Abstract Algebra | ZF Axioms | Math Set Theory | Number Theory | Groups | Quotient Groups | Rings | Commutative Rings | Fields | Actions | Modules | Vector Spaces | Linear Operators and Matrices | Inner Product Spaces | Tensors | Exterior Algebras | Theory | Polynomial Rings | Category Theory | algebra

Abstract Algebra

To me, Algebra is a branch of Mathematics that deals with symbols and the rules for manipulating those symbols. It really is the foundation of all Mathematics because it sets up and sets out the written language of math. Without algebra we would have no powerful method of communicating our Mathematical ideas (to humans or computers) and progress would essentially ground to a halt.

Set Theory

Number Theory

Groups

Quotient Groups

Rings

Commutative Rings

Fields

Actions

Modules

Vector Spaces

Linear Operators and Matrices

Inner Product Spaces

Tensors

Exterior Algebras

Theory

Polynomial Rings

Category Theory

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07dec16   admin