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The field of algebra is further divided according to which structure is studied; for instance, group theory concerns an algebraic structure called group. Outline of algebra; Glossary of field theory; Glossary of group theory; Glossary of linear algebra; Glossary of ring theory; List of abstract algebra topics; List of algebraic structures
Unlike abstract algebra, elementary algebra is not concerned with algebraic structures outside the realm of real and complex numbers. It is typically taught to secondary school students and at introductory college level in the United States, [4] and builds on their understanding of arithmetic. The use of variables to denote quantities allows ...
College algebra is offered at many community colleges as remedial courses for students who did not pass courses before Calculus. [69] It should not be confused with abstract algebra and linear algebra, taken by students who major in mathematics and allied fields (such as computer science) in four-year colleges and universities.
They'd be wise not just to restrict themselves to this, but to step up to the list of lists and discover that (i) Boolean algebra is related to topics under both algebra and logic, (ii) see that there is a glossary of ring theory, (iii) see that Boolean algebra is related to commutative algebra and so take a look at the List of commutative ...
Algebra is one of the main branches of mathematics, covering the study of structure, relation and quantity. Algebra studies the effects of adding and multiplying numbers , variables , and polynomials , along with their factorization and determining their roots .
Algebra is the branch of mathematics that studies certain abstract systems, known as algebraic structures, and the manipulation of expressions within those systems. It is a generalization of arithmetic that introduces variables and algebraic operations other than the standard arithmetic operations, such as addition and multiplication.