Richard E Borcherds

@richarde.borcherds7998

457 tuit · page 2/12

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 26. Roots of polynomials modulo a prime.

Richard E Borcherds

March 1, 2022 17 min

★ ★ ★ ★ ★ 5/5

Number TheoryPolynomialsModular Arithmetic

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 25. Quadratic equations mod p.

Richard E Borcherds

February 27, 2022 21 min

★ ★ ★ ★ ★ 5/5

Number TheoryQuadratic ResiduesSquare Roots

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 24. Primitive roots for prime powers

Richard E Borcherds

February 25, 2022 20 min

★ ★ ★ ★ ★ 5/5

Number TheoryPrimitive RootsPrime Powers

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 23. Primitive roots.

Richard E Borcherds

February 23, 2022 35 min

★ ★ ★ ★ ★ 5/5

Number TheoryPrimitive RootsModular Arithmetic

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 22. Chevalley-Warning theorem

Richard E Borcherds

February 21, 2022 16 min

★ ★ ★ ★ ★ 5/5

Number TheoryChevalley-Warning TheoremFinite Fields

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 21. Congruences modulo a prime.

Richard E Borcherds

February 19, 2022 38 min

★ ★ ★ ★ ★ 5/5

Number TheoryCongruencesPrime Numbers

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 20. p-adic numbers.

Richard E Borcherds

February 17, 2022 28 min

★ ★ ★ ★ ★ 5/5

Number TheoryP-Adic NumbersHensel's Lemma

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 19. Hensel and Newton's method

Richard E Borcherds

February 15, 2022 31 min

★ ★ ★ ★ ★ 5/5

Number TheoryHensel's LemmaNewton's Method

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 18. Cryptography

Richard E Borcherds

February 13, 2022 37 min

★ ★ ★ ★ ☆ 4/5

Number TheoryCryptographyRSA

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 17. Factorization.

Richard E Borcherds

February 11, 2022 22 min

★ ★ ★ ★ ★ 5/5

Number TheoryFactorizationPollard's Rho

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 16. More numerical calculation

Richard E Borcherds

February 9, 2022 25 min

★ ★ ★ ★ ☆ 4/5

Number TheoryAlgorithmsModular Arithmetic

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 15. Numerical calculation

Richard E Borcherds

February 7, 2022 40 min

★ ★ ★ ★ ★ 5/5

Number TheoryAlgorithmsComplexity

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 14. Euler's totient function

Richard E Borcherds

February 5, 2022 48 min

★ ★ ★ ★ ★ 5/5

Euler's TotientNumber TheoryMultiplicative Function

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 13. The Chinese remainder theorem.

Richard E Borcherds

February 3, 2022 34 min

★ ★ ★ ★ ★ 5/5

Number TheoryChinese Remainder TheoremCongruences

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 12 Wilson's theorem

Richard E Borcherds

February 1, 2022 29 min

★ ★ ★ ★ ★ 5/5

Number TheoryWilson's TheoremModular Arithmetic

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 11. Euler's theorem

Richard E Borcherds

January 31, 2022 35 min

★ ★ ★ ★ ★ 5/5

Number TheoryEuler's TheoremFermat's Theorem

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 10. Fermat's theorem

Richard E Borcherds

January 30, 2022 28 min

★ ★ ★ ★ ★ 5/5

Number TheoryFermat's TheoremModular Arithmetic

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 9: Congruences

Richard E Borcherds

January 28, 2022 40 min

★ ★ ★ ★ ★ 5/5

Number TheoryCongruencesFermat's Theorem

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 8. Applications of binomial coefficients

Richard E Borcherds

January 25, 2022 43 min

★ ★ ★ ★ ★ 5/5

Binomial CoefficientsNumber TheoryPrime Numbers

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 7. Binomial coefficients.

Richard E Borcherds

January 24, 2022 41 min

★ ★ ★ ★ ★ 5/5

Binomial CoefficientsNumber TheoryPascal's Triangle

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 6. Multiplicative functions.

Richard E Borcherds

January 22, 2022 32 min

★ ★ ★ ★ ★ 5/5

Number TheoryMultiplicative FunctionsPerfect Numbers

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 5. Primes.

