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Functional Analysis - Part 1 - Metric Space
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Jul 15, 2022
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The Riemann Hypothesis, Explained
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Analytic number theory around torsion homology: Lecture 1 by Prof. Akshay Venkatesh
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Aug 24, 2018
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Analytic number theory around torsion homology: Lecture 2 by Prof. Akshay Venkatesh
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Analytic number theory around torsion homology: Lecture 3 by Prof. Akshay Venkatesh
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Analytic number theory around torsion homology: Lecture 4 by Prof. Akshay Venkatesh
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Automorphic forms and motivic cohomology by Prof. Akshay Venkatesh - Lecture 1
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Aug 24, 2018
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Automorphic forms and motivic cohomology by Prof. Akshay Venkatesh - Lecture 2
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Automorphic forms and motivic cohomology by Prof. Akshay Venkatesh - Lecture 3
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Analysis and topology on locally symmetric spaces by Prof. Akshay Venkatesh
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Aug 24, 2018
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UCLA Department of Mathematics Distinguished Lecture Series - Prof. Akshay Venkatesh #1
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Aug 24, 2018
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UCLA Department of Mathematics Distinguished Lecture Series - Prof. Akshay Venkatesh #3
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Aug 24, 2018
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UCLA Department of Mathematics Distinguished Lecture Series by Prof. Akshay Venkatesh #2
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Aug 24, 2018
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Advanced Complex Analysis - Part 2 by Dr. T.E.V. Balaji (NPTEL):- Properties of the Image of an Analytic Function: Introduction to the Picard Theorems
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Jun 18, 2018
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Advanced Complex Analysis - Part 2 by Dr. T.E.V. Balaji (NPTEL):- Recalling Singularities of Analytic Functions: Non-isolated and Isolated Removable
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Jun 18, 2018
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Advanced Complex Analysis - Part 2 by Dr. T.E.V. Balaji (NPTEL):- Recalling Riemann's Theorem on Removable Singularities
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Jun 18, 2018
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Advanced Complex Analysis - Part 2 by Dr. T.E.V. Balaji (NPTEL):- Casorati-Weierstrass Theorem; Dealing with the Point at Infinity
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Jun 18, 2018
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Advanced Complex Analysis - Part 2 by Dr. T.E.V. Balaji (NPTEL):- Neighbourhood of Infinity, Limit at Infinity and Infinity as an Isolated Singularity
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Jun 18, 2018
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Advanced Complex Analysis - Part 2 by Dr. T.E.V. Balaji (NPTEL):- Studying Infinity: Formulating Epsilon-Delta Definitions for Infinite Limits
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Jun 18, 2018
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Advanced Complex Analysis - Part 2 by Dr. T.E.V. Balaji (NPTEL):- When is a function analytic at infinity ?
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Jun 18, 2018
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Advanced Complex Analysis - Part 2 by Dr. T.E.V. Balaji (NPTEL):- Laurent Expansion at Infinity and Riemann's Removable Singularities Theorem
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Jun 18, 2018
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Advanced Complex Analysis - Part 2 by Dr. T.E.V. Balaji (NPTEL):- The Generalized Liouville Theorem: Little Brother of Little Picard
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Jun 18, 2018
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Advanced Complex Analysis - Part 2 by Dr. T.E.V. Balaji (NPTEL):- Morera's Theorem at Infinity, Infinity as a Pole and Behaviour at Infinity
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Jun 18, 2018
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Advanced Complex Analysis - Part 2 by Dr. T.E.V. Balaji (NPTEL):- Residue at Infinity and Introduction to the Residue Theorem for the Extended
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Jun 18, 2018
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Advanced Complex Analysis - Part 2 by Dr. T.E.V. Balaji (NPTEL):- Proofs of Two Avatars of the Residue Theorem for the Extended Complex Plane
