Department of Mathematics
Tennessee Technological University 
CLIFFORD  A Maple 7 Package for Clifford Algebra
Computations
(version 7, December 27, 2002, 2002)
with Cliplus, Bigebra, Define, GTP, and Octonion
Rafal Ablamowicz (*) and Bertfried Fauser (**)
(*) Department of Mathematics, Box 5054
Tennessee Technological University, Cookeville, TN 38505
phone: USA (931) 3723569, fax: USA (931) 3726353
rablamowicz@tntech.edu
This
version of CLIFFORD and its supplementary packages is dedicated
to Hermann Günther Grassmann (18091877), mathematician,
physicist
and linguist on the 125th anniversary of his death on 26
September
1877 in Stettin, Germany (now Szczecin, Poland). He was coinvertor of
vector calculus and author of many papers on ndimensional geometry,
linear
algebra, acoustics, and optics. Hermann
Grassmann (18091877) from Wikipedia 
Files listed below contain version 7 of the package CLIFFORD for Clifford algebra computations in Maple 7 along with supplementary packages described below::
===============
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.
Files:  Name:  Size:  Description: 
Libraries:  library_M7.zip  925 KB  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 \Lib or \Users subdirectory of Maple 7
directory
on Windows machine. For more detailed installation instructions see README.txt.
Posted/Last updated: 4/21/2003 
Documentation:  all_help_pages_pdf_M7.zip  1.9 MB  A .zip file with with a single file All_Help_Pages_M7.pdf
hcontainingelp pages for all functions and procedures in all
modules. Posted/Last updated: 11/7/2002 
All_Help_Pages_M7.pdf  2.5 MB  A single file with all help pages for all procedures in CLIFFORD,
Bigebra, Cliplus, Define, GTP, and Octonion. It contains
496
pages of size 8.5" by 11" in full color. Posted/Last updated: 11/7/2002 

Bigebra _Help_M7.pdf  393 KB  A single file with all help pages for Bigebra. It
contains 90
pages of size 8.5" by 11" in full color. Posted/Last updated: 11/7/2002 

Clifford_Help_M7.pdf  2.4 MB  A single file with all help pages for all procedures in CLIFFORD.
It contains 309 pages of size 8.5" by 11" in full color. Posted/Last updated: 11/7/2002 

Cliplus_Help_M7.pdf  240 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: 11/7/2002 

GTP_Help_M7.pdf  95 KB  A single file with all help pages for all procedures in GTP.
It contains 22 pages of size 8.5" by 11" in full color. Posted/Last updated: 11/7/2002 

Octonion_Help_M7.pdf  96 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: 11/7/2002 

README.txt  7 KB  Installation instructions  
Code:  all_code_mws_M7.zip  114 KB  A .zip file with CLIFFORD, Bigebra, Cliplus,
Define, GTP,
and Octonion Maple 7 worksheets with full codes for all
modules. Posted/Last updated: 11/7/2002 
Bigebra_M7_1.01.mws  38 KB  A Maple 7 worksheet with Bigebra code ver 1.01.
Posted/Last updated: 11/7/2002 

Clifford_M7_02.mws  300 KB  A Maple 7 worksheet with CLIFFORD code ver 02. Posted/Last updated: 12/27/2002 

Cliplus_M7_01.mws  28 KB  A Maple 7 worksheet with Cliplus code ver. 01.
Posted/Last updated: 11/7/2002 

Define_M7_1.00.mws  26 KB  A Maple 7 worksheet with Define code ver. 1.00.
Posted/Last updated: 11/7/2002 

GTP_M7_01.mws  14 KB  A Maple 7 worksheet with GTP code ver. 01. Posted/Last updated: 11/7/2002 

Octonion_M7_01.mws  20 KB  A Maple 7 worksheet with Octonion code ver. 01.
Posted/Last updated: 11/7/2002 
If you have any problems with
installation
under Linux/Unix, please contact Dr. Bertfried Fauser at
Bertfried.Fauser@unikonstanz.de,
or fauser@spock.physik.unikonstanz.de.
When the package is loaded, you should see a list with names of
available
procedures. If the package has not loaded and you get an error message
make sure that files maple.hdb, maple.lib, and maple.ind
extracted from library_M7.zip
are all located in the directory such as C:\Maple7\Cliffordlib
and
that the path to that directory is included in maple.ini file.
To
see if maple.ini has been executed, type
>libname;
and Maple should respond with
"C:\\Maple7/Cliffordlib", "C:\\Maple7/lib"
if maple.ini had this line:
libname:="C:\\Maple7/Cliffordlib",libname:
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/0817639071/
Title: ``Clifford Algebras with Numeric
and
Symbolic Computations''
Editors: Rafa\l Ab\lamowicz, Pertti Lounesto,
Josep M. Parra
ISBN: 0817639071
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: 0817641823 (Vol. 1), 0817641831 (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: 0792333667
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) 3723569
fax: USA (931) 3726353
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Last updated: April 21, 2003/ra