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Questions and Answers
What is algebra and what does it study?
Algebra is the study of variables and the rules for manipulating these variables in formulas. It is a unifying thread of almost all of mathematics.
What is the difference between elementary algebra and abstract algebra?
Elementary algebra deals with the manipulation of variables as if they were numbers and is essential in all applications of mathematics. Abstract algebra is the study of algebraic structures such as groups, rings, and fields.
What is the role of linear algebra in geometry?
Linear algebra is used for modern presentations of geometry and deals with linear equations and linear mappings.
Give an example of a branch of mathematics that belongs to algebra.
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What is the origin of the word 'algebra'?
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