Applied abstract algebra Pdf

Abstract algebra is a branch of mathematics that studies the algebraic structures behind mathematical objects such as groups, fields, and vector spaces. As a formalization of algebraic theory, abstract algebra emerged through the study of polynomial equations, yet it soon became an axiomatic theory in its own right.

 

Abstract algebra is a branch of mathematics concerned with the study of mathematical structures. In contrast with other branches of algebra, which deal primarily with problems concerning numbers, abstract algebra deals more with properties and relations of mathematical structures, such as groups, rings, and fields.

 

Abstract algebra is a branch of mathematics concerned with the study of algebraic structures. In this sense, it is a branch of mathematical structure theory. It allows results to be gained that are valid across all fields of mathematics, and on a variety of levels: from the most elementary properties (such as groups), to abstract questions such as the nature of finiteness in higher categories .