Formal & Physical Sciences MathematicsENLie groups: Poincare-Birkhoff-Witt theoremRichard E BorcherdsFebruary 19, 2021 30 min★ ★ ★ ★ ★ 5/5Lie GroupsPoincaré-Birkhoff-Witt TheoremUniversal Enveloping Algebra
Formal & Physical Sciences MathematicsENLie groups: Baker Campbell Hausdorff formulaRichard E BorcherdsFebruary 18, 2021 25 min★ ★ ★ ★ ★ 5/5Lie GroupsLie AlgebrasBaker-Campbell-Hausdorff
Formal & Physical Sciences MathematicsENLie groups: Exponential mapRichard E BorcherdsFebruary 17, 2021 25 min★ ★ ★ ★ ★ 5/5Lie GroupsExponential MapMatrix Groups
Formal & Physical Sciences MathematicsENLie groups: Lie groups and Lie algebrasRichard E BorcherdsFebruary 16, 2021 36 min★ ★ ★ ★ ★ 5/5Lie GroupsLie AlgebrasSimply Connected
Formal & Physical Sciences MathematicsENLie groups: Lie algebrasRichard E BorcherdsFebruary 15, 2021 30 min★ ★ ★ ★ ★ 5/5Lie GroupsLie AlgebrasJacobi Identity
Formal & Physical Sciences MathematicsENLie groups: IntroductionRichard E BorcherdsFebruary 14, 2021 36 min★ ★ ★ ★ ☆ 4/5Lie GroupsMathematicsGroup Theory
Formal & Physical Sciences MathematicsENLec 19 Eigen values and Eigen functionPhysics LecturesFebruary 14, 2021 30 min★ ★ ★ ★ ☆ 4/5Quantum MechanicsEigenvaluesEigenfunctions
Formal & Physical Sciences MathematicsENTheory of numbers: Quadratic reciprocityRichard E BorcherdsFebruary 12, 2021 28 min★ ★ ★ ★ ★ 5/5Quadratic ReciprocityNumber TheoryGauss Sums
Formal & Physical Sciences MathematicsENTheory of numbers: Gauss's lemmaRichard E BorcherdsFebruary 11, 2021 28 min★ ★ ★ ★ ★ 5/5Number TheoryGauss's LemmaQuadratic Residues
Formal & Physical Sciences MathematicsENTheory of numbers: Quadratic residuesRichard E BorcherdsFebruary 10, 2021 29 min★ ★ ★ ★ ★ 5/5Quadratic ResiduesNumber TheoryLegendre Symbol
Formal & Physical Sciences MathematicsENTheory of numbers: Jacobi symbolRichard E BorcherdsFebruary 10, 2021 25 min★ ★ ★ ★ ★ 5/5Jacobi SymbolLegendre SymbolQuadratic Reciprocity
Formal & Physical Sciences MathematicsENTheory of numbers: Chevalley-Warning theoremRichard E BorcherdsFebruary 9, 2021 19 min★ ★ ★ ★ ★ 5/5Number TheoryChevalley-WarningFinite Fields
Formal & Physical Sciences MathematicsENBirch Swinnerton-Dyer conjecture: IntroductionRichard E BorcherdsFebruary 8, 2021 37 min★ ★ ★ ★ ★ 5/5Birch Swinnerton-Dyer ConjectureElliptic CurvesL-Functions
Formal & Physical Sciences MathematicsENTheory of numbers: RSA cryptographyRichard E BorcherdsFebruary 6, 2021 24 min★ ★ ★ ★ ★ 5/5RSACryptographyNumber Theory
Formal & Physical Sciences MathematicsENDedekind domains: IntroductionRichard E BorcherdsFebruary 5, 2021 24 min★ ★ ★ ★ ★ 5/5Dedekind DomainsCommutative AlgebraAlgebraic Number Theory
Formal & Physical Sciences MathematicsENIs the Conway knot slice? (After Lisa Piccirillo)Richard E BorcherdsFebruary 4, 2021 24 min★ ★ ★ ★ ☆ 4/5Knot TheorySlice KnotsConway Knot
Formal & Physical Sciences MathematicsENWilson's theoremRichard E BorcherdsFebruary 3, 2021 28 min★ ★ ★ ★ ★ 5/5Number TheoryWilson's TheoremPrimitive Roots
Formal & Physical Sciences MathematicsENTheory of numbers: Congruences: Primitive rootsRichard E BorcherdsFebruary 2, 2021 31 min★ ★ ★ ★ ★ 5/5Number TheoryPrimitive RootsCongruences
Formal & Physical Sciences MathematicsENTheory of numbers: Congruences: Chinese remainder theoremRichard E BorcherdsFebruary 1, 2021 29 min★ ★ ★ ★ ★ 5/5Chinese Remainder TheoremNumber TheoryCongruences
Formal & Physical Sciences MathematicsENTheory of numbers: Congruences: Euler's theoremRichard E BorcherdsJanuary 31, 2021 26 min★ ★ ★ ★ ★ 5/5Euler's TheoremNumber TheoryGroup Theory
