Канал: S Kumaresan

Measure Theory 6: Lebesgue Outer Measure-2: Cantor Set-1

Measure Theory 6: Lebesgue Outer Measure-2: Cantor Set-1

Shorts-13: Chinese Remainder Theorem - 2

Shorts-13: Chinese Remainder Theorem - 2

Shorts 12: Linear Equations-3

Shorts 12: Linear Equations-3

Shorts-11: Chinese Remainder Theorem-1

Shorts-11: Chinese Remainder Theorem-1

Shorts 10: Linear Equations-2

Shorts 10: Linear Equations-2

Shorts-9: Riemann's Criterion for Riemann Integrability

Shorts-9: Riemann's Criterion for Riemann Integrability

Shorts-8: Construction of Linear Maps

Shorts-8: Construction of Linear Maps

Measure Theory - 5: Outer Measure - 2

Measure Theory - 5: Outer Measure - 2

Shorts 7: Tangents 3

Shorts 7: Tangents 3

Shorts 6: Linear Equations-1

Shorts 6: Linear Equations-1

Measure Theory -4: Outer Measure -1

Measure Theory -4: Outer Measure -1

Shorts 5: Tangents-2

Shorts 5: Tangents-2

Measure Theory - 3: Geometric and Intuitive Ideas -3

Measure Theory - 3: Geometric and Intuitive Ideas -3

Shorts 4: First Fundamental Theorem of Homomorphism 1

Shorts 4: First Fundamental Theorem of Homomorphism 1

Measure Theory - 2: Geometric and Intuitive Ideas -2

Measure Theory - 2: Geometric and Intuitive Ideas -2

Measure Theory - 1: Geometric and Intuitive Ideas -1

Measure Theory - 1: Geometric and Intuitive Ideas -1

Shorts 2: Cosets

Shorts 2: Cosets

Shorts 3: Proof of Lagrange's Theorem

Shorts 3: Proof of Lagrange's Theorem

Shorts 1: Tangents 1

Shorts 1: Tangents 1

An Apology

An Apology

Elementary Number Theory - 3: Division Algorithm -2

Elementary Number Theory - 3: Division Algorithm -2

Elementary Number Theory -2: Divisibility -2 & Division Algorithm -1

Elementary Number Theory -2: Divisibility -2 & Division Algorithm -1

Elementary Number Theory -1: Divisibility-1

Elementary Number Theory -1: Divisibility-1

Transfer of Mathematical Structures - 2

Transfer of Mathematical Structures - 2

Transfer of Mathematical Structures - 1

Transfer of Mathematical Structures - 1

Complex Analysis - 41: Quiz on the Proof of Global Version of Cauchy's Theorem

Complex Analysis - 41: Quiz on the Proof of Global Version of Cauchy's Theorem

MTTS2023 IITMandi Valedictory

MTTS2023 IITMandi Valedictory

Linear Algebra: Dual Spaces and Adjoints - 5

Linear Algebra: Dual Spaces and Adjoints - 5

Linear Algebra: Dual Spaces and Adjoints - 4

Linear Algebra: Dual Spaces and Adjoints - 4

Linear Algebra: Dual spaces and Adjoints - 3

Linear Algebra: Dual spaces and Adjoints - 3

Linear Algebra: Dual spaces and Adjoints - 2

Linear Algebra: Dual spaces and Adjoints - 2

Linear Algebra: Dual spaces and Adjoints - 1

Linear Algebra: Dual spaces and Adjoints - 1

Countable and Uncountable Sets - 3

Countable and Uncountable Sets - 3

Countable and Uncountable Sets - 2

Countable and Uncountable Sets - 2

Countable and Uncountable Sets - 1

