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Abstract_algebra (including recent related patents.)
Abstract algebraAbstract algebra is the field of mathematics concerned with the study of algebraic structures such as groups, rings and fields. The term "abstract algebra" is used to distinguish the field from "elementary algebra" or "high school algebra" which teaches the correct rules for manipulating formulas and algebraic expressions involving real and complex numbers. Historically, algebraic structures usually arose first in some other field of mathematics, were specified axiomatically, and were then studied in their own right in abstract algebra. Because of this, abstract algebra has numerous fruitful connections to all other branches of mathematics. Examples of algebraic structures with a single binary operation are: More complicated examples include:
This article is adapted from from Wikipedia All Wikipedia article text is available under the terms of the GNU Free Documentation License Schaum's Outline of Modern Abstract Algebra (Schaum's) by Frank Ayres Schaum's Outline of Discrete Mathematics (Schaum's) by Seymour Lipschutz A First Course in Abstract Algebra, Seventh Edition by John B. Fraleigh An Introduction to Algebraic Structures by Joseph Landin Introduction to Lattices and Order by B. A. Davey Contemporary Abstract Algebra by Joseph Gallian Abstract Algebra, 3rd Edition by I. N. Herstein Lie Algebras in Particle Physics (Frontiers in Physics) by Howard Georgi Advanced Modern Algebra by Joseph J. Rotman Abstract Algebra, 2nd Edition by David S. Dummit Abstract Algebra by W. E. Deskins The Sensual (Quadratic) Form by John Horton Conway Introduction to Lie Algebras and Representation Theory (Graduate Texts in Mathematics, 9) by James E. Humphreys Algebraic Theory of Numbers by Hermann Weyl Basic Abstract Algebra by P. B. Bhattacharya Recent Abstract_algebra related patents From USPTO: |