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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
Students typically begin by learning about real numbers and basic number theory (prime numbers, prime factorization, fundamental theorem of arithmetic, ratios, and percentages), topics needed for algebra (powers, roots, graphing, order of operations, variables, expressions, and scientific notation) and geometry (quadrilaterals, polygons, areas ...
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 .
List of commutative algebra topics; Comparison of vector algebra and geometric algebra; ... List of order theory topics; List of order structures in mathematics; P.
This is a list of algebraic number theory topics. Basic topics. These topics are basic to the field, either as prototypical examples, or as basic objects of study.
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.