Richard E Borcherds

January 20, 2022 44 min

★ ★ ★ ★ ★ 5/5

Number TheoryPrimesFundamental Theorem of Arithmetic

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 4. More on Euclid's algorithm

Richard E Borcherds

January 18, 2022 28 min

★ ★ ★ ★ ★ 5/5

Euclid's AlgorithmDiophantine EquationsNumber Theory

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 3: Divisibility and Euclid's algorithms.

Richard E Borcherds

January 17, 2022 42 min

★ ★ ★ ★ ★ 5/5

Number TheoryDivisibilityEuclid's Algorithm

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 2: Survey.

Richard E Borcherds

January 15, 2022 32 min

★ ★ ★ ★ ★ 5/5

Number TheoryCongruencesQuadratic Reciprocity

Formal & Physical Sciences Mathematics

Introduction to number theory lecture 1

Richard E Borcherds

January 13, 2022 44 min

★ ★ ★ ★ ★ 5/5

Number TheoryPrimesRiemann Zeta Function

Formal & Physical Sciences Mathematics

Zermelo Fraenkel Choice

Richard E Borcherds

December 4, 2021 20 min

★ ★ ★ ★ ★ 5/5

Axiom of ChoiceSet TheoryZermelo-Fraenkel

Formal & Physical Sciences Mathematics

Zermelo Fraenkel Separation and replacement

Richard E Borcherds

December 2, 2021 17 min

★ ★ ★ ★ ★ 5/5

Set TheoryZermelo-FraenkelAxioms

Formal & Physical Sciences Mathematics

Zermelo Fraenkel Powerset

Richard E Borcherds

November 30, 2021 17 min

★ ★ ★ ★ ★ 5/5

Set TheoryPowerset AxiomZermelo-Fraenkel

Formal & Physical Sciences Mathematics

Zermelo Fraenkel Infinity

Richard E Borcherds

November 28, 2021 17 min

★ ★ ★ ★ ★ 5/5

Set TheoryAxiom of InfinityZermelo-Fraenkel

Formal & Physical Sciences Mathematics

Zermelo Fraenkel Pairing and union

Richard E Borcherds

November 26, 2021 12 min

★ ★ ★ ★ ★ 5/5

Set TheoryZFCAxioms

Formal & Physical Sciences Mathematics

Zermelo Fraenkel Foundation

Richard E Borcherds

November 24, 2021 23 min

★ ★ ★ ★ ★ 5/5

Set TheoryAxiom of FoundationWell-Foundedness

Formal & Physical Sciences Mathematics

Zermelo Fraenkel Extensionality

Richard E Borcherds

November 22, 2021 15 min

★ ★ ★ ★ ★ 5/5

Set TheoryAxiom of ExtensionalityZermelo-Fraenkel

Formal & Physical Sciences Mathematics

Zermelo Fraenkel Introduction

Richard E Borcherds

November 20, 2021 21 min

★ ★ ★ ★ ★ 5/5

Set TheoryZermelo-FraenkelAxioms

Formal & Physical Sciences Mathematics

Cayley's tree formula (after Andre Joyal)

Richard E Borcherds

November 14, 2021 11 min

★ ★ ★ ★ ★ 5/5

Cayley's FormulaCombinatoricsTree Counting

Formal & Physical Sciences Mathematics

Categories 7 Yoneda's lemma

Richard E Borcherds

November 12, 2021 25 min

★ ★ ★ ★ ★ 5/5

Yoneda's LemmaCategory TheoryRepresentable Functors

Formal & Physical Sciences Mathematics

RIngs 22 Hensel's lemma

Richard E Borcherds

October 30, 2021 18 min

★ ★ ★ ★ ★ 5/5

Hensel's LemmaP-Adic NumbersPower Series

Formal & Physical Sciences Mathematics

Rings 21 Formal power series

Richard E Borcherds

October 29, 2021 38 min

★ ★ ★ ★ ★ 5/5

Formal Power SeriesNoetherian RingsUnique Factorization Domain

Formal & Physical Sciences Mathematics

Rings 20 Resultants

Richard E Borcherds

October 28, 2021 23 min

★ ★ ★ ★ ★ 5/5

ResultantDiscriminantSylvester Matrix

Formal & Physical Sciences Mathematics

RIngs 19 Symmetric functions

Richard E Borcherds

October 27, 2021 27 min

★ ★ ★ ★ ★ 5/5

Symmetric FunctionsElementary Symmetric PolynomialsNewton's Identities