Introduction to Mathematical Physics

Following chapters are covered

Chapter 1: Linear Algebra

Lecture 1: Linear Vector Space

Lecture 2: Basics of Kets And Operators

Lecture 3: Basis Transformations - I

Lecture 4: Worked Examples

Lecture 5: Basis Transformations - II

Lecture 6: Eigenvalues & Eigenvectors

Lecture 7: Hermitian Operators

Lecture 8: Simultaneous Diagonalization

Lecture 9: Worked Examples

Lecture 10: Beyond Normal Operators

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Chapter 2: Complex Variables

Lecture 11: Complex Functions

Lecture 12: Worked Examples

Lecture 13: Hamonic Pieces of f(z)

Lecture 14: Ideal Fluid Flows

Lecture 15: Multivalued Functions

Lecture 16: Integration - I

Lecture 17: Integration - II

Lecture 18: Series Expansions

Lecture 19: Function Singularities

Lecture 20: Residue Theorem

Lecture 21: Solving Definite Integrals

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Chapter 3: Integral Transforms

Lecture 22: Fourier Series

Lecture 23: Generalizing Fourier Series

Lecture 24: Fourier Transforms

Lecture 25: Worked Examples

Lecture 26: Laplace Transforms

Lecture 27: Worked Examples

Lecture 28: Convolution Theorems

Lecture 29: Physical Applications

Lecture 30: Physical Applications II

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References:

1) Mathematical Methods for Physicists by Arfken & Weber
2) Mathematical Methods for Physics by Mathews & Walker