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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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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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A Catalogue of Lattices - http://www.research.att.com/~njas/lattices/
By Gabriele Nebe and Neil Sloane. |
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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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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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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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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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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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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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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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Intro to Abstract Algebra - http://www.math.umn.edu/~garrett/m/intro_algebra/index.shtml
Paul Garrett's detailed and comprehensive lecture notes in abstract algebra. |
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http://www.mathematik.uni-bielefeld.de/birep/fdlist.html - http://www.mathematik.uni-bielefeld.de/birep/fdlist.html
Information on representation theory of finite dimensional algebras. Papers, meetings, places, people, jobs, journals, software. |
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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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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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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. |