Formal & Physical Sciences MathematicsENLec 34: Schwarz's Lemma and Morera's TheoremProf. Arup ChattopadhyayAugust 12, 2026 49 min★ ★ ★ ★ ☆ 4/5Complex AnalysisSchwarz's LemmaMorera's Theorem
Formal & Physical Sciences MathematicsENLec 33: Maximum Modulus Principle and its consequencesProf. Arup ChattopadhyayAugust 11, 2026 41 min★ ★ ★ ★ ☆ 4/5Complex AnalysisMaximum Modulus PrincipleMinimum Modulus Theorem
Formal & Physical Sciences MathematicsENLec 32: Maximum Modulus Theorem and its proofProf. Arup ChattopadhyayAugust 11, 2026 38 min★ ★ ★ ★ ☆ 4/5Complex AnalysisMaximum Modulus TheoremAnalytic Functions
Formal & Physical Sciences MathematicsENLec 31: Fundamental Theorem of Algebra and Gauss Mean value TheoremProf. Arup ChattopadhyayAugust 11, 2026 38 min★ ★ ★ ★ ☆ 4/5Complex AnalysisFundamental Theorem of AlgebraLiouville's Theorem
Formal & Physical Sciences MathematicsENLec 30: Application of Liouville’s TheoremProf. Arup ChattopadhyayAugust 11, 2026 33 min★ ★ ★ ★ ☆ 4/5Liouville's TheoremComplex AnalysisEntire Functions
Formal & Physical Sciences MathematicsENLEc 29: Cauchy’s Estimate and Liouville’s TheoremProf. Arup ChattopadhyayAugust 4, 2026 24 min★ ★ ★ ★ ☆ 4/5Complex AnalysisCauchy's EstimateLiouville's Theorem
Formal & Physical Sciences MathematicsENLec 28: Cauchy's integral formula for n-th derivatives and its consequencesProf. Arup ChattopadhyayAugust 4, 2026 41 min★ ★ ★ ★ ☆ 4/5Complex AnalysisCauchy's Integral FormulaDerivatives
Formal & Physical Sciences MathematicsENLEc 27: Cauchy's integral formula and its consequencesProf. Arup ChattopadhyayAugust 4, 2026 37 min★ ★ ★ ★ ☆ 4/5Cauchy's Integral FormulaComplex AnalysisAnalytic Functions
Formal & Physical Sciences MathematicsENLec 26: Deformation of contours and Cauchy-Goursat theorem for multiply connected domainProf. Arup ChattopadhyayAugust 4, 2026 44 min★ ★ ★ ★ ☆ 4/5Complex AnalysisCauchy-Goursat TheoremContour Integration
Formal & Physical Sciences MathematicsENLec 25: Consequence of Cauchy-Goursat Theorem and existence of antiderivativesProf. Arup ChattopadhyayAugust 4, 2026 40 min★ ★ ★ ★ ☆ 4/5Complex AnalysisCauchy-Goursat TheoremAntiderivative
Formal & Physical Sciences MathematicsENLec 24: Concept of antiderivatives or primitives and related theorems and examplesProf. Arup ChattopadhyayAugust 3, 2026 32 min★ ★ ★ ★ ☆ 4/5Complex AnalysisAntiderivativesPath Independence
Formal & Physical Sciences MathematicsENLec 23: Path independency and proof of Cauchy-Goursat theoremProf. Arup ChattopadhyayAugust 3, 2026 44 min★ ★ ★ ★ ☆ 4/5Complex AnalysisCauchy-Goursat TheoremPath Independence
Formal & Physical Sciences MathematicsEN66. Harmonic functions / Schwarz reflection principle (Cultivating Complex Analysis 7.3.2)Prof. Jiří LeblJuly 4, 2026 21 min★ ★ ★ ★ ★ 5/5Complex AnalysisHarmonic FunctionsSchwarz Reflection Principle
Formal & Physical Sciences MathematicsEN65. Harmonic functions / Isolated singularities (Cultivating Complex Analysis 7.3.1)Prof. Jiří LeblJuly 3, 2026 31 min★ ★ ★ ★ ★ 5/5Complex AnalysisHarmonic FunctionsIsolated Singularities
Formal & Physical Sciences MathematicsENEuler’s equation and identity (e^(i π) + 1 = 0 & e^(i x) = cos x + i sin x)Robin WilsonApril 20, 2026 17 min★ ★ ★ ★ ☆ 4/5EulerEuler's IdentityComplex Numbers
Formal & Physical Sciences MathematicsENHow (and why) to take a logarithm of an image3Blue1BrownMarch 22, 2026 44 min★ ★ ★ ★ ★ 5/5Complex AnalysisConformal MappingEscher
Formal & Physical Sciences MathematicsENCAT | Dr. Helena Stage | A heuristic introduction to the applications of Wiener-Hopf factorisationDr. Helena StageDecember 15, 2025 56 min★ ★ ★ ★ ☆ 4/5Wiener-HopfRandom WalksLévy Processes
Formal & Physical Sciences MathematicsENEsta potencia tiene un valor sorprendente🙉Matemáticas con JuanOctober 19, 2025 10 min★ ★ ★ ★ ☆ 4/5Complex NumbersEuler's FormulaImaginary Unit
Formal & Physical Sciences MathematicsENEcuacion exponencial base negativa 🙉Matemáticas con JuanOctober 13, 2025 21 min★ ★ ★ ★ ★ 5/5Exponential EquationsComplex NumbersEuler's Formula