Countable and Uncountable Sets - 1

Product Topology and Tychonoff's Theorem -3

Product Topology and Tychonoff's Theorem -3

Product Topology and Tychonoff's Theorem -2

Product Topology and Tychonoff's Theorem -2

Product Topology and Tychonoff's Theorem -1

Product Topology and Tychonoff's Theorem -1

Linear Maps Rm2Rn

Linear Maps Rm2Rn

Topology: Product Topology 2

Topology: Product Topology 2

Complex Analysis -39: Global Version of Cauchy's Theorem -2

Complex Analysis -39: Global Version of Cauchy's Theorem -2

Topology: Product Topology -1

Topology: Product Topology -1

Functional Analysis: Closed Graph Theorem

Functional Analysis: Closed Graph Theorem

Functional Analysis: Open Mapping Theorem 2

Functional Analysis: Open Mapping Theorem 2

Functional Analysis: Open Mapping Theorem -1

Functional Analysis: Open Mapping Theorem -1

Functional Analysis: Hahn Banach Theorem - 4

Functional Analysis: Hahn Banach Theorem - 4

Functional Analysis: Hahn-Banach Theorem - 3

Functional Analysis: Hahn-Banach Theorem - 3

Complex Analysis - 38: Global Version of Cauchy' s Theorem -1

Complex Analysis - 38: Global Version of Cauchy' s Theorem -1

Functional Analysis: Hahn-Banach Theorem - 2

Functional Analysis: Hahn-Banach Theorem - 2

Functional Analysis: Hahn-Banach Theorem - 1

Functional Analysis: Hahn-Banach Theorem - 1

Complex Analysis 37: Winding Numbers

Complex Analysis 37: Winding Numbers

Complex Analysis - 36: Laurent Series - 5

Complex Analysis - 36: Laurent Series - 5

Complex Analysis - 35: Laurent Series - 4

Complex Analysis - 35: Laurent Series - 4

Complex Analysis - 34: Laurent Series - 3

Complex Analysis - 34: Laurent Series - 3

Complex Analysis- 33: Laurent Series - 2

Complex Analysis- 33: Laurent Series - 2

Complex Analysis- 32: Laurent Series - 1

Complex Analysis- 32: Laurent Series - 1

Complex Analysis - 31: Isolated Singularities - 3

Complex Analysis - 31: Isolated Singularities - 3

Complex Analysis - 30: Isolated Singularities - 2

Complex Analysis - 30: Isolated Singularities - 2

Complex Analysis - 29: Isolated Singularities -1

Complex Analysis - 29: Isolated Singularities -1

Complex Analysis-28: Extended Complex Plane - 3

Complex Analysis-28: Extended Complex Plane - 3

Complex Analysis - 27: Extended Complex Plane-2

Complex Analysis - 27: Extended Complex Plane-2

Complex Analysis - 26 Extended Complex Plane -1

Complex Analysis - 26 Extended Complex Plane -1

Complex Analysis: 25 (Main Results on) Holomorphic Functions - 5

Complex Analysis: 25 (Main Results on) Holomorphic Functions - 5

Complex Analysis: 24 (Main Results on) Holomorphic Functions - 4 (Minimum Principle)

Complex Analysis: 24 (Main Results on) Holomorphic Functions - 4 (Minimum Principle)

Complex Analysis: 23 (Main Results on) Holomorphic Functions - 3 (Maximum Principle)

Complex Analysis: 23 (Main Results on) Holomorphic Functions - 3 (Maximum Principle)

