From: Bill Page > On January 22, 2006 8:00 PM Raymond E. Rogers wrote: > > Assuming I get axiom running; would anybody be willing to discuss > > an engineering application where I think Algebraic Geometry provides > > a mathematically correct answer? Even though I have just started > > learning AG, I think I can do all of the hard work myself. > > I would be very happy to discuss engineering applications of > algebraic geometry. > > Perhaps one place to start with Axiom and algebraic geometry might be > the following tutorial by Donu Arapura > (http://www.math.purdue.edu/~dvb): > > http://www.math.purdue.edu/~dvb/algeom.html > > Introduction to Algebraic Geometry > > Arapura includes some computer examples using Maple. We could see how > we might do the same examples using Axiom.
I too am (newly) interested in Algebraic Geometry and would prefer to pursue that in Axiom or another free CAS (rather than Maple) since this is only a hobby interest for me. >From the links you (so kindly) offered I also found the following: Macaulay2 Home Page http://www.math.uiuc.edu/Macaulay2/ A software system devoted to supporting research in algebraic geometry and commutative algebra. Computations in algebraic geometry with Macaulay 2, edited by David Eisenbud, Daniel R. Grayson, Michael E. Stillman, and Bernd Sturmfels. Springer-Verlag September 25, ISBN 3-540-42230-7, $44.95. http://www.math.uiuc.edu/Macaulay2/Book/ (FREE DOWNLOAD) In no way am I trying to move the discussion away from Axiom, but I am interest in the subjects no matter what the tools (if the price is right.) And these links seem related, depending on the relationship with Algebraic Topology and if Geometric Algebra has the same meaning (do they relate?) Algebraic Topology Homotopy & homology spaces are discussed beginning in Chapter 0 (Geometric introduction) http://www.math.cornell.edu/~hatcher/AT/ATpage.html Clifford's Geometric Algebra of Physical Space (APS). http://www.uwindsor.ca/users/b/baylis/main.nsf The intention is to explain the use of paravectors in the algebra to model spacetime. Relativity in Introductory Physics http://arxiv.org/abs/physics/0406158 Also available: GAWorkBook Disclosure: I am directly trying to gain a (much) better appreciation and understanding of the "The Road to Reality: A Complete Guide to the Laws of the Universe" by Roger Penrose. -- Herb Martin _______________________________________________ Axiom-math mailing list [email protected] http://lists.nongnu.org/mailman/listinfo/axiom-math
