abstract algebra

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abstract algebra

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From 1860, The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science^[1]

• (Received Pronunciation) IPA^(key): /ˈæbˌstɹækt ˈæl.d͡ʒɪ.bɹə/
• (Received Pronunciation) IPA^(key): /ˈæbˌstɹækt ˈæl.d͡ʒə.bɹə/

abstract algebra (uncountable)

1. (mathematics) The branch of mathematics concerned with algebraic structures, such as groups, rings, and fields.
   • 1860, Prof. Challis, VIII: On the possibility of finding a Root, real or imaginary, of every Equation: The London, Edinburgh and Dublin Philosophical Magazine and Journal of Science, page 46:

     The operations are necessarily algebraic, because the relative magnitudes of the given quantities and the quantity sought for are unknown; and it is the essential principle of abstract algebra to furnish rules and symbols of operation which are proper for calculating independently of the knowledge of relative magnitudes.

   • 1973, “AAAS Science Books: A Quarterly Review, Volume 9”, in American Association for the Advancement of Science, page 29:

     This is neither the best nor the worst of the many abstract algebra texts written for advanced undergraduate courses. The author devotes 300 pages to a first course in abstract algebra and 200 pages to a (presumably) second course in linear algebra.

• (branch of algebra): modern algebra

• Appendix:Glossary of abstract algebra

• List of abstract algebra topics on Wikipedia.Wikipedia