Formal & Physical Sciences MathematicsENGermes tangents à l’identité et surfaces affines.Jasmin RaissyOctober 6, 2025 46 min★ ★ ★ ★ ☆ 4/5Holomorphic DynamicsTangent to IdentityLeau-Fatou Flower
Formal & Physical Sciences MathematicsENRiemann mapping theoremRichard E BorcherdsMarch 19, 2024 26 min★ ★ ★ ★ ★ 5/5Complex AnalysisRiemann Mapping TheoremConformal Mapping
Formal & Physical Sciences MathematicsENElliptic functions lecture 4. The sigma functionRichard E BorcherdsFebruary 24, 2024 24 min★ ★ ★ ★ ★ 5/5Elliptic FunctionsSigma FunctionTheta Functions
Formal & Physical Sciences MathematicsENElliptic functions lecture 3. Jacobi functionsRichard E BorcherdsFebruary 21, 2024 32 min★ ★ ★ ★ ☆ 4/5Elliptic FunctionsJacobi FunctionsLine Bundles
Formal & Physical Sciences MathematicsENElliptic functions lecture 2Richard E BorcherdsFebruary 19, 2024 35 min★ ★ ★ ★ ★ 5/5Elliptic FunctionsWeierstrass P FunctionAddition Formula
Formal & Physical Sciences MathematicsENElliptic functions 1. Weierstrass function.Richard E BorcherdsFebruary 18, 2024 32 min★ ★ ★ ★ ★ 5/5Elliptic FunctionsWeierstrass FunctionComplex Analysis
Formal & Physical Sciences MathematicsENComplex analysis: Classification of elliptic functionsRichard E BorcherdsMarch 19, 2021 24 min★ ★ ★ ★ ★ 5/5Elliptic FunctionsComplex AnalysisWeierstrass P-Function
Formal & Physical Sciences MathematicsENComplex analysis: Weierstrass elliptic functionsRichard E BorcherdsMarch 18, 2021 24 min★ ★ ★ ★ ★ 5/5Weierstrass Elliptic FunctionsComplex AnalysisElliptic Functions
Formal & Physical Sciences MathematicsENComplex analysis: Elliptic functionsRichard E BorcherdsMarch 17, 2021 26 min★ ★ ★ ★ ★ 5/5Complex AnalysisElliptic FunctionsMeromorphic Functions
Formal & Physical Sciences MathematicsENComplex analysis: Maximum modulus principleRichard E BorcherdsMarch 16, 2021 19 min★ ★ ★ ★ ★ 5/5Complex AnalysisMaximum Modulus PrincipleHolomorphic Functions
Formal & Physical Sciences MathematicsENComplex analysis: Gamma functionRichard E BorcherdsMarch 15, 2021 24 min★ ★ ★ ★ ★ 5/5Gamma FunctionComplex AnalysisFunctional Equation
Formal & Physical Sciences MathematicsENComplex analysis: SingularitiesRichard E BorcherdsMarch 14, 2021 27 min★ ★ ★ ★ ★ 5/5Complex AnalysisSingularitiesPoles
Formal & Physical Sciences MathematicsENComplex analysis: Zeta function functional equationRichard E BorcherdsMarch 13, 2021 14 min★ ★ ★ ★ ☆ 4/5Riemann Zeta FunctionFunctional EquationComplex Analysis
Formal & Physical Sciences MathematicsENComplex analysis: Summing seriesRichard E BorcherdsMarch 13, 2021 16 min★ ★ ★ ★ ★ 5/5Complex AnalysisResidue CalculusSeries
Formal & Physical Sciences MathematicsENComplex analysis: Residue calculusRichard E BorcherdsMarch 11, 2021 30 min★ ★ ★ ★ ★ 5/5Complex AnalysisResidue TheoremContour Integration
Formal & Physical Sciences MathematicsENComplex analysis: Locally uniform convergenceRichard E BorcherdsMarch 10, 2021 37 min★ ★ ★ ★ ☆ 4/5Complex AnalysisUniform ConvergenceHolomorphic Functions
Formal & Physical Sciences MathematicsENComplex analysis: Analytic continuationRichard E BorcherdsMarch 9, 2021 22 min★ ★ ★ ★ ☆ 4/5Analytic ContinuationComplex AnalysisGamma Function
Formal & Physical Sciences MathematicsENComplex analysis: Cauchy's integral formulaRichard E BorcherdsMarch 8, 2021 23 min★ ★ ★ ★ ★ 5/5Cauchy's Integral FormulaComplex AnalysisHolomorphic Functions
Formal & Physical Sciences MathematicsENComplex analysis: Cauchy's theoremRichard E BorcherdsMarch 7, 2021 20 min★ ★ ★ ★ ☆ 4/5Cauchy's TheoremComplex AnalysisGreen's Theorem
Formal & Physical Sciences MathematicsENComplex analysis: IntegrationRichard E BorcherdsMarch 6, 2021 22 min★ ★ ★ ★ ★ 5/5Complex AnalysisIntegrationPath Integral
Formal & Physical Sciences MathematicsENComplex analysis: Harmonic functionsRichard E BorcherdsMarch 4, 2021 30 min★ ★ ★ ★ ★ 5/5Complex AnalysisHarmonic FunctionsLaplace Equation