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Jun 18, 2018
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Advanced Complex Analysis - Part 2 by Dr. T.E.V. Balaji (NPTEL):- Infinity as an Essential Singularity and Transcendental Entire Functions
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Jun 18, 2018
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Advanced Complex Analysis - Part 2 by Dr. T.E.V. Balaji (NPTEL):- Meromorphic Functions on the Extended Complex Plane
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Jun 18, 2018
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Advanced Complex Analysis - Part 2 by Dr. T.E.V. Balaji (NPTEL):- The Ubiquity of Meromorphic Functions
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Jun 18, 2018
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Advanced Complex Analysis - Part 2 by Dr. T.E.V. Balaji (NPTEL):- Continuity of Meromorphic Functions at Poles and Topologi
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Jun 18, 2018
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Advanced Complex Analysis - Part 2 by Dr. T.E.V. Balaji (NPTEL):- Why Normal Convergence, but Not Globally Uniform Convergence
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Jun 18, 2018
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Advanced Complex Analysis - Part 2 by Dr. T.E.V. Balaji (NPTEL):- Measuring Distances to Infinity, the Function Infinity and Normal Convergence
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Jun 18, 2018
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Advanced Complex Analysis - Part 2 by Dr. T.E.V. Balaji (NPTEL):- The Invariance Under Inversion of the Spherical Metric on the Extended Complex Plane
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Jun 18, 2018
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Advanced Complex Analysis - Part 2 by Dr. T.E.V. Balaji (NPTEL):- Introduction to Hurwitz's Theorem for Normal Convergence of Holomorphic Functions
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Jun 18, 2018
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Advanced Complex Analysis - Part 2 by Dr. T.E.V. Balaji (NPTEL):- Completion of Proof of Hurwitz's Theorem for Normal Limits of Analytic Functions
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Jun 18, 2018
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Advanced Complex Analysis - Part 2 by Dr. T.E.V. Balaji (NPTEL):- Hurwitz's Theorem for Normal Limits of Meromorphic Functions in the Spherical Metric
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Jun 18, 2018
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Advanced Complex Analysis - Part 2 by Dr. T.E.V. Balaji (NPTEL):- What could the Derivative of a Meromorphic Function
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Jun 18, 2018
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Advanced Complex Analysis - Part 2 by Dr. T.E.V. Balaji (NPTEL):- Defining the Spherical Derivative of a Meromorphic Function
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Jun 18, 2018
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Advanced Complex Analysis - Part 2 by Dr. T.E.V. Balaji (NPTEL):- Well-definedness of the Spherical Derivative of a Meromorphic Function
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Jun 18, 2018
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Advanced Complex Analysis - Part 2 by Dr. T.E.V. Balaji (NPTEL):- Topological Preliminaries: Translating Compactness into Boundedness
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Jun 18, 2018
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Advanced Complex Analysis - Part 2 by Dr. T.E.V. Balaji (NPTEL):- Introduction to the Arzela-Ascoli Theorem
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Jun 18, 2018
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Advanced Complex Analysis - Part 2 by Dr. T.E.V. Balaji (NPTEL):- Proof of the Arzela-Ascoli Theorem for Functions
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Jun 18, 2018
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Advanced Complex Analysis - Part 2 by Dr. T.E.V. Balaji (NPTEL):- Proof of the Arzela-Ascoli Theorem for Functions
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Jun 18, 2018
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Advanced Complex Analysis - Part 2 by Dr. T.E.V. Balaji (NPTEL):- Introduction to the Montel Theorem
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Jun 18, 2018
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Advanced Complex Analysis - Part 2 by Dr. T.E.V. Balaji (NPTEL):- Completion of Proof of the Montel Theorem
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Jun 18, 2018
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Advanced Complex Analysis - Part 2 by Dr. T.E.V. Balaji (NPTEL):- Introduction to Marty's Theorem
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Jun 18, 2018
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Advanced Complex Analysis - Part 2 by Dr. T.E.V. Balaji (NPTEL):- Proof of one direction of Marty's Theorem
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Jun 18, 2018
