FORM is a symbolic manipulation program which places its emphasis on large formulae and execution speed. It is not a computer algebra system in the style of Matematica, Maple, Reduce or Macsyma: it has relatively little built in knowledge. There are enough mechanisms to provide it with nearly all the knowledge that is needed for large scale symbolic calculations in mathematics, physics and engeneering. Those features that are still missing (this is version 1.0) can be added on request in version 2.0. Version 1.0 is free. It can be copied and redistributed to your hearts content, as long as no money is asked for it. Version 2.0 and later will be a commercial product. Currently FORM has been applied already for computations in Field theory, Lattice gauge theory (both in physics) and a problem in mathematical group theory (helping with solving a set of nonlinear equations that was too big for any other system). Some of the strong points are: 1: Very fast dealing with multivariate polynomials. 2: Built in vectors, Kronecker delta's, Levi-Civita tensors. 3: Extensive pattern matching. 4: Can be reconfigured to fit well on the local system via a setup file. Uses normally very little memory. Is usually hardly affected by swapping (not applicable to the Atari of course). 5: Reasonably well tested. 6: (Field theory) Knows the trace algorithms of the Dirac algebra in 4 and in n dimensions. 7: Manual has 250 pages (tutorial, syntax, examples). If a problem is rather big it is usually best to switch to FORM and program the (usually limited) amount of knowlegde that your other program provides into the FORM language. This pays back handsomely in running time and the turnaround time may improve greatly (especially the second time around). Currently FORM is available on: Atari ST (1 Mbyte + hard disk) Apollo DN3000 SUN4/Sparc station1 VAX/VMS VAX/Ultrix Gould NP1 and PN9080 Alliant Mac (Think-C) Most of these executables can be picked up via anonymous ftp from nikhefh.nikhef.nl Also the dvi file of the manual can be found there. If you use FORM 1.0 for a scientific publication I would appreciate it if you refer to the use of FORM. It would also be very nice to send a preprint/reprint to J.Vermaseren NIKHEF-H P.O.Box 41882 1009DB Amsterdam The Netherlands You may send suggestions, commentary and bug reports to t68@nikhef.nl Jos Vermaseren