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Abstract Algebra Online - http://www.math.niu.edu/~beachy/aaol/
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. |
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Math Forum: Algebra Problem of the Week - http://mathforum.org/algpow/
A weekly interactive project for algebra on the Internet. Challenging problems are posted and solutions appear on the Web. |
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Home Page of J. S. Milne - http://www.jmilne.org/math/
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. |
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A Catalogue of Lattices - http://www.research.att.com/~njas/lattices/
By Gabriele Nebe and Neil Sloane. |
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Dave's Short Course on Complex Numbers - http://www.clarku.edu/~djoyce/complex/
An introduction with math and a little history intended for those having a familiarity with ordinary real numbers and algebra. |
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Abstract Algebra - http://www.maths.tcd.ie/~dwilkins/Courses/311/
Lecture notes by David Wilkins, Trinity College, Dublin. Topics in Number Theory; Group Theory; Galois Theory. |
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Center for Commutative Algebra - http://www.commalg.org/
A site for the commutative algebra community, including news, conference and preprint announcements, and a huge list of algebraists. |
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IDA: Algebra Interactive - http://www.win.tue.nl/~ida/
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. |
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Algebraic Areas of Mathematics - http://www.math.niu.edu/~rusin/known-math/index/tour_alg.html
Topics include number theory, groups and sets, commutative rings, algebraic geometry, and linear algebra. |
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Robbins Algebras Are Boolean - http://www.cs.unm.edu/~mccune/papers/robbins/
A web text by William McCune describing the solution of this problem by a theorem-proving program, with input files and the proofs. |
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Lecture Notes in Algebra and Number Theory - http://www.maths.gla.ac.uk/~ajb/course-notes.html
Andrew Baker, University of Glasgow. |
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Harmonic Polynomials for the Symmetric Group and Macdonald Symmetric Polynomials - http://bergeron.math.uqam.ca/conjecture_fact.html
Offers outline of the problem, bibliography, and math tables. Resources assembled by François Bergeron. |
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VectorLand - http://members.tripod.com/~Paul_Kirby/vector/VectorLand.html
An online course to get to grips with 3D vectors. Most of the material is about UK A-level difficulty. |
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Homogeneous Transformation Matrices - http://www.silcom.com/~barnowl/HTransf.htm
Explicit n-dimensional homogeneous matrices for projection, dilation, reflection, shear, strain, rotation and other familiar transformations. |
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FDLIST - http://www.mathematik.uni-bielefeld.de/birep/fdlist.html
Information on representation theory of finite dimensional algebras. Papers, meetings, places, people, jobs, journals, software. |