Version francaise ,
Computer algebra system : Giac/xcas project , Xcas on line, E-prints,
HP Calculators Documentation, CAS, Geometry
Mathematical physics : Publications , Preprint , Lecture Notes , Links

Computer algebra system

Giac/xcas, a free computer algebra system

Giac/Xcas is a free computer algebra system for Windows, Mac OS X and Linux/Unix (license GPL3). It has a compatibility mode for maple, mupad and the TI89. It is available as a standalone program (graphic or text interfaces) or as a C++ library. It's name is derived from GiNaC and means Giac Is A Computer algebra system.

E-prints

A correct proof of the heuristic GCD algorithm : PDF, LaTeX.
Jordan Normal and Rational Normal Form Algorithms, in collaboration with M. Vaughan : PDF, LaTeX, source maple/xcas.

Calculators

I'm the main author of the CAS of the HP49G, HP40G, HP49G+ and HP48GII calculators. I have also developped in 2005 an interactive and analytic geometry module.

HP CAS documentation

HP49G, HP49G+, HP48GII, HP50G documentation

CAS documentation for all ROM versions PDF or LaTeX, by Renée De Graeve , translated by Ivan Cibrario Bertolotti

HP40G/GS CAS documentation

HP49G CAS source code

The source code of my contribution to the HP49G CAS is released under the LGPL license of the Free Software Foundation. If you want to modify the CAS on your calculator, please get the file casrelease.zip, unzip it, and follow the instructions in the file CASrelease/README. Warning, the file casrelease.zip is not released under the LGPL license and may not be redistributed as is. The files subject to the LGPL license are all the files contained in the CASrelease/ROM/CAS and CASrelease/ROM/CAS2 directories except files containing ALG48 code, namely CAS/berle.s*, CAS/binary.s*, CAS/distdiv.s*, CAS/error.s*, CAS/errors.s*, CAS/grobner.s*, CAS/mkpoly.s*, CAS/pfctr.s*, CAS/prime.s*, CAS/qarth.s*, CAS/root.s*, CAS/smod.s*, CAS/util.s*, CAS/zckconv.s*, CAS/zcmp.s*, CAS/znext.s*, CAS/zpush.s*, CAS/zsutil.s*, CAS/ztests.s*, CAS2/asmgamma.s*, CAS2/asmpsi.s*, CAS2/numgamma.s*, CAS2/numpsi.s*, CAS2/qpi.s*, CAS2/symgamma.s*, CAS2/sympsi.s*, CAS2/util.s*, CAS2/zfact.s*

HP49/50 Interative Geometry

To be used in conjunction with the CASrelease above. This application is released under the GPL license (for dual-licensing contact the author):

Mathematical physics

Publications

Preprint

Construction BKW en fonds de puits, cas particuliers (Dirac, Schrodinger avec champ magnétique) : PDF format or LaTeX source

Lecture notes

Cours de gémétrie différentielle et symplectique , course of the Ecole d'été sur les D-modules (Institut Fourier, Grenoble, June 1995), available as on-line HTML, postscript or tar-gzipped html
Introduction à l'opérateur de Dirac lecture given at the Groupe de travail quantique à (Grenoble, March 1997), available as on-line HTML , postscript or tar-gzipped html
Note that other documents are available from my French homepage.
Bernard Parisse, Institut Fourier (CNRS UMR 5582), 100 rue des Maths, Université de Grenoble I, 38402 Saint Martin d'Hères
Tel: ( 33 ) 4 76 51 43 14.
You can send me a mail to bernard.parisse at ujf-grenoble dot fr