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Advanced Complex Analysis - Part 2 by Dr. T.E.V. Balaji (NPTEL):- Proof of the other direction of Marty's Theorem
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Jun 18, 2018
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Advanced Complex Analysis - Part 2 by Dr. T.E.V. Balaji (NPTEL):- Normal Convergence at Infinity and Hurwitz's Theorems
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Jun 18, 2018
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Advanced Complex Analysis - Part 2 by Dr. T.E.V. Balaji (NPTEL):- Normal Sequential Compactness, Normal Uniform Boundedness
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Jun 18, 2018
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Advanced Complex Analysis - Part 2 by Dr. T.E.V. Balaji (NPTEL):- Local Analysis of Normality and the Zooming Process - Motivation for Zalcman's Lemma
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Jun 18, 2018
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Advanced Complex Analysis - Part 2 by Dr. T.E.V. Balaji (NPTEL):- Characterizing Normality at a Point by the Zooming Process
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Jun 18, 2018
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Advanced Complex Analysis - Part 2 by Dr. T.E.V. Balaji (NPTEL):- Local Analysis of Normality and the Zooming Process - Motivation for Zalcman's Lemma
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Jun 18, 2018
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Advanced Complex Analysis - Part 2 by Dr. T.E.V. Balaji (NPTEL):- Montel's Deep Theorem: The Fundamental Criterion for Normality
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Jun 18, 2018
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Advanced Complex Analysis - Part 2 by Dr. T.E.V. Balaji (NPTEL):- Proofs of the Great and Little Picard Theorems
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Jun 18, 2018
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Advanced Complex Analysis - Part 2 by Dr. T.E.V. Balaji (NPTEL):- Royden\'s Theorem on Normality Based On Growth Of Derivatives
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Jun 18, 2018
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Advanced Complex Analysis - Part 2 by Dr. T.E.V. Balaji (NPTEL):- Schottky's Theorem: Uniform Boundedness from a Point to a Neighbourhood
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Jun 18, 2018
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Advanced Complex Analysis - Part 1 (NPTEL):- Fundamental Theorems Connected with Zeros of Analytic Functions
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May 30, 2018
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Advanced Complex Analysis - Part 1 (NPTEL):- The Argument (Counting) Principle, Rouche's Theorem and The Fundamental Theorem
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Wrichik Basu
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May 30, 2018
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Advanced Complex Analysis - Part 1 (NPTEL):- Morera's Theorem and Normal Limits of Analytic Functions
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May 30, 2018
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Advanced Complex Analysis - Part 1 (NPTEL):- Hurwitz's Theorem and Normal Limits of Univalent Functions
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May 30, 2018
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Advanced Complex Analysis - Part 1 (NPTEL):- Local Constancy of Multiplicities of Assumed Values
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May 30, 2018
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Advanced Complex Analysis - Part 1 (NPTEL):- The Open Mapping Theorem
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Advanced Complex Analysis - Part 1 (NPTEL):- Introduction to the Inverse Function Theorem
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Advanced Complex Analysis - Part 1 (NPTEL):- Completion of the Proof of the Inverse Function Theorem: The Integral Inversion
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May 30, 2018
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Advanced Complex Analysis - Part 1 (NPTEL):- Univalent Analytic Functions have never-zero Derivatives and are Analytic Isomorphisms
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May 30, 2018
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Advanced Complex Analysis - Part 1 (NPTEL):- Introduction to the Implicit Function Theorem
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May 30, 2018
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Advanced Complex Analysis - Part 1 (NPTEL):- Proof of the Implicit Function Theorem: Topological Preliminaries
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Advanced Complex Analysis - Part 1 (NPTEL):- Proof of the Implicit Function Theorem: The Integral Formula for & Analyticity
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May 30, 2018
