ÿþ<?xml version="1.0" encoding="utf-16"?> <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.1//EN" "http://www.w3.org/TR/xhtml11/DTD/xhtml11.dtd"> <html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en"> <head> <title> Edgar R. Chavez .. Mathematics .. Geometric Algebra </title> <link rel="stylesheet" href="../erc01.css" type="text/css" /> </head> <body> <div id="top"> <img class="quill" src="../Images/myquill5.png" alt="myQuill"></img> <h2> Edgar R. Ch&aacute;vez</h2> <h3> Mathematics - Geometric Algebra </h3> </div> <div class="NavigationLinks"> <hr class="myLine" /> <ul> <li><a href="../home.html"> Home </a></li> <li><a href="./mathematics.html"> Mathematics </a></li> </ul> <hr class="myLine" /> <ul> <li><a href="./ga.html"> Geometric Algebra </a></li> </ul> <ul class="NavMargin1"> <li><a href="#ga"> Geometric Algebra </a></li> <li><a href="#gatutorials"> Tutorials </a></li> </ul> <hr class="myLine" /> </div> <div class="InfoArea"> <div id="ga"><span class="Subhead2"> Geometric Algebra </span> <div class="Tab5"> <p><a href="http://www.scribd.com/doc/17654620/Introduction-to-Geometric-Algebra"> A Computational Introduction to Geometric Algebra </a> &nbsp; Juan M. Bello Rivas, Universidad Polit&eacute;cnica de Madrid. Slides for an introductory talk on Geometric Algebra I gave to an audience of research engineers. The material is mostly based on Hestenes' <i>New Foundations of Classical Mechanics.</i></p> <p><a href="http://www.mrao.cam.ac.uk/~clifford/ptIIIcourse/course99/"> A Lecture Course in Geometric Algebra </a> &nbsp; Chris Doran, University of Cambridge. A ueful introduction to the range of applications of geometric algebra. These are handouts for <i>Physical Applications of Geometric Algebra,</i> a course at the University of Cambridge in 1999. </p> <p><a href="http://www.mrao.cam.ac.uk/~clifford/publications/ps/dll_millen.pdf"> A Unified Mathematical Language for Physics and Engineering in the 21st Century </a> &nbsp; Joan Lasenby, Anthony N. Lasenby, and Chris J. L. Doran, Philosophical Transactions of the Royal Society of London. </p> <p><a href="http://www.mrao.cam.ac.uk/~clifford/"> Cambridge University Geometric Algebra Research Group </a></p> <p><a href="http://math.tntech.edu/rafal/cliff5/"> Clifford </a> &nbsp; A Maple V package for Clifford Algebra Computations. </p> <p><a href="http://www.clucalc.info/"> CLUCalc </a> &nbsp; <img src="../Images/stars4.gif" alt="Rank4" /> &nbsp; &nbsp; A freely available software tool for 3D visualizations and scientific calculations. Conceived and written by Dr. Christian Perwass, author of <a href="http://www.amazon.com/Geometric-Applications-Engineering-Geometry-Computing/dp/354089067X/ref=sr_1_2?ie=UTF8&amp;s=books&amp;qid=1256074404&amp;sr=1-2"> Geometric Algebra with Applications in Engineering</a>. </p> <p><a href="http://www.science.uva.nl/ga/viewer/index.html"> GAViewer </a> &nbsp; Interactive geometric algebra with OpenGL visualization. </p> <p><a href="http://modelingnts.la.asu.edu/"> Geometric Calculus Research and Development </a> &nbsp; <img src="../Images/stars4.gif" alt="Rank4" /> &nbsp; &nbsp; This web site is dedicated to perfecting a universal mathematical language for science, extending its applications and promoting it throughout the scientific community. It advocates a universal scientific language grounded in an integrated Geometric and Inferential Calculus. This site is devoted primarily to the development of Geometric Calculus with many applications to modeling in physics, mostly the work of David Hestenes. </p> <p><a href="www.unc.edu/~mgood/research/Geometric_Algebra.ppt"> Geometric algebra: A small introduction to a powerful and general language of physics </a> &nbsp; Michael R.R. Good, Georgia Institute of Technology. A PowerPoint presentation. </p> <p><a href="http://www.mrao.cam.ac.uk/~clifford/publications/abstracts/imaCarlos Rodríguezg_numbs.html"> Imaginary Numbers are not Real - the Geometric Algebra of Spacetime </a> &nbsp; S. F. Gull, A. N. Lasenby and C. J. L. Doran, University of Cambridge. A tutorial introduction to geometric algebra, concentrating on physical applications. </p> <p><a href="http://omega.albany.edu:8008/mat220dir/ga3d-dir/GA3d.html"> The Geometric Algebra of 3D Euclidean Space </a> &nbsp; Carlos Ridriguez, New York University at Albany. </p> <p><a href="http://tog.acm.org/resources/RTNews/html/rtnv11n1.html#art3"> Pl&uuml;cker Coordinate Tutorial </a> &nbsp; by Ken Shoemake </p> <span id="gatutorials" class="Subhead3"> Tutorials </span> <p><a href="http://www.science.uva.nl/ga/tutorials/index.html"> Interactive Geometric Algebra tutorials </a></p> </div></div> </div> <div class="MyCopyright"> <hr class="myLine" /> Copyright &copy; 2003-2011 by Edgar R. Ch&aacute;vez. All rights reserved. <hr class="myLine" /> </div> </body> </html>