[For newer versions of the package go to http://www.math.tntech.edu/rafal/]
(**) Universität Konstanz, Fachbereich Physik, Fach M678
78457 Konstanz, Germany
Bertfried.Fauser@uni-konstanz.de
http://kaluza.physik.uni-konstanz.de/~fauser/


This version of CLIFFORD and its supplementary packages is dedicated to Hermann G√ľnther Grassmann (1809-1877), mathematician, physicist and linguist on the 125th anniversary of his death on  26 September 1877 in Stettin, Germany (now Szczecin, Poland). He was co-invertor of vector calculus and author of many papers on n-dimensional geometry, linear algebra, acoustics, and optics.

Hermann Grassmann (1809-1877) from Wikipedia
What is Grassmann Algebra?
A brief biography of Grassmann (pdf)
Another paper on Hermann Grassmann from University of St. Andrews, Scotland
Hermann Grassmann and the Creation of Linear Algebra


Files listed below contain version 6 of the package CLIFFORD for Clifford algebra computations in Maple 6 along with supplementary packages described below::

Permission is given to download these files as long as they are for individual use and not for distribution of any kind including posting these files on any other server but this one. It is expected that appropriate acknowledgment will be given to CLIFFORD, Bigebra, Cliplus, Define, GTP, Octonion, and their authors, Rafal Ablamowicz and Bertfried Fauser, when results are derived. All packages and their extensive help pages are copyrighted by Rafal Ablamowicz and Bertfried Fauser.

===============
DISCLAIMER: THERE IS NO WARRANTY FOR THE CLIFFORD, Bigebra, Cliplus, Define, GTP, and Octonion PACKAGES TO THE EXTENT PERMITTED BY APPLICABLE LAW. EXCEPT WHEN OTHERWISE STATED IN WRITING THE COPYRIGHT HOLDERS AND/OR OTHER PARTIES PROVIDE THE PROGRAM "AS IS" WITHOUT WARRANTY OF ANY KIND, EITHER EXPRESSED OR IMPLIED, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANT ABILITY AND FITNESS FOR A PARTICULAR PURPOSE. THE ENTIRE RISK AS TO THE QUALITY AND PERFORMANCE OF THE PROGRAM IS WITH YOU. SHOULD THE PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF ALL NECESSARY SERVICING, REPAIR OR CORRECTION.
===============

You can find out how I use CLIFFORD by going to my recent publications page.


HIGHLIGHTS OF NEW FEATURES IN VERSION 6:



DESCRIPTION OF AVAILABLE FILES:
Files: Name:  Size: Description:
Libraries: library_M6.zip 1.1 MB A .zip file with all library files containing compiled code for CLIFFORD, Bigebra, Cliplus, Define, GTP, and Octonion together with help pages for all modules. It includes also a sample maple.ini file that needs to be placed in \BIN.WNT or \Users subdirectory of Maple 6 directory on Windows machine. For more detailed installation instructions see README.txt
Posted/Last updated: 4/21/2003
Documentation: all_help_pages_pdf_M6.zip 2.0 MB A .zip file with with a single file All_Help_Pages_M6.pdf   containing helppages for all functions and procedures in all modules. 
Posted/Last updated: 11/5/2002
  All_Help_Pages_M6.pdf 2.5 MB A single file with all help pages for all procedures in CLIFFORD, Bigebra, Cliplus, Define, GTP, and Octonion. It contains 495 pages of size 8.5" by 11" in full color. 
Posted/Last updated: 11/5/2002
  Bigebra _Help_M6.pdf 390 KB A single file with all help pages for Bigebra. It contains 86 pages of size 8.5" by 11" in full color. 
Posted/Last updated: 11/5/2002
  Clifford_Help_M6.pdf 1.6 MB A single file with all help pages for all procedures in CLIFFORD. It contains 310 pages of size 8.5" by 11" in full color. 
Posted/Last updated: 11/5/2002
  Cliplus_Help_M6.pdf 252 KB A single file with all help pages for all procedures in Cliplus. It contains 55 pages of size 8.5" by 11" in full color. 
Posted/Last updated: 11/5/2002
  GTP_Help_M6.pdf 109 KB A single file with all help pages for all procedures in GTP. It contains 24 pages of size 8.5" by 11" in full color. 
Posted/Last updated: 11/5/2002
  Octonion_Help_M6.pdf 99 KB A single file with all help pages for all procedures in Octonion. It contains 20 pages of size 8.5" by 11" in full color. 
Posted/Last updated: 11/5/2002
  README.txt 7 KB  Installation instructions
Code: all_code_mws_M6.zip 118 KB A .zip file with CLIFFORD, Bigebra, Cliplus, Define, GTP, and Octonion Maple 6 worksheets with full codes for all modules. 
Posted/Last updated: 12/27/2002
  Bigebra_M6_1.01.mws 39 KB A Maple 6 worksheet with Bigebra code ver 1.01. 
Posted/Last updated: 11/5/2002
  Clifford_M6_13.mws 307 KB A Maple 6 worksheet with CLIFFORD code ver 13. 
Posted/Last updated: 11/5/2002
  Cliplus_M6_01.mws 28 KB A Maple 6 worksheet with Cliplus code ver. 01. 
Posted/Last updated: 11/5/2002
  Define_M6_1.00.mws 26 KB A Maple 6 worksheet with Define code ver. 1.00. 
Posted/Last updated: 11/5/2002
  GTP_M6_01.mws 15 KB A Maple 6 worksheet with GTP code ver. 01. 
Posted/Last updated: 11/5/2002
  Octonion_M6_01.mws 21 KB A Maple 6 worksheet with Octonion code ver. 01. 
Posted/Last updated: 11/5/2002