Complex Analysis: 22 (Main Results on) Holomorphic Functions - 2

Complex Analysis: 22 (Main Results on) Holomorphic Functions - 2

Complex Analysis: 21 (Main Results on) Holomorphic Functions - 1

Complex Analysis: 21 (Main Results on) Holomorphic Functions - 1

Cauchy Theory: Summary

Cauchy Theory: Summary

Complex Analysis 20: Cauchy Theory 5

Complex Analysis 20: Cauchy Theory 5

Complex Analysis -19 Cauchy Theory-4

Complex Analysis -19 Cauchy Theory-4

Complex Analysis -18: Cauchy Theory - 3

Complex Analysis -18: Cauchy Theory - 3

Complex Analysis -17: Cauchy's Theorem for Star-shaped Domains

Complex Analysis -17: Cauchy's Theorem for Star-shaped Domains

Complex Analysis -16: Cauchy Goursat Theorem for Triangles

Complex Analysis -16: Cauchy Goursat Theorem for Triangles

Complex Analysis 15: Path Integrals -6: Cauchy Type Integrals

Complex Analysis 15: Path Integrals -6: Cauchy Type Integrals

Complex Analysis 14: Path Integrals - 5

Complex Analysis 14: Path Integrals - 5

Double Series - 2

Double Series - 2

Complex Analysis 13: Path Integrals -4

Complex Analysis 13: Path Integrals -4

Double Series 1

Double Series 1

Complex Analysis 12: Path Integrals -3

Complex Analysis 12: Path Integrals -3

Complex Analysis 11: Path Integrals -2

Complex Analysis 11: Path Integrals -2

Complex Analysis 10: Path Integrals - 1

Complex Analysis 10: Path Integrals - 1

Applications of the Nested Interval Theorem - 3

Applications of the Nested Interval Theorem - 3

Applications of the Nested Interval Theorem - 2

Applications of the Nested Interval Theorem - 2

Continuous Argument 3

Continuous Argument 3

Continuous Argument - 1

Continuous Argument - 1

Applications of Nested Interval Theorem -1

Applications of Nested Interval Theorem -1

Continuous Argument 2

Continuous Argument 2

A Power Series Function is Analytic

A Power Series Function is Analytic

Complex Analysis 9: Holomorphic Functions -7: What lies ahead?

Complex Analysis 9: Holomorphic Functions -7: What lies ahead?

Complex Analysis 8: Holomorphic Functions -6

Complex Analysis 8: Holomorphic Functions -6

Complex Analysis 7: Holomorphic Functions - 5 Cauchy-Riemann Equations -2

Complex Analysis 7: Holomorphic Functions - 5 Cauchy-Riemann Equations -2

Complex Analysis 6: Holomorphic Functions -4: Cauchy Riemann Equations

Complex Analysis 6: Holomorphic Functions -4: Cauchy Riemann Equations

Complex Analysis 5: Holomorphic Functions - 3

Complex Analysis 5: Holomorphic Functions - 3

Complex Analysis 4: Holomorphic Functions - 2

Complex Analysis 4: Holomorphic Functions - 2

Complex Analysis 3: Holomorphic Functions - 1

Complex Analysis 3: Holomorphic Functions - 1

Complex Analysis 2: Functions from R to C - 2

Complex Analysis 2: Functions from R to C - 2

Complex Analysis 1: Functions from R to C -1

Complex Analysis 1: Functions from R to C -1

What is Complex Analysis about? - 3

What is Complex Analysis about? - 3

What is Complex Analysis about? - 2

What is Complex Analysis about? - 2

What is Complex Analysis about? -1

What is Complex Analysis about? -1

Power series 4: Hadamard's Formula for the Radius of Convergence

Power series 4: Hadamard's Formula for the Radius of Convergence

Power series 3 - Complex Power Series

Power series 3 - Complex Power Series

Power series 2: Term-wise differentiation of a power series

Power series 2: Term-wise differentiation of a power series

Power series 1: Radius of Convergence

Power series 1: Radius of Convergence

Countability axioms 1 (Topology)

Countability axioms 1 (Topology)

Inner Product Spaces - 12: Orthogonal & Unitary Linear Maps

Inner Product Spaces - 12: Orthogonal & Unitary Linear Maps

Inner Product Spaces - 11 : Hyperplanes

Inner Product Spaces - 11 : Hyperplanes

Inner Product Spaces - 10: Orthogonal Decomposition

Inner Product Spaces - 10: Orthogonal Decomposition

Inner Product Spaces - 9 (Uses of an O.N. Basis)

Inner Product Spaces - 9 (Uses of an O.N. Basis)

Inner Product Spaces - 8 (Gram-Schmidt Process)

Inner Product Spaces - 8 (Gram-Schmidt Process)

Inner Product Spaces - 7 (Gram-Schmidt Process -1)

Inner Product Spaces - 7 (Gram-Schmidt Process -1)

Inner Product Spaces - 6 (Complex Inner Product Spaces)

Inner Product Spaces - 6 (Complex Inner Product Spaces)

Inner Product Spaces - 5 (Orthogonal Vectors and Orthogonal Projection)

