Algebra and Applications - Links

 

Syllabus
Lectures
Problem Sets
Tests
Links

 

Links to Important Mathematicians in Algebra

Claude Shannon
Ernst Witt
Paul Erdos
Hanning
Golay
Dave Forney
Hamilton
Andrew Viterbi
Muller
Reed
Solomon
N.J.A Sloane - scientific american article about sphere packing

Interesting Links for learning Abstract Algebra

Gallian's True/False Algebra questions
Algebra lab course with GAP software

Algebra lab course with Maple software
Exploring Abstract Algebra with Mathematica
* Math Archives, Topics in Mathematics, Abrstract Algebra - very extensive list of resources in Abstract Algebra complete with topics, source and technologies used.
Hamming Error Correcting Code Animation - by Robert McEliece at Caltech
* MacTutor History of Mathematics - history of mathematicians important to abstract algebra, complete with biography, major accomplishments, picture, and cross references.
History - The Development of Group Theory

Courses at Other Universities

Abstract Algebra, Trinity College, Dublin, 2001-02 with handouts of problems
* Abstract Algebra Online following book by Beachy and Blair contains a list of the definitions and theorems needed for undergraduate study. Related Study Guide contains problems and solutions.
Abstract Algebra: The Basic Graduate Year University of Illinois. "A student-oriented text covering the standard first year graduate course in algebra. Solutions to all problems are included and some of the reasoning is informal."
Intro to Abstract Algebra - U of Minnesota, has little quizes with solutions.

Visualizations

JavaApplet of S4 - Visual representation
JavaApplet of Groups of order 1-15
Instructional Program on Groups of order 1-32
* Interactive 3D Graphics - from Algebra: Abstract and Concrete U of Iowa
LiveGraphics 3D Applets - from the Mathematica website, these are mathematical models, not necessarily related to Algebra.

* excellent, useful site