Abstract Algebra
Guide Note: Abstract Algebra is an area of mathematics that studies algebraic structures. Some of those structures are groups, rings, fields, vector, and modules.
Fast Facts:
- Linear Algebra is a vector concept of abstract algebra
- Contemporary and mathematical physics use abstract algebra
- Basic ideas from number theory are necessary to study abstract algebra
The Mahalo Top 7
- Wikipedia: Abstract Algebra | List of Abstract Algebra Topics
- University of Chicago Department of Mathematics: Abstract Algebra
- University of Iowa Department of Mathematics: Algebra: Abstract and Concrete
- PlanetMath.org: Concepts in Abstract Algebra
- Wolfram Math World: Abstract Algebra
- University of St. Andrews: Abstract Group Concept
- Mahalo's Guide to: Mathematics | Algebra | Linear Algebra
Abstract Algebra History
- University of St. Andrews: Overview History of Mathematics
- Central College: Links to History of Abstract Algebra
- Wikipedia: Abstract Algebra History
- University of Louisiana Lafayette: History of Algebra
Notable Figures in Abstract Algebra
- mathNEWS: Emmy Noether: The Mother of Abstract Algebra
- University of St. Andrews: Niels Henrik Abel
- Wikipedia: Emil Artin
- Wikipedia: Leonhard Euler
- Wikipedia: Leopold Kronecker
- University of St. Andrews: Joseph-Louis Lagrange
- Wikipedia: Arthur Cayley
- Wikipedia: Ernst Steinitz
Abstract Algebra Education Resources
- Central College: Innovations in Teaching Abstract Algebra
- Northern Illinois University Department of Mathematical Sciences: Abstract Algebra Online Study Guide
- University of Minnesota Duluth: Resources for Abstract Algebra | Interactive Abstract Algebra Applet
- Algebra Homework Help: Abstract Algebra
- Algebra.help: Algebra Help for Students, Teachers, & Parents
Abstract Algebra Forums
- University of Miami Department of Mathematics: Abstract and Linear Algebra Forum
- Physics Forum: Linear and Abstract Algebra Forum
- Math Help Forum: Advanced Algebra
- MathLinks: Algebra Forum
Abstract Algebra Books and Publications
- Waveland Press Inc: Abstract Algebra 3rd Edition
- Wolfram Research: Exploring Abstract Algebra with Mathematics
- Amazon.com: History of Abstract Algebra
- Google Book Search: Abstract Algebra
Abstract Algebra Theories
- University of St. Andrews: Group Theory
- Northern Illinois University Department of Mathematical Sciences: Galois Theory | Number Theory | List of Theorems
- Wikipedia: Category Theory
Abstract Algebra Fun Stuff
- Kenyon College: Abstract Algebra Project
- HostSRV.com: The Morphism Game
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