Mathematics

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Modular forms: Product formula for j
Formal & Physical Sciences Mathematics
EN

Modular forms: Product formula for j

Richard E. Borcherds
13 min
★ ★ ★ ★ ★ 5/5
Modular FormsElliptic Modular FunctionHecke Operators
Modular forms: Hecke operators
Formal & Physical Sciences Mathematics
EN

Modular forms: Hecke operators

Richard E Borcherds
16 min
★ ★ ★ ★ ★ 5/5
Modular FormsHecke OperatorsNumber Theory
Modular forms: Theta functions
Formal & Physical Sciences Mathematics
EN

Modular forms: Theta functions

Richard E Borcherds
18 min
★ ★ ★ ★ ★ 5/5
Modular FormsTheta FunctionsRiemann Zeta Function
Modular forms: Discriminant and E2
Formal & Physical Sciences Mathematics
EN

Modular forms: Discriminant and E2

Richard E Borcherds
18 min
★ ★ ★ ★ ★ 5/5
Modular FormsDiscriminantEisenstein Series
Modular forms: Modular functions
Formal & Physical Sciences Mathematics
EN

Modular forms: Modular functions

Richard E Borcherds
17 min
★ ★ ★ ★ ★ 5/5
Modular FormsModular FunctionsElliptic Modular Function
Modular forms: Classification
Formal & Physical Sciences Mathematics
EN

Modular forms: Classification

Richard E Borcherds
23 min
★ ★ ★ ★ ★ 5/5
Modular FormsClassificationEisenstein Series
Modular forms: Fundamental domain
Formal & Physical Sciences Mathematics
EN

Modular forms: Fundamental domain

Richard E Borcherds
15 min
★ ★ ★ ★ ★ 5/5
Modular FormsFundamental DomainSL2(Z)
Modular forms: Eisenstein series
Formal & Physical Sciences Mathematics
EN

Modular forms: Eisenstein series

Richard E Borcherds
24 min
★ ★ ★ ★ ★ 5/5
Modular FormsEisenstein SeriesElliptic Curves
Modular forms: Introduction
Formal & Physical Sciences Mathematics
EN

Modular forms: Introduction

Richard E Borcherds
24 min
★ ★ ★ ★ ★ 5/5
Modular FormsNumber TheoryComplex Analysis
Complex analysis: Elliptic functions
Formal & Physical Sciences Mathematics
EN

Complex analysis: Elliptic functions

Richard E Borcherds
26 min
★ ★ ★ ★ ★ 5/5
Complex AnalysisElliptic FunctionsMeromorphic Functions
Complex analysis: Gamma function
Formal & Physical Sciences Mathematics
EN

Complex analysis: Gamma function

Richard E Borcherds
24 min
★ ★ ★ ★ ★ 5/5
Gamma FunctionComplex AnalysisFunctional Equation
Complex analysis: Singularities
Formal & Physical Sciences Mathematics
EN

Complex analysis: Singularities

Richard E Borcherds
27 min
★ ★ ★ ★ ★ 5/5
Complex AnalysisSingularitiesPoles
Complex analysis: Summing series
Formal & Physical Sciences Mathematics
EN

Complex analysis: Summing series

Richard E Borcherds
16 min
★ ★ ★ ★ ★ 5/5
Complex AnalysisResidue CalculusSeries
Complex analysis: Residue calculus
Formal & Physical Sciences Mathematics
EN

Complex analysis: Residue calculus

Richard E Borcherds
30 min
★ ★ ★ ★ ★ 5/5
Complex AnalysisResidue TheoremContour Integration
Complex analysis: Cauchy's theorem
Formal & Physical Sciences Mathematics
EN

Complex analysis: Cauchy's theorem

Richard E Borcherds
20 min
★ ★ ★ ★ ☆ 4/5
Cauchy's TheoremComplex AnalysisGreen's Theorem
Complex analysis: Integration
Formal & Physical Sciences Mathematics
EN

Complex analysis: Integration

Richard E Borcherds
22 min
★ ★ ★ ★ ★ 5/5
Complex AnalysisIntegrationPath Integral
Questions and Answers 1
Formal & Physical Sciences Mathematics
EN

Questions and Answers 1

Richard E Borcherds
35 min
★ ★ ★ ★ ★ 5/5
MathematicsQ&AResearch Advice
Complex analysis: Harmonic functions
Formal & Physical Sciences Mathematics
EN

Complex analysis: Harmonic functions

Richard E Borcherds
30 min
★ ★ ★ ★ ★ 5/5
Complex AnalysisHarmonic FunctionsLaplace Equation
Complex analysis: Holomorphic functions
Formal & Physical Sciences Mathematics
EN

Complex analysis: Holomorphic functions

Richard E Borcherds
26 min
★ ★ ★ ★ ★ 5/5
Complex AnalysisHolomorphic FunctionsCauchy-Riemann Equations
Complex analysis: Exp, log, sin, cos
Formal & Physical Sciences Mathematics
EN

Complex analysis: Exp, log, sin, cos

Richard E Borcherds
32 min
★ ★ ★ ★ ★ 5/5
Complex AnalysisExponential FunctionLogarithm
Complex analysis: Roots
Formal & Physical Sciences Mathematics
EN

Complex analysis: Roots

Richard E Borcherds
31 min
★ ★ ★ ★ ★ 5/5
Complex AnalysisRootsPolar Coordinates
Complex analysis: Arithmetic
Formal & Physical Sciences Mathematics
EN

Complex analysis: Arithmetic

Richard E Borcherds
25 min
★ ★ ★ ★ ★ 5/5
Complex NumbersArithmeticQuaternions
Complex analysis: Introduction
Formal & Physical Sciences Mathematics
EN

Complex analysis: Introduction

Richard E Borcherds
18 min
★ ★ ★ ★ ☆ 4/5
Complex AnalysisCauchy's TheoremAnalytic Continuation
Lie groups: Modular function
Formal & Physical Sciences Mathematics
EN

Lie groups: Modular function

Richard E Borcherds
28 min
★ ★ ★ ★ ★ 5/5
Lie GroupsModular FunctionInvariant Measure
Lie groups: Haar measure
Formal & Physical Sciences Mathematics
EN

Lie groups: Haar measure

Richard E Borcherds
24 min
★ ★ ★ ★ ★ 5/5
Haar MeasureLie GroupsIntegration
Lie groups: Lie's theorem
Formal & Physical Sciences Mathematics
EN

Lie groups: Lie's theorem

Richard E Borcherds
23 min
★ ★ ★ ★ ★ 5/5
Lie AlgebrasSolvable Lie AlgebrasLie's Theorem
Lie groups: Engel's theorem
Formal & Physical Sciences Mathematics
EN

Lie groups: Engel's theorem

Richard E Borcherds
24 min
★ ★ ★ ★ ☆ 4/5
Lie AlgebrasEngel's TheoremNilpotent
Lie groups: Bianchi classification
Formal & Physical Sciences Mathematics
EN

Lie groups: Bianchi classification

Richard E Borcherds
24 min
★ ★ ★ ★ ★ 5/5
Lie GroupsBianchi ClassificationThurston Geometries