Algebra

Manipulaciones algebraicas con raíces | Técnicas esenciales

Algebraic manipulations with roots | Essential techniques

The Four Fundamental Subspaces and Least Squares

Elimination and Factorization A = CR

Linear Algebra for Machine Learning

Vinberg lecture part 3. Kac-Moody algebras

UofM - MATH2740 - Lecture 09 - Part 1 - SVD (an example by hand)

UofM - MATH 2740 - Lecture 11 - Part 2 - Examples of change of basis

UofM - MATH 2740 - Lecture 09 - Part 2 - SVD and pseudo-inverse (example)

UofM - MATH 2740 - Lecture 08 - Part1 - SVD (theory)

UofM - MATH 2740 - Lecture 08 - Part 2 - SVD (image compression in R)

UofM - MATH 2740 - Lecture 07 - Part 2 - SVD (theory)

UofM - MATH 2740 - Lecture 06 - Part 1 - QR factorisation (theory)

RIngs 22 Hensel's lemma

Rings 21 Formal power series

Rings 20 Resultants

RIngs 19 Symmetric functions

Rings 18 Hilbert's theorems

Rings 17 Noetherian rings

Rings 16 Factorization of polynomials

RIngs 15 Polynomials

RIngs 14 Limits and exactness

Rings 13 Colimits and exactness

Rings 12 Duality and injective modules

Categories 6 Monoidal categories

Rings 11 Tensor products of modules

Rings 9 Projective modules

Rings 8 Free modules

RIngs 7: Localization

Rings 6 Prime and maximal ideals

Rings and modules 5 Examples of unique factorizations

Rings and modules 4 Unique factorization

Rings and midules 3: Burnside ring and rings of differential operators

Rings and modules 2: Group rings

Rings and modules 1 Introduction

Categories 5 Limits and colimits

Categories 2: Functors

Categories 1 Introduction

Lie groups: Poincare-Birkhoff-Witt theorem

Dedekind domains: Introduction

Galois theory: Transcendental extensions