1.1 MuPAD: An Overview MuPAD is a computer algebra system which, up to now, has been developed mainly at the University of Paderborn. Our aim was to design a program that can handle mathematical problems and computations of a new order of magnitude. Therefore, MuPAD was designed as a parallel system. However, MuPAD also runs on sequential computers, from small size machines to more powerful workstations. Right from the start we were fascinated by the implications computer algebra systems can have on the way how mathematical formulae and techniques will be used in future applications of mathematics in science and engineering. We believe that the impact of modern technology is most beneficial for the scien- tific development if systems are created which facilitate the inclusion of the knowledge of the mathematical community. Therefore MuPAD was designed as a service to the community in the hope that the mathematical community reciprocates some of its knowledge and expertise to the system. As a conse- quence MuPAD is available to non-profit educational and scientific institutions free of charge.

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This book and CD Rom package includes a printed edition of the http://www.mupad.de>MuPAD User Manual and 2 CD-Roms with a hypertext version of the manual, plus a full version of the MuPAD Software. Developments in computer algebra systems will help shape the way mathematical models and technique will be used in the future applications of mathematics inscience and engineering.At the forefront of thesedevelopments, MuPAD is a powerfull computeralgebra system designed to handle mathematical problems and computations of a new order of magnitude.The muPad users Manual provides a detailed survey of the system's capabilities and contains: A complete description of the MuPAD programming language. Guidelines on how to produce graphics with MuPAD. A survey of the functions of the MuPAD standard library. Designed as a parallel system it will also run on sequential computers from small size machines to more powerful workstations. The advantages over other computers algebra systems are that: MuPADis a system that offers a window-based unser interface on all platforms. MuPAD is the first system that provides native parallel instructions to theuser. MuPAD offers tools for the dynamicallinking of binary objects. Studentsresearchers and professionals in all quantitativedisciplines will find MuPAD to be a user-friendlyand invaluable aid to their work. The MuPADsoftware on the CD-ROMS is ready to start fromthe following platforms: PC(Linux), AppleMacintosh, Hewlett-Packard, Sun4, Silicon Graphics, DECstation.

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