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Advanced Complex Analysis - Part 1 (NPTEL):- Doing Complex Analysis on a Real Surface: The Idea of a Riemann Surface
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May 30, 2018
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Advanced Complex Analysis - Part 1 (NPTEL):- F(z,w)=0 is naturally a Riemann Surface
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Advanced Complex Analysis - Part 1 (NPTEL):- Constructing the Riemann Surface for the Complex Logarithm
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Advanced Complex Analysis - Part 1 (NPTEL):- Constructing the Riemann Surface for the m-th root function
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Advanced Complex Analysis - Part 1 (NPTEL):- The Riemann Surface for the functional inverse of an analytic
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Advanced Complex Analysis - Part 1 (NPTEL):- The Algebraic nature of the functional inverses of an analytic
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Advanced Complex Analysis - Part 1 (NPTEL):- The Idea of a Direct Analytic Continuation or an Analytic Extension
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Advanced Complex Analysis - Part 1 (NPTEL):- General or Indirect Analytic Continuation and the Lipschitz Nature of the Radius
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Advanced Complex Analysis - Part 1 (NPTEL):- Analytic Continuation Along Paths via Power Series - 1
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Advanced Complex Analysis - Part 1 (NPTEL):- Analytic Continuation Along Paths via Power Series - 2
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Advanced Complex Analysis - Part 1 (NPTEL):- Continuity of Coefficients occurring in Families of Power Series defining Analytic
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Advanced Complex Analysis - Part 1 (NPTEL):- Analytic Continuability along Paths: Dependence on the Initial Function
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Advanced Complex Analysis - Part 1 (NPTEL):- Maximal Domains of Direct and Indirect Analytic Continuation: Second
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Advanced Complex Analysis - Part 1 (NPTEL):- Deducing the Second (Simply Connected) Version of the Monodromy Theorem
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Advanced Complex Analysis - Part 1 (NPTEL):-Existence and Uniqueness of Analytic Continuations on Nearby Paths
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Advanced Complex Analysis - Part 1 (NPTEL):- Proof of the First (Homotopy) Version of the Monodromy Theorem
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Advanced Complex Analysis - Part 1 (NPTEL):- Proof of the Algebraic Nature of Analytic Branches of the Functional Inverse
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Advanced Complex Analysis - Part 1 (NPTEL):- The Mean-Value Property, Harmonic Functions and the Maximum Principle
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Advanced Complex Analysis - Part 1 (NPTEL):- Proofs of Maximum Principles and Introduction to Schwarz's Lemma
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Advanced Complex Analysis - Part 1 (NPTEL):- Proof of Schwarz's Lemma and Uniqueness of Riemann Mappings
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Advanced Complex Analysis - Part 1 (NPTEL):- Reducing Existence of Riemann Mappings to Hyperbolic Geometry of Sub-domains
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Advanced Complex Analysis - Part 1 (NPTEL):- Differential or Infinitesimal Schwarz's Lemma, Pick's Lemma, Hyperbolic
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Advanced Complex Analysis - Part 1 (NPTEL):- Hyperbolic Geodesics for the Hyperbolic Metric on the Unit Disc
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Advanced Complex Analysis - Part 1 (NPTEL):- Schwarz-Pick Lemma for the Hyperbolic Metric on the Unit Disc
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Advanced Complex Analysis - Part 1 (NPTEL):- Arzela-Ascoli Theorem: Under Uniform Boundedness, Equicontinuity and Uniform
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Advanced Complex Analysis - Part 1 (NPTEL):- Completion of the Proof of the Arzela-Ascoli Theorem and Introduction
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Advanced Complex Analysis - Part 1 (NPTEL):- The Proof of Montel's Theorem
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Advanced Complex Analysis - Part 1 (NPTEL):- The Candidate for a Riemann Mapping
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Advanced Complex Analysis - Part 1 (NPTEL):- Completion of Proof of The Riemann Mapping Theorem - 1
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Advanced Complex Analysis - Part 1 (NPTEL):- Completion of Proof of The Riemann Mapping Theorem - 2
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Applied Multivariate Analysis (NPTEL):- Prologue
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Applied Multivariate Analysis (NPTEL):- Lecture 1: Basic concepts on multivariate distribution - 1
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