Algebra

Web Directory : Science : Math : Algebra
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  • Research Groups (14)
  • Software (52)
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  • History (6)
  • Algebraic Topology@ (29)
  • Basic Algebra (27)
  • Category Theory (40)
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  • Geometric Algebra (10)
  • Group Theory (30)
  • Linear Algebra (18)
  • Ring Theory (6)
    • 23 pages found in Algebra:

    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/

    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/

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

    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

    All About Circuits - Boolean Algebra
    An introduction to boolean algebra from the perspective of electronic engineering.
    http://www.allaboutcircuits.com/vol_4/chpt_7/index.html

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

    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/

    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/

    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/

    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

    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_fact.html

    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/

    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/

    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

    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/algspec/pr.html

    Lecture Notes in Algebra and Number Theory
    Andrew Baker, University of Glasgow.
    http://www.maths.gla.ac.uk/~ajb/course-notes.html

    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/

    Octonions and Sedenions
    Enter the world of 8 and 16 dimensional hypercomplex numbers and discover that the laws that are taken for granted, but do not always hold true.
    http://www.geocities.com/zerodivisor/

    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.cs.unm.edu/~mccune/papers/robbins/

    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/

    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/vector/VectorLand.html

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

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