physics.

- Mathematical preliminaries.
- Infinite series.
- Series of functions.
- Binomial theorem.
- Mathematical induction.
- Operation of series expansion of functions.
- Some important series.
- Vectors.
- Complex number and functions.
- Derivative and extrema.
- Evaluations of integrals.
- Dirac delta functions.
- Determinants and matrices.
- Determinants, Matrices.
- Vector analysis.
- Review of basics properties.
- Vector in 3-D spaces.
- Coordinates transformations.
- Rotations in R
^{3.} - Differential vectors operators.
- Vector integrations.
- Integral theorem.
- Potential theory.
- Curvilinear coordinates.
- Tensor and differential forms.
- Tensor analysis.
- Pseudo-tensors.
- Dual tensors, and Tensors in general coordinates.
- Jacobians.
- Differential forms.
- Integrating forms.
- Vector Spaces.
- Vector in function spaces.
- Gram Schmidt orthogonalization.
- Operators.
- Self adjoint operators.
- Unitary operators.
- Transformations of operators, and Invariants.

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

Published by : Elsevier

ISBN: 978012386549 - Schaum's outlines theory and problems complex variables with an introduction to conformal mapping and its applicationsby Spiegel, Murray R.

Published by : Jahangir Book Depot

ISBN: 9780071615693

- Lectures on Advanced Mathematical Methods for Physicistsby Mukhi, Sunil

Mukunda, N.

Publisher: World Scientific

ISBN: 9789814299749

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- Beamtimes and Lifetimesby Traweek, Sharon

Harvard University Press

ISBN: 9780674044449 - Great Physicistsby Cropper, William H.

Publisher: Oxford University Press

ISBN: 9780195350272