Krishna: Complex Analysis (IIT Guwahati)

# playlist of the 40 videos (click the up-left corner of the video)

source: nptelhrd    2013年11月5日
Mathematics - Complex Analysis by Prof. P. A. S. Sree Krishna, Department of Mathematics, IIT Guwahati. For more details on NPTEL visit http://nptel.iitm.ac.in

Mod-01 Introduction 39:20
Mod-01 Lec-01 Introduction to Complex Numbers 1:04:04
Mod-01 Lec-02 de Moivre's Formula and Stereographic Projection 48:56
Mod-01 Lec-03 Topology of the Complex Plane Part-I 54:43
Mod-01 Lec-04 Topology of the Complex Plane Part-II 50:59
Mod-01 Lec-05 Topology of the Complex Plane Part-III 55:01
Mod-02 Lec-01 Introduction to Complex Functions 53:35
Mod-02 Lec-02 Limits and Continuity 49:22
Mod-02 Lec-03 Differentiation 59:51
Mod-02 Lec-04 Cauchy-Riemann Equations and Differentiability 53:39
Mod-02 Lec-05 Analytic functions; the exponential function 51:55
Mod-02 Lec-06 Sine, Cosine and Harmonic functions 57:15
Mod-02 Lec-07 Branches of Multifunctions; Hyperbolic Functions 51:07
Mod-02 Lec-08 Problem Solving Session I 51:06
Mod-03 Lec-01 Integration and Contours 48:43
Mod-03 Lec-02 Contour Integration 52:04
Mod-03 Lec-03 Introduction to Cauchy's Theorem 41:19
Mod-03 Lec-04 Cauchy's Theorem for a Rectangle 1:00:49
Mod-03 Lec-05 Cauchy's theorem Part - II 50:32
Mod-03 Lec-06 Cauchy's Theorem Part - III 48:01
Mod-03 Lec-07 Cauchy's Integral Formula and its Consequences 56:06
Mod-03 Lec-08 The First and Second Derivatives of Analytic Functions 52:09
Mod-03 Lec-09 Morera's Theorem and Higher Order Derivatives of Analytic Functions 50:36
Mod-03 Lec-10 Problem Solving Session II 55:39
Mod-04 Lec-01 Introduction to Complex Power Series 49:15
Mod-04 Lec-02 Analyticity of Power Series 48:54
Mod-04 Lec-03 Taylor's Theorem 49:58
Mod-04 Lec-04 Zeroes of Analytic Functions 50:43
Mod-04 Lec-05 Counting the Zeroes of Analytic Functions 52:10
Mod-04 Lec-06 Open mapping theorem -- Part I 51:17
Mod-04 Lec-07 Open mapping theorem -- Part II 47:05
Mod-05 Lec-01 Properties of Mobius Transformations Part I 48:02
Mod-05 Lec-02 Properties of Mobius Transformations Part II 46:30
Mod-05 Lec-03 Problem Solving Session III 48:05
Mod-06 Lec-01 Removable Singularities 45:29
Mod-06 Lec-02 Poles Classification of Isolated Singularities 48:28
Mod-06 Lec-03 Essential Singularity & Introduction to Laurent Series 46:30
Mod-06 Lec-04 Laurent's Theorem 45:45
Mod-06 Lec-05 Residue Theorem and Applications 51:56
Mod-06 Lec-06 Problem Solving Session IV 53:05