Before we get to the good stuff, here’s some quick and dirty context. Algebra is a huge umbrella term within mathematics.

Intended for students with little or no background in basic algebra or whose background is not current. Topics covered include: the real number system, factoring fractions, linear equations, functions ...

An introduction to proofs and the axiomatic methods through a study of the vector space axioms. Linear analytic geometry. Linear dependence and independence, subspaces, basis. Inner products. Matrix ...

This sixth edition of Professor Strang's most popular book, Introduction to Linear Algebra, introduces the ideas of independent columns and the rank and column space of a matrix early on for a more ...

At the risk of resurfacing near-traumatic feelings for any readers, I want to share the introduction to the first chapter of the undergradua ...

The landscape of homological algebra has evolved over the past half-century into a fundamental tool for the working mathematician. This book provides a unified account of homological algebra as it ...

This module is an introduction to the basic notions of algebra, such as sets, numbers, matrices, polynomials and permutations. It not only introduces the topics, but shows how they form examples of ...

Algebra uses letters and symbols in the place of numbers and can be used to simplify expressions. Algebraic notation close algebraic notationA series or system of written symbols used to represent ...

Substitution is the name given to the process of swapping an algebraic letter for its value. Consider the expression 8\({z}\) + 4. This can take on a range of values depending on what number \({z ...