Formal & Physical Sciences MathematicsENTheory of numbers: Prime testsRichard E BorcherdsJanuary 30, 2021 19 min★ ★ ★ ★ ★ 5/5Number TheoryPrimality TestFermat's Little Theorem
Formal & Physical Sciences MathematicsENTheory of numbers: Fermat's theoremRichard E BorcherdsJanuary 29, 2021 27 min★ ★ ★ ★ ★ 5/5Fermat's TheoremNumber TheoryModular Arithmetic
Formal & Physical Sciences MathematicsENTheory of numbers: Congruences: IntroductionRichard E BorcherdsJanuary 28, 2021 25 min★ ★ ★ ★ ☆ 4/5CongruencesNumber TheoryModular Arithmetic
Formal & Physical Sciences MathematicsENTheory of numbers: Dirichlet seriesRichard E BorcherdsJanuary 27, 2021 38 min★ ★ ★ ★ ★ 5/5Dirichlet SeriesArithmetic FunctionsEuler Product
Formal & Physical Sciences MathematicsENTheory of numbers: Multiplicative functionsRichard E BorcherdsJanuary 26, 2021 30 min★ ★ ★ ★ ★ 5/5Number TheoryMultiplicative FunctionsDivisor Function
Formal & Physical Sciences MathematicsENTheory of numbers: Fundamental theorem of arithmeticRichard E BorcherdsJanuary 25, 2021 24 min★ ★ ★ ★ ★ 5/5Number TheoryFundamental Theorem of ArithmeticEuclid's Algorithm
Formal & Physical Sciences MathematicsENÉcart typeStandard deviationThierry AncelleJanuary 25, 2021 10 min★ ★ ★ ★ ☆ 4/5Standard DeviationStatisticsVariance
Formal & Physical Sciences MathematicsEN1st Semester | Numerical Problems | Chapter 4Physics for UnderGraduatesJanuary 25, 2021 34 min★ ★ ☆ ☆ ☆ 2/5ElectricityMagnetismNumerical Problems
Formal & Physical Sciences MathematicsENTheory of numbers: Linear Diophantine equationsRichard E BorcherdsJanuary 24, 2021 26 min★ ★ ★ ★ ★ 5/5Diophantine EquationsEuclid's AlgorithmNumber Theory
Formal & Physical Sciences MathematicsENTheory of numbers: Euclid's algorithmRichard E BorcherdsJanuary 23, 2021 26 min★ ★ ★ ★ ★ 5/5Euclid's AlgorithmGreatest Common DivisorNumber Theory
Formal & Physical Sciences MathematicsENTheory of numbers: Euclid's theoremRichard E BorcherdsJanuary 22, 2021 21 min★ ★ ★ ★ ★ 5/5Number TheoryPrimesEuclid
Formal & Physical Sciences MathematicsENTheory of numbers:IntroductionRichard E BorcherdsJanuary 21, 2021 49 min★ ★ ★ ★ ★ 5/5Number TheoryPrimesDiophantine Equations
Formal & Physical Sciences MathematicsENGalois theory: Transcendental extensionsRichard E BorcherdsJanuary 19, 2021 34 min★ ★ ★ ★ ★ 5/5Galois TheoryTranscendental ExtensionsTranscendence Basis
Formal & Physical Sciences MathematicsENGalois theory: Infinite Galois extensionsRichard E BorcherdsJanuary 18, 2021 36 min★ ★ ★ ★ ★ 5/5Galois TheoryInfinite ExtensionsProfinite Groups
Formal & Physical Sciences MathematicsENDivergence and Curl of a Vector Function - BSc Physics Series - by Shilpy Bhullar (Hindi/English)Shilpy BhullarJanuary 18, 2021 24 min★ ★ ★ ☆ ☆ 3/5DivergenceCurlVector Calculus
Formal & Physical Sciences MathematicsENGalois theory: Hilbert's theorem 90Richard E BorcherdsJanuary 17, 2021 35 min★ ★ ★ ★ ★ 5/5Galois TheoryHilbert's Theorem 90Group Cohomology
Formal & Physical Sciences MathematicsENGalois theory: DiscriminantsRichard E BorcherdsJanuary 16, 2021 17 min★ ★ ★ ★ ★ 5/5Galois TheoryDiscriminantField Extension
Formal & Physical Sciences MathematicsENGalois theory: Norm and traceRichard E BorcherdsJanuary 15, 2021 24 min★ ★ ★ ★ ★ 5/5Galois TheoryField ExtensionNorm
Formal & Physical Sciences MathematicsENGalois theory: Wedderburn's theoremRichard E BorcherdsJanuary 14, 2021 14 min★ ★ ★ ★ ★ 5/5Wedderburn's TheoremDivision AlgebraFinite Field
Formal & Physical Sciences MathematicsENGalois theory: Cyclotomic polynomialsRichard E BorcherdsJanuary 13, 2021 22 min★ ★ ★ ★ ★ 5/5Galois TheoryCyclotomic PolynomialsIrreducibility