INSTALLATION INSTRUCTIONS:

A. For Windows:

The following installation instructions should be general enough to allow for loading and installation of the package under any (hopefully) operating system such as Win 98, Win NT 4.0, or XP. The installation below has been tested under Windows XP Professional. If you have any problems with installation under Windows, please contact Dr. Rafal Ablamowicz at rablamowicz@tntech.edu.

B. For Linux (if you have access to the root directory):

         ==5a==>          ==5b==>

C. For Linux (if you do not have root access):


      If you have any problems with installation under Linux/Unix, please contact Dr. Bertfried Fauser at
Bertfried.Fauser@uni-konstanz.de, or   fauser@spock.physik.uni-konstanz.de.



HOW TO LOAD THE PACKAGE AND CHECK THAT INSTALLATION WAS DONE CORRECTLY:

MORE INFORMATION:

More information about the use of this package as well as the use of other software packages written in Mathematica, Reduce, Matlab, C++, Fortran, Clical, and Maple for the Clifford algebra research, see the following book and associated with it electronic files located at the Birkhauser Web site:
www.birkhauser.com/book/ISBN/0-8176-3907-1/

Title: ``Clifford Algebras with Numeric and Symbolic Computations''
Editors: Rafa\l Ab\lamowicz, Pertti Lounesto, Josep M. Parra
ISBN: 0-8176-3907-1
Birkhauser, Boston
Year: 1996

For more on Clifford algebras and their applications see also:

Title: ``Clifford Algebras and their Applications in Mathematical Physics - Vol. 1 Algebra and Physics, Vol. 2 Clifford Analysis''
Editors: Rafal Ablamowicz and Bertfried Fauser (Vol. 1),  John Ryan and Wolfgang Sproessig (Vol. 2)
ISBN: 0-8176-4182-3 (Vol. 1), 0-8176-4183-1 (Vol. 2) [for more information go to http://math.tntech.edu/rafal/mexico/mexico.html]
Birkhauser, Boston
Year: 2000

Title: ``Clifford Algebras and Spinor Structures -- A Special Volume Dedicated to the Memory of
Albert Crumeyrolle (1919 -- 1992)''.
Editors: Rafal Ablamowicz, Pertti Lounesto
ISBN: 0-7923-3366-7
Kluwer, Dordrecht
Year: 1995

Please direct all questions, comments, and reports on bugs to:

Rafal Ablamowicz rablamowicz@tntech.edu
Department of Mathematics, Box 5054
Tennessee Technological University
Cookeville, TN 38505
phone: USA (931) 372-3569
fax: USA (931) 372-6353


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Last updated: April 21, 2003/ra