Elementary Algebra Basics

The term 'Algebra' originates from the Arabic word 'Al-Jabr', which translates to 'reunion of broken parts' or 'bone-setting'.

Elementary algebra deals with the manipulation of variables as if they were numbers, commonly represented by Roman letters, and is essential in all applications of mathematics.

'Higher' or 'abstract' algebra is the study of algebraic structures that generalize the operations familiar from ordinary arithmetic, such as groups, rings, and fields.

<p>Linear algebra deals with linear equations and linear mappings, and is used for modern presentations of geometry, with practical applications in fields like weather forecasting.</p> Signup and view all the answers

<p>Commutative algebra is an area of mathematics that belongs to algebra, as well as other specialized areas like Galois theory.</p> Signup and view all the answers