PRIME

Platonic

Realms

Interactive

Mathematics

Encyclopedia

 

algebra

In general, algebra refers to abstract arithmetic, i.e., the general study of arithmetical operations on sets of numbers. In everyday mathematics this typically involves efficiently manipulating expressions or equations involving arthmetical operations, often to determine a value or set of values for an unknown quantity.

In abstract algebra an algebra is a vector space over a set of scalars that satisfies left- and right-distributivity of vector product and whose vector operations commute with the scalars.

The term algebra may be used more loosely to refer to any set with a structure in which operations on the elements may be defined.

Contributors

  • B. Sidney Smith, author

Citation Info

  • [MLA] Smith, B. Sidney. "algebra." Platonic Realms Interactive Mathematics Encyclopedia. Platonic Realms, 21 Feb 2013. Web. 29 Mar 2017. <http://platonicrealms.com/>
  • [APA] Smith, B. Sidney (21 Feb 2013). algebra. Retrieved 29 Mar 2017 from the Platonic Realms Interactive Mathematics Encyclopedia: http://platonicrealms.com/encyclopedia/algebra/
Algebra Word-Cloud image

Algebra Word-Cloud

All of the most important vocabulary in the study of high school and college algebra, beautifully laid out in a colorful, high-quality poster. New, larger size!

Advertisement

Get the ultimate math study-guide Math & Me: Embracing Successproduct thumbnail image Available in the Math Store
detail from Escher pic Belvedere

Are you a mathematical artist?

Platonic Realms is preparing an online gallery space to showcase and market the works of painters, sculptors, and other artists working in a tangible medium.

If your work celebrates mathematical themes we want to hear from you!

Please let us know about yourself using the contact page.