This book is the productof my research at the EndowedChair of Corporate Finance and Capital Markets at the European Business School. Many people devoted their inspiration, time, and knowledge in order to support me with my interdisciplinary research. Thank you all for your support. Especially, I thank my academic supervisor Prof. Ulrich Hommel, Ph.D., who provided me with the freedom to pursue my research interests and who always s- ported me generously. In addition, I am very grateful to my co-supervisor Prof. Dr. Susanne Strahringer (TU Dresden), who graciously accepted the task of refer- ing my book. Also, I thank Prof. Dr. Matthias Krause of the Chair for Theoretical Computer Science in Mannheim for the technical and computer scienti?c support. During my research visits I received generous support from Prof. Yaneer Bar- Yam (NECSI and Harvard) and Prof. John D. Sterman (MIT), who introduced me to the ?eld of System Dynamics and Complex Systems, as well as from Prof. Victor Mossotti (U.S. Geological Survey), Prof. Hiroki Sayama (NECSI and Bingh- ton), Prof. Markus de Aguiar (Universidade Estadual de Campinas), Prof. Michel Baranger (MIT), Prof. Jay W. Forrester (MIT), and Prof. Brian D. Josephson (Cambridge). Thank you very much for numerous inspiring discussions.

This book is the productof my research at the EndowedChair of Corporate Finance and Capital Markets at the European Business School. Many people devoted their inspiration, time, and knowledge in order to support me with my interdisciplinary research. Thank you all for your support. Especially, I thank my academic supervisor Prof. Ulrich Hommel, Ph.D., who provided me with the freedom to pursue my research interests and who always s- ported me generously. In addition, I am very grateful to my co-supervisor Prof. Dr. Susanne Strahringer (TU Dresden), who graciously accepted the task of refer- ing my book. Also, I thank Prof. Dr. Matthias Krause of the Chair for Theoretical Computer Science in Mannheim for the technical and computer scienti?c support. During my research visits I received generous support from Prof. Yaneer Bar- Yam (NECSI and Harvard) and Prof. John D. Sterman (MIT), who introduced me to the ?eld of System Dynamics and Complex Systems, as well as from Prof. Victor Mossotti (U.S. Geological Survey), Prof. Hiroki Sayama (NECSI and Bingh- ton), Prof. Markus de Aguiar (Universidade Estadual de Campinas), Prof. Michel Baranger (MIT), Prof. Jay W. Forrester (MIT), and Prof. Brian D. Josephson (Cambridge). Thank you very much for numerous inspiring discussions.

MuPAD is a computer algebra project of the MathPAD group at the University of Paderborn. MuPAD was designed as a parallel system. The design and implemen tation of MuPAD grew out of the desire to efficiently handle large data generated by algorithms used to investigate the group theoretical structure of nonlinear sys tems. Nevertheless, MuPAD outgrew this original goal and was developed as a general purpose system and should be used as such. MuPAD had two major design goals. As already mentioned, firstly we wanted to prm.ide a tool for fast and efficient handling of large data. This goal was motivated by the special problems which came up in our research on nonlinear systems, where data of several GB are not unusual. As a consequence of this MuPAD is a parallel computer algebra system working on the basis of a shared memor)" machine. Special interfaces, simulating hared memory, will be provided for machines with a different architecture. A sequential version of MuPAD is available which, nevertheless, in its high-end language provides parallel constructs for programming. In this sequential version parallEl blocks are executed at random, thus allowing for logical tests of parallel programs on sequential machines. The sequential MuPAD version is the topic of this refErence manual. The second major design goal was to make sure that future versions of MuPAD could be the basis for a system capable of learning during interactive use."