Lukol Directory: Science: Math: Algebra

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...

Algebra Universalis List of Researchers
Compiled by G. Gratzer.
http://www.maths.umanitoba.ca/homepages/au...

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/

An Introduction to the Algebraic Specification of Abstract Data Types
Jean Baillie, Department of Computer Science, University of Hertfordshire.
http://homepages.feis.herts.ac.uk/~comqejb...

Cohomology of Modules over the Mod 2 Steenrod Algebra
Robert R. Bruner, Wayne State University. Tables in PS or GIF formats.
http://www.math.wayne.edu/~rrb/cohom/

What is a Jordan-like Algebra?
Includes generalizations, and algebraic geometry. Notes and links by Tony Smith.
http://www.valdostamuseum.org/hamsmith/Jor...

Defining Boolean Algebra
Defines and compares the postulates and use of symbols between Boolean and regular algebra.
http://www.jairosoft.com/intro_math13.htm

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/

Intro to Abstract Algebra
Paul Garrett's detailed and comprehensive lecture notes in abstract algebra.
http://www.math.umn.edu/~garrett/m/intro_a...

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/

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/

Lecture Notes in Algebra and Number Theory
Andrew Baker, University of Glasgow.
http://www.maths.gla.ac.uk/~ajb/course-not...

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/...

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/

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/

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/

A Web Resource in Mathematics
Tailored help for students in Algebra.
http://www.mathshape.com/

FDLIST
Information on representation theory of finite dimensional algebras. Papers, meetings, places, people, jobs, journals, software.
http://www.mathematik.uni-bielefeld.de/bir...

Harmonic Polynomials for the Symmetric Group and Macdonald Symmetric Polynomials
Offers outline of the problem, bibliography, and math tables. Resources assembled by François Bergeron.
http://bergeron.math.uqam.ca/conjecture_fa...

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/...

A Catalogue of Lattices
By Gabriele Nebe and Neil Sloane.
http://www.research.att.com/~njas/lattices...

Homogeneous Transformation Matrices
Explicit n-dimensional homogeneous matrices for projection, dilation, reflection, shear, strain, rotation and other familiar transformations.
http://www.silcom.com/~barnowl/HTransf.htm

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/

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/

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/

Abstract and Linear Algebra
A forum for students on abstract algebra and linear algebra.
http://www.math.miami.edu/forum/algebra/

All About Circuits - Boolean Algebra
An introduction to boolean algebra from the perspective of electronic engineering.
http://www.allaboutcircuits.com/vol_4/chpt...

Algebra Links
From Spartanburg County School District Two.
http://www.spartanburg2.k12.sc.us/links/al...

VectorLand
An online course to get to grips with 3D vectors. Most of the material is about UK A-level difficulty.
http://members.tripod.com/~Paul_Kirby/vect...

Sub Topics:
Computational Algebra
Software
History
Education
People
Group Theory
Linear Algebra
Geometric Algebra
Category Theory
Conferences
Research Groups
Field Theory
Ring Theory
High School
Publications


Related Topics:
Computers: Algorithms: Computational Algebra



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2006