Mathematics methods in Physics-I

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Curated by: Mathematical Methods in Physics - I (60 videos)

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Currently Playing: Lecture 8 : Inner product space, Gram- Schmidt Ortho-normalization

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Tracks in this Playlist

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