Richard E Borcherds

@richarde.borcherds7998

457 tuit · page 4/12
Formal & Physical Sciences Mathematics
EN

Modular forms: Introduction

Richard E Borcherds
24 min
5/5
Modular FormsNumber TheoryComplex Analysis
Formal & Physical Sciences Mathematics
EN

Complex analysis: Elliptic functions

Richard E Borcherds
26 min
5/5
Complex AnalysisElliptic FunctionsMeromorphic Functions
Formal & Physical Sciences Mathematics
EN

Complex analysis: Gamma function

Richard E Borcherds
24 min
5/5
Gamma FunctionComplex AnalysisFunctional Equation
Formal & Physical Sciences Mathematics
EN

Complex analysis: Singularities

Richard E Borcherds
27 min
5/5
Complex AnalysisSingularitiesPoles
Formal & Physical Sciences Mathematics
EN

Complex analysis: Summing series

Richard E Borcherds
16 min
5/5
Complex AnalysisResidue CalculusSeries
Formal & Physical Sciences Mathematics
EN

Complex analysis: Residue calculus

Richard E Borcherds
30 min
5/5
Complex AnalysisResidue TheoremContour Integration
Formal & Physical Sciences Mathematics
EN

Complex analysis: Cauchy's theorem

Richard E Borcherds
20 min
4/5
Cauchy's TheoremComplex AnalysisGreen's Theorem
Formal & Physical Sciences Mathematics
EN

Complex analysis: Integration

Richard E Borcherds
22 min
5/5
Complex AnalysisIntegrationPath Integral
Formal & Physical Sciences Mathematics
EN

Questions and Answers 1

Richard E Borcherds
35 min
5/5
MathematicsQ&AResearch Advice
Formal & Physical Sciences Mathematics
EN

Complex analysis: Harmonic functions

Richard E Borcherds
30 min
5/5
Complex AnalysisHarmonic FunctionsLaplace Equation
Formal & Physical Sciences Mathematics
EN

Complex analysis: Holomorphic functions

Richard E Borcherds
26 min
5/5
Complex AnalysisHolomorphic FunctionsCauchy-Riemann Equations
Formal & Physical Sciences Mathematics
EN

Complex analysis: Exp, log, sin, cos

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

Complex analysis: Roots

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

Complex analysis: Arithmetic

Richard E Borcherds
25 min
5/5
Complex NumbersArithmeticQuaternions
Formal & Physical Sciences Mathematics
EN

Complex analysis: Introduction

Richard E Borcherds
18 min
4/5
Complex AnalysisCauchy's TheoremAnalytic Continuation
Formal & Physical Sciences Mathematics
EN

Lie groups: Modular function

Richard E Borcherds
28 min
5/5
Lie GroupsModular FunctionInvariant Measure
Formal & Physical Sciences Mathematics
EN

Lie groups: Haar measure

Richard E Borcherds
24 min
5/5
Haar MeasureLie GroupsIntegration
Formal & Physical Sciences Mathematics
EN

Lie groups: Lie's theorem

Richard E Borcherds
23 min
5/5
Lie AlgebrasSolvable Lie AlgebrasLie's Theorem
Formal & Physical Sciences Mathematics
EN

Lie groups: Engel's theorem

Richard E Borcherds
24 min
4/5
Lie AlgebrasEngel's TheoremNilpotent
Formal & Physical Sciences Mathematics
EN

Lie groups: Bianchi classification

Richard E Borcherds
24 min
5/5
Lie GroupsBianchi ClassificationThurston Geometries
Formal & Physical Sciences Mathematics
EN

Lie groups: Poincare-Birkhoff-Witt theorem

Richard E Borcherds
30 min
5/5
Lie GroupsPoincaré-Birkhoff-Witt TheoremUniversal Enveloping Algebra
Formal & Physical Sciences Mathematics
EN

Lie groups: Exponential map

Richard E Borcherds
25 min
5/5
Lie GroupsExponential MapMatrix Groups
Formal & Physical Sciences Mathematics
EN

Lie groups: Lie algebras

Richard E Borcherds
30 min
5/5
Lie GroupsLie AlgebrasJacobi Identity
Formal & Physical Sciences Mathematics
EN

Lie groups: Introduction

Richard E Borcherds
36 min
4/5
Lie GroupsMathematicsGroup Theory
Formal & Physical Sciences Mathematics
EN

Theory of numbers: Gauss's lemma

Richard E Borcherds
28 min
5/5
Number TheoryGauss's LemmaQuadratic Residues
Formal & Physical Sciences Mathematics
EN

Theory of numbers: Quadratic residues

Richard E Borcherds
29 min
5/5
Quadratic ResiduesNumber TheoryLegendre Symbol
Formal & Physical Sciences Mathematics
EN

Theory of numbers: Jacobi symbol

Richard E Borcherds
25 min
5/5
Jacobi SymbolLegendre SymbolQuadratic Reciprocity