Learn · Mathematical methods in Physics -I

Lecture 2 of 60Week 1

Lecture 2 : Vector Space

Prof. Samudra Roy · IIT Kharagpur

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Mathematical methods in Physics -I, IIT Kharagpur (at NPTEL)
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CC BY-NC-SA, as NPTEL states it. Non-commercial use only.
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All the lectures

  1. Lecture 1 : Set, Group, Field, Ring Video
  2. Lecture 2 : Vector Space Video
  3. Lecture 3 : Span, Linear combination of vectors Video
  4. Lecture 4 : Linearly dependent and independent vector, Basis Video
  5. Lecture 5 : Dual Space Video
  6. Lecture 6 : Inner Product Video
  7. Lecture 7 : Schwarz Inequality Video
  8. Lecture 8 : Inner product space, Gram- Schmidt Ortho-normalization Video
  9. Lecture 9 : Projection operator Video
  10. Lecture 10 : Transformation of Basis Video
  11. Lecture 11 : Transformation of Basis (Continue) Video
  12. Lecture 12 : Unitary transformation, Similarity Transformation Video
  13. Lecture 13 : Eigen Value, Eigen Vectors Video
  14. Lecture 14 : Normal Matrix Video
  15. Lecture 15 : Diagonalization of a Matrix Video
  16. Lecture 16: Hermitian Matrix Video
  17. Lecture 17 : Rank of a Matrix Video
  18. Lecture 18 : Cayley - Hamilton Theorem, Function space Video
  19. Lecture 19: Metric Space, Linearly dependent -independent functions Video
  20. Lecture 20 : Linearly dependent -independent functions (Cont), Inner Product of functions Video
  21. Lecture 21: Orthogonal functions Video
  22. Lecture 22: Delta Function, Completeness Video
  23. Lecture 23: Fourier Video
  24. Lecture 24: Fourier Series (Contd.) Video
  25. Lecture 25: Parseval Theorem, Fourier Transform Video
  26. Lecture 26: Parseval Relation, Convolution Theorem Video
  27. Lecture 27: Polynomial space, Legendre Polynomial Video
  28. Lecture 28: Monomial Basis, Factorial Basis, Legendre Basis Video
  29. Lecture 29: Complex Numbers Video
  30. Lecture 30: Geometrical interpretation of complex numbers Video
  31. Lecture 31 : de Moivre's Theorem Video
  32. Lecture 32 : Roots of a complex number Video
  33. Lecture 33 : Set of complex no, Stereographic projection Video
  34. Lecture 34 : Complex Function, Concept of Limit Video
  35. Lecture 35 : Derivative of Complex Function, Cauchy-Riemann Equation Video
  36. Lecture 36 : Analytic Function Video
  37. Lecture 37 : Harmonic Conjugate Video
  38. Lecture 38 : Polar form of Cauchy-Riemann Equation Video
  39. Lecture 39 : Multi-valued function and Branches Video
  40. Lecture 40 : Complex Line Integration, Contour , Regions Video
  41. Lecture 41: Complex Line Integration(Cont.) Video
  42. Lecture 42: Cauchy-Goursat Theorem Video
  43. Lecture 43 : Application of Cauchy-Goursat Theorem Video
  44. Lecture 44: Cauchy's Integral Formula Video
  45. Lecture 45: Cauchy's Integral Formula (Contd.) Video
  46. Lecture 46:Series and Sequence Video
  47. Lecture 47:Series and Sequence (Contd.) Video
  48. Lecture 48:Circle and radius of convergence Video
  49. Lecture 49: Taylor Series Video
  50. Lecture 50 Classification of singularity Video
  51. Lecture 51: Laurent Series, Singularity Video
  52. Lecture 52: Laurent series expansion Video
  53. Lecture 53: Laurent series expansion (Cont), Concept of Residue Video
  54. Lecture 54: Classification of Residue Video
  55. Lecture 55: Calculation of Residue for quotient from Video
  56. Lecture 56 : Cauchy's Residue Theorem Video
  57. Lecture 57 : Cauchy's Residue Theorem (Cont) Video
  58. Lecture 58 : Real Integration using Cauchy's Residue Theorem Video
  59. Lecture 59 : Real Integration using Cauchy's Residue Theorem (Cont) Video
  60. Lecture 60 : Real Integration using Cauchy's Residue Theorem (Cont) Video