| Share
 

algebra

Principles of Modern Algebra

Modern algebra is yet a further generalization of arithmetic than is classical algebra. It deals with operations that are not necessarily those of arithmetic and that apply to elements that are not necessarily numbers. The elements are members of a set and are classed as a group, a ring, or a field according to the axioms that are satisfied under the particular operations defined for the elements. Among the important concepts of modern algebra are those of a matrix and of a vector space.

Sections in this article:

The Columbia Electronic Encyclopedia, 6th ed. Copyright © 2012, Columbia University Press. All rights reserved.

More on algebra Principles of Modern Algebra from Infoplease:

  • algebra: Principles of Modern Algebra - Principles of Modern Algebra Modern algebra is yet a further generalization of arithmetic than is ...
  • algebra - algebra algebra, branch of mathematics concerned with operations on sets of numbers or other ...

See more Encyclopedia articles on: Mathematics

24 X 7

Private Tutor

Click Here for Details
24 x 7 Tutor Availability
Unlimited Online Tutoring
1-on-1 Tutoring
Expert Tutors for Math Help & Algebra Help