Inner Product Spaces - 5 (Orthogonal Vectors and Orthogonal Projection)

Inner Product Spaces - 4 (Cauchy-Schwarz Inequality for real IPS)

Inner Product Spaces - 4 (Cauchy-Schwarz Inequality for real IPS)

Inner Product Space - 3 (Symmetric Matrix of an Inner Product)

Inner Product Space - 3 (Symmetric Matrix of an Inner Product)

Inner Product Spaces - 2

Inner Product Spaces - 2

Inner Product Spaces - 1

Inner Product Spaces - 1

Infinite series 9: Cauchy Product of Infinite Series (Basic Real Analysis)

Infinite series 9: Cauchy Product of Infinite Series (Basic Real Analysis)

Infinite series 8 (Basic Real Analysis)

Infinite series 8 (Basic Real Analysis)

Infinite series 7 (Basic Real Analysis)

Infinite series 7 (Basic Real Analysis)

Infinite Series 6 (Basic Real Analysis)

Infinite Series 6 (Basic Real Analysis)

Norms on R^n (Functional Analysis, Topology, Compactness)

Norms on R^n (Functional Analysis, Topology, Compactness)

Infinite series 5: Decimal Expansions (Basic Real Analysis)

Infinite series 5: Decimal Expansions (Basic Real Analysis)

Infinite series 4 (Basic Real Analysis)

Infinite series 4 (Basic Real Analysis)

Subspace Topology - 5

Subspace Topology - 5

Infinite series 3 (Basic Real Analysis)

Infinite series 3 (Basic Real Analysis)

Subspace Topology - 4

Subspace Topology - 4

Infinite series 2 (Basic Real Analysis)

Infinite series 2 (Basic Real Analysis)

Infinite series 1 (Basic Real Analysis)

Infinite series 1 (Basic Real Analysis)

Subspace Topology - 3

Subspace Topology - 3

Subspace Topology 2 (Revised)

Subspace Topology 2 (Revised)

Subspace Topology 1 (Revised)

Subspace Topology 1 (Revised)

Compactness 10 (Topology)

Compactness 10 (Topology)

Compactness 9 (Topology)

Compactness 9 (Topology)

Compactness 8 (Topology)

Compactness 8 (Topology)

Compactness 7 (Topology)

Compactness 7 (Topology)

Compactness 6 (Topology)

Compactness 6 (Topology)

Compactness 5 (Topology)

Compactness 5 (Topology)

Compactness 4 (Topology)

Compactness 4 (Topology)

Equivalence of Norms (Functional Analysis)

Equivalence of Norms (Functional Analysis)

Compactness 3 (Topology)

Compactness 3 (Topology)

Compactness 2 (Topology)

Compactness 2 (Topology)

Subspace Topology 1 (Topology)

Subspace Topology 1 (Topology)

Compactness 1 (Topology)

Compactness 1 (Topology)

Connected Spaces which are not path-connected. (Path-connectedness - 4)

Connected Spaces which are not path-connected. (Path-connectedness - 4)

Path Connected 3

Path Connected 3

Path Connectedness 2 (Topology - Connectedness)

Path Connectedness 2 (Topology - Connectedness)

Path connectedness 1 (Topology - Connectedness)

Path connectedness 1 (Topology - Connectedness)

National Math Day

National Math Day

Connectedness 9 (Connected Components)

Connectedness 9 (Connected Components)

Connectedness 8 (Topology): Locally Constant Functions

Connectedness 8 (Topology): Locally Constant Functions

Connectedness 7 (Topology)

Connectedness 7 (Topology)

Generating Topologies - 4

Generating Topologies - 4

Connectedness 6 (Topology)

Connectedness 6 (Topology)

Connectedness 5 (Topology)

Connectedness 5 (Topology)

Connectedness 4 (Topology)

Connectedness 4 (Topology)

Connectedness 3 (Topology)

Connectedness 3 (Topology)

Connectedness 2 (Topology)

Connectedness 2 (Topology)

Connectedness 1 (Topology)

Connectedness 1 (Topology)

