This document is better viewed as Mathematica notebook. If you do not have an installation of Mathematica 3.0, then you can download MathReader (http://www.wri.com/mathreader) free of charge. ========================================== Title ============ Theorema: A Short Demo Authors ============ Bruno Buchberger, C. Dupre', T. Jebelean, K. Kriftner K. Nakagawa, D. Vasaru, W. Windsteiger. Abstract ============ The Theorema system is a system for proving, solving, and simplifying mathematic al formulae. It is programmed in the Mathematica language, version 3.0 or later, and also hea vily uses the front-end of Mathematica. Theorema can therefore be used on all machines on which Mathematica, version 3.0 or later, is installed. Theorema is being developed by the Theorema Working Group at the RISC Institute under the direction of Bruno Buchberger. The current members of the Th eorema Working Group are B. Buchberger, C. Dupre, F.Kriftner, T. Jebelean, K. Nakagawa, D. Vasaru, and W.Windsteiger. The Theorema demo presented in this notebook demonstrates the most important fun ctionalities of Theorema Version 1.0 (1999). I used this demo 1999 in a couple of talks on Theor ema at various occasions. The varying parts of these talks, emphasizing various differe nt aspects of the system, are contained in extra files (which will soon be available over the web) and refer to this file for the demo part. ==========================================