Department of Mathematics
Tennessee Technological University 
CLIFFORD  A Maple 9 Package for Clifford Algebra
Computations
(version 9, September 17, 2005)
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 coinventor 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 9 of the package CLIFFORD for Clifford algebra computations in Maple 9 along with supplementary packages described below::
===============
DISCLAIMER: THERE IS NO WARRANTY FOR THE CLIFFORD,
Bigebra, Cliplus, Define, GTP, Octonion, and code_support 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_M9.zip  1.2 MB  A .zip file with all library files containing compiled code
for CLIFFORD,
Bigebra, Cliplus, Define, GTP, Octonion, and code_support
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 9
directory on Windows machine. For more detailed installation
instructions
see README.txt.
Posted/Last updated: 9/17/2005 
Documentation:  all_help_pages_pdf_M9.zip  8.1 MB  A .zip file with with a single file All_Help_Pages_M9.pdf
containing help pages for all functions and procedures in all
modules. Posted/Last updated: 9/17/2005 
All_Help_Pages_M9.pdf  8.8 MB  A single file with all help pages for all procedures in CLIFFORD,
Bigebra, Cliplus, Define, GTP, Octonion, and code_support.
It
contains 800 pages of size 8.5" by 11" in full color. Posted/Last updated: 9/17/2005 

Bigebra _Help_M9.pdf  3.4 MB  A single file with all help pages for Bigebra. It
contains 143
pages of size 8.5" by 11" in full color. Posted/Last updated: 12/1/2003 

Clifford_Help_M9.pdf  1.0 MB  A single file with all help pages for all procedures in CLIFFORD.
It contains 428 pages of size 8.5" by 11" in full color. Posted/Last updated: 9/17/05 

Cliplus_Help_M9.pdf  1.3 MB  A single file with all help pages for all procedures in Cliplus.
It contains 76 pages of size 8.5" by 11" in full color. Posted/Last updated: 12/1/2003 

GTP_Help_M9.pdf  982 KB  A single file with all help pages for all procedures in GTP.
It contains 34 pages of size 8.5" by 11" in full color. Posted/Last updated: 12/1/2003 

Octonion_Help_M9.pdf  1.3 MB  A single file with all help pages for all procedures in Octonion.
It contains 33 pages of size 8.5" by 11" in full color. Posted/Last updated: 12/1/2003 

code_support_Help_M9.pdf  460 KB  A single file with three help pages for all procedures in
code_support.
It contains 75 pages of size 8.5" by 11" in full color. Posted/Last updated: 12/1/2003 

README.txt  9 KB  Installation instructions  
Code:  all_code_mws_M9.zip  127 KB  A .zip file with CLIFFORD, Bigebra, Cliplus,
Define, GTP, Octonion, and
code_support Maple 9 worksheets with full codes for all
modules. Posted/Last updated: 9/17/2005 
Bigebra_M9_1.01.mws  38 KB  A Maple 9 worksheet with Bigebra code ver 1.01.
Posted/Last updated: 12/1/2003 

clifford_M9_05.mws  308 KB  A Maple 9 worksheet with CLIFFORD code ver 05. Posted/Last updated: 9/17/2005 

Cliplus_M9_02.mws  28 KB  A Maple 9 worksheet with Cliplus code ver. 02.
Posted/Last updated: 12/1/2003 

Define_M9_1.00.mws  26 KB  A Maple 9 worksheet with Define code ver. 1.00.
Posted/Last updated: 12/1/2003 

GTP_M9_01.mws  14 KB  A Maple 9 worksheet with GTP code ver. 01. Posted/Last updated: 12/1/2003 

Octonion_M9_02.mws  21 KB  A Maple 9 worksheet with Octonion code ver. 02.
Posted/Last updated: 12/1/2003 

code_support_M9_1.03.mws  34 KB  A Maple 9 worksheet with code_support code ver.
1.03. Posted/Last updated: 12/1/2003 
The initialization is finished. If you have any problems with installation under Linux, please contact Dr. Bertfried Fauser at:
==5b==>
open the file maple, and look for the place where xmaple9 is
called
change this line to (no white space after \ or type a single line only)
> exec ${MAPLE}/$MAPLE_SYS_BIN/xmaple9 km p b ${MAPLE}/Cliffordlib
\ b ${MAPLE}/lib $INCLUDES $PARAM
and change the line where mapleTTY is loaded to
> exec ${MAPLE}/$MAPLE_SYS_BIN/mapleTTY b
${MAPLE}/Cliffordlib
\ b ${MAPLE}/lib $INCLUDES $PARAM
(The option b makes maple aware of locations of libraries. In
this
way you might want ot change every start script of several maple
versions
to find their own local, libraries, e.g. Maple V using Cliff5
/BIGEBRA
/Cli5plus /Octonion /GTP or others)
> exit
leave root shell.
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_M9.zip
are all located in the directory such as C:\Maple9\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:\\Maple9/Cliffordlib", "C:\\Maple9/lib"
if maple.ini had this line:
libname:="C:\\Maple9/Cliffordlib",libname:
Most recent papers with CLIFFORD, Bigebra, etc.
RECENT BOOKS ON CLIFFORD ALGEBRAS:
"Clifford Algebras  Applications to Mathematics, Physics, and Engineering", Progress in Mathematical Physics, Volume 34, Rafa\l Ab\lamowicz, ed., Birkhäuser, Boston 2004 (Expected release: November/December 2003), ISBN 0817635254  
To order  More information 
"Lectures on Clifford (Geometric) Algebras and Applications", Rafa\l Ab\lamowicz and Garret Sobczyk, editors, Birkhäuser, Boston 2004 (Already released), ISBN 0817632573  
To order  More information 
``Clifford Algebras and their Applications in Mathematical Physics  Vol. 1 Algebra and Physics, Vol. 2 Clifford Analysis'', Rafa\l Ab\lamowicz and Bertfried Fauser (Vol. 1), editors; and John Ryan and Wolfgang Sproessig (Vol. 2), editors, Birkhäuser, Boston 2000, ISBN 0817641823 (Vol. 1), 0817641831 (Vol. 2)  
To order vol. 1 To order vol. 2  More information 
``Clifford Algebras with Numeric and Symbolic Computations'', Rafa\l Ab\lamowicz, Pertti Lounesto, Josep M. Parra, editors, Birkhäuser, Boston, 1996, ISBN 0817639071  
To order  
``Clifford Algebras and Spinor Structures  A Special Volume Dedicated to the Memory of Albert Crumeyrolle (1919  1992)'', Rafa\l Ab\lamowicz and Pertti Lounesto, editors, Kluwer, Dordrecht, 1995, ISBN 0792333667  
To order  
Please direct all questions, comments, and bug reports 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: September 17, 2005/ra