Principles and Tools of Real Analysis -3

Principles and Tools of Real Analysis -3

Principles and Tools of Real Analysis 2

Principles and Tools of Real Analysis 2

Principles and Tools of Real Analysis 1

Principles and Tools of Real Analysis 1

Generating Topologies -3

Generating Topologies -3

Generating Topologies -2

Generating Topologies -2

Generating Topologies -1

Generating Topologies -1

Preface to the Series on Unified View of Subspace, product and quotient topologies

Preface to the Series on Unified View of Subspace, product and quotient topologies

Topology 19 (Sequences in Topological Spaces)

Topology 19 (Sequences in Topological Spaces)

Topology 18 (Dense Subsets of a Topological Space -2)

Topology 18 (Dense Subsets of a Topological Space -2)

Topology 16 (Basis for SOME Topology on a Set)

Topology 16 (Basis for SOME Topology on a Set)

Topology 15 (Basis for the Topology)

Topology 15 (Basis for the Topology)

Topology 14 (The Smallest Topology Containing a Collection of Subsets of a Set)

Topology 14 (The Smallest Topology Containing a Collection of Subsets of a Set)

Topology 13: Characterization of Continuity in terms of closed sets

Topology 13: Characterization of Continuity in terms of closed sets

Topology 12 (Closed Sets-4: Concrete Description of Closure; Continuity and Adherent points)

Topology 12 (Closed Sets-4: Concrete Description of Closure; Continuity and Adherent points)

Topology 11 - Closed Sets -3 (Class of Closed Sets and Closure of a Set)

Topology 11 - Closed Sets -3 (Class of Closed Sets and Closure of a Set)

Topology 10 Closed Sets -2 (Adherent Points)

Topology 10 Closed Sets -2 (Adherent Points)

Topology 17 (Dense Subsets in a Topological Space)

Topology 17 (Dense Subsets in a Topological Space)

Order Topology - 2

Order Topology - 2

Topology 9 (Closed Sets in Spaces -1)

Topology 9 (Closed Sets in Spaces -1)

Order Topology (with Audience) - 1

Order Topology (with Audience) - 1

Topology 8 (Continuous Maps between Spaces-4)

Topology 8 (Continuous Maps between Spaces-4)

Topology 7 (Continuous Maps between Spaces-3)

Topology 7 (Continuous Maps between Spaces-3)

Divide and Conquer Trick in Analysis

Divide and Conquer Trick in Analysis

Topology 6 (Continuous Maps between Spaces-2)

Topology 6 (Continuous Maps between Spaces-2)

Topology 5: (Continuous Maps between Spaces -1)

Topology 5: (Continuous Maps between Spaces -1)

Topology 4 (Lower Limit Topology and Partition Topology)

Topology 4 (Lower Limit Topology and Partition Topology)

Topology 3 (Co-countable, VIP and Outcast Topologies)

Topology 3 (Co-countable, VIP and Outcast Topologies)

Topology 2 (Ray, Co-finite and Co-countable topologies)

Topology 2 (Ray, Co-finite and Co-countable topologies)

Topology 1 (Motivation, Definition and Examples)

Topology 1 (Motivation, Definition and Examples)

Conceptual Introduction to Calculus of Several Variables

Conceptual Introduction to Calculus of Several Variables

Lagrange Multiplier 1

Lagrange Multiplier 1

Lagrange Multiplier 2

Lagrange Multiplier 2

Implicit Function Theorem 2

Implicit Function Theorem 2

Implicit Function Theorem 1

Implicit Function Theorem 1

Riesz Representation Theorem for Hilbert Spaces

Riesz Representation Theorem for Hilbert Spaces

Subgroups of Z

Subgroups of Z

MTTS2021_L1: Foundations 4

MTTS2021_L1: Foundations 4

MTTS2021_L1: Foundations 3

MTTS2021_L1: Foundations 3

MTTS2021_L1: Foundations 2

MTTS2021_L1: Foundations 2

MTTS2021_L1: Foundations 1

MTTS2021_L1: Foundations 1

Mtts2021 Sequences Spl 3 HB

Mtts2021 Sequences Spl 3 HB