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Course11510608636 lectures

Selected Topics in Mathematical Physics

Prof. V. Balakrishnan · IIT Madras

Start with lecture 1 At NPTEL

Lectures

Analytic functions of a complex variable

  1. Analytic functions of a complex variable (Part I) Video
  2. Analytic functions of a complex variable (Part II) Video

Calculus of residues

  1. Calculus of residues (Part I) Video
  2. Calculus of residues (Part II) Video
  3. Calculus of residues (Part III) Video
  4. Calculus of residues (Part IV) Video

Linear response; dispersion relations

  1. Linear response; dispersion relations (Part I) Video
  2. Linear response; dispersion relations (Part II) Video

Analytic continuation and the gamma function

  1. Analytic continuation and the gamma function (Part I) Video
  2. Analytic continuation and the gamma function (Part II) Video

Möbius transformations

  1. Möbius transformations (Part I) Video
  2. Möbius transformations (Part II) Video
  3. Möbius transformations (Part III) Video

Multivalued functions; integral representations

  1. Multivalued functions; integral representations (Part I) Video
  2. Multivalued functions; integral representations (Part II) Video
  3. Multivalued functions; integral representations (Part III) Video
  4. Multivalued functions; integral representations (Part IV) Video

Laplace transforms

  1. Laplace transforms (Part I) Video
  2. Laplace transforms (Part II) Video

Fourier transforms

  1. Fourier transforms (Part I) Video
  2. Fourier transforms (Part II) Video
  3. Fourier transforms (Part III) Video

Fundamental Green function for Δ2

  1. Fundamental Green function forΔ2 (Part I) Video
  2. Fundamental Green function forΔ2 (Part II) Video

The diffusion equation

  1. The diffusion equation (Part I) Video
  2. The diffusion equation (Part II) Video
  3. The diffusion equation (Part III) Video
  4. The diffusion equation (Part IV) Video

Green function for (Δ2 + k2); nonrelativistic scattering

  1. Green function for (Δ2 + k2); nonrelativistic scattering (Part I) Video
  2. Green function for (Δ2 + k2); nonrelativistic scattering (Part II) Video
  3. Green function for (Δ2 + k2); nonrelativistic scattering (Part III) Video

The wave equation

  1. The wave equation (Part I) Video
  2. The wave equation (Part II) Video

The rotation group and all that

  1. The rotation group and all that (Part I) Video
  2. The rotation group and all that (Part II) Video
  3. The rotation group and all that (Part III) Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Madras
Department
Physics
Teacher
Prof. V. Balakrishnan
Level
Undergraduate
Language
English
Subjects
Physics
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution
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