Linear Algebra WebNotes by Dr. Mark Sapir:
Complete textbook based on class notes. Includes examples of how to
do proofs. Gives online access to Maple software. A tester generates
different questions, but only the pre-linear algebra tester software
is available to the public. Must register to use.
http://www.math.vanderbilt.edu/~msapir/cgi-bin/visit.cgi
Abstract Algebra Online:
Contains many of the definitions and theorems from the area of
mathematics generally called abstract algebra. Intended for
undergraduate students taking an abstract algebra class at the
junior/senior level, as well as for students taking their first
graduate algebra course.
http://www.math.niu.edu/~beachy/aaol/
Intro to Abstract Algebra:
Paul Garrett's detailed and comprehensive lecture notes in abstract
algebra.
http://www.math.umn.edu/~garrett/m/intro_algebra/index.shtml
Algebra Bibliography:
Available by FTP in BibTeX format.
ftp://pell.anu.edu.au/pub/bib/
Octonions and Sedenions:
Enter the world of 8 and 16 dimensional hypercomplex numbers and
discover that the laws that we take as granted do not always hold.
http://www.geocities.com/zerodivisor/
IDA: Algebra Interactive:
An HTML-based book by Arjeh M. Cohen, Hans Cuypers and Hans Sterk.
It focuses on an algorithmic approach to algebraic structures. Many
of these tools and examples use the computer algebra package GAP.
Site has samples and errata.
http://www.win.tue.nl/~ida/
Algebraic Areas of Mathematics:
Topics include number theory, groups and sets, commutative rings,
algebraic geometry, and linear algebra.
http://www.math.niu.edu/~rusin/known-math/index/tour_alg.html
A Catalogue of Lattices:
By Gabriele Nebe and Neil Sloane.
http://www.research.att.com/~njas/lattices/
Abstract Algebra:
Lecture notes by David Wilkins, Trinity College, Dublin. Topics in
Number Theory; Group Theory; Galois Theory.
http://www.maths.tcd.ie/~dwilkins/Courses/311/
Quantum Lie Algebras:
Current status of research on Quantum Lie algebras and bibliography.
Includes Mathematica notebooks for calculations and animations of
quantum root systems.
http://www-users.york.ac.uk/~gwd2/q-lie.html
Robbins Algebras Are Boolean:
A web text by William McCune describing the solution of this problem
by a theorem-proving program, with input files and the proofs.
http://www-unix.mcs.anl.gov/~mccune/papers/robbins/
Center for Commutative Algebra:
A site for the commutative algebra community, including news,
conference and preprint announcements, and a huge list of
algebraists.
http://www.commalg.org/
Algebra Links:
From Spartanburg County School District Two.
http://www.spartanburg2.k12.sc.us/links/algebra.htm
Dave's Short Course on Complex Numbers:
An introduction with math and a little history intended for those
having a familiarity with ordinary real numbers and algebra.
http://www.clarku.edu/~djoyce/complex/
Groupoid Home Page:
Maintained by Birant Ramazan at the Institute of Mathematics of the
Romanian Academy.
http://pompeiu.imar.ro/~ramazan/groupoid/
Univalg Mailing List:
Mailing list for use by the Universal Algebra community. Universal
Algebra is a technical branch of mathematics related to algebra and
model theory.
http://groups.yahoo.com/group/univalg/
Catalogue of Algebraic Systems.:
Summary of and links to online materials concerning algebraic
systems: semigroups, groups, rings, algebras, groupoids, and
categories.
http://www.math.usf.edu/~eclark/algctlg/
Math Forum: Algebra Problem of the Week:
A weekly interactive project for algebra on the Internet.
Challenging problems are posted and solutions appear on the Web.
http://mathforum.org/algpow/
Grassmann Algebra:
A draft text by John Browne: Exploring applications of extended
vector algebra with Mathematica. PDF.
http://www.ses.swin.edu.au/homes/browne/grassmannalgebra/book/
FDLIST:
Information on representation theory of finite dimensional algebras.
Papers, meetings, places, people, jobs, journals, software.
http://www.mathematik.uni-bielefeld.de/birep/fdlist.html
Real Reductive Lie Groups:
Notes for lectures by Amer Habib at the Mehta Research Institute in
1997-98. DVI, PS.
http://www.mri.ernet.in/~mathweb/lecture/habib-reductive97/
Abstract and Linear Algebra:
A forum for students on abstract algebra and linear algebra.
http://www.math.miami.edu/forum/algebra/
Arxiv: AC Commutative Algebra:
Articles cover commutative rings, modules, ideals, homological
algebra, computational aspects, invariant theory, connections to
algebraic geometry and combinatorics.
http://front.math.ucdavis.edu/math.AC
Macdonald Polynomial Page:
Includes information about the Ribbon Rule, as well as link about
symmetric functions and representation theory.
http://garsia.math.yorku.ca/MPWP/
Home Page of J. S. Milne:
Includes preprints and course notes on Group Theory, Fields and
Galois Theory, Algebraic Geometry, Algebraic Number Theory,Modular
Functions and Modular Forms, Elliptic Curves, Abelian Varieties,
Etale Cohomology, and Class Field Theory.
http://www.jmilne.org/math/
