The theory of Grobner bases is a general method by which fundamental problems in various branches of mathematics and engineering can be solved by structurally simple algorithms. The method is now available in all major mathematical software systems. This book provides a short and easy-to-read account of the theory of Grobner bases and its applications. It is in two parts, the first consisting of tutorial lectures, beginning with a general introduction. The subject is then developed in a further twelve tutorials, written by leading experts, on the application of Grobner bases in various fields...

This volume contains the proceedings of theSecondInternationalConferenceon MathematicalKnowledgeManagement (MKM 2003), held 16-18 February 2003 in Bertinoro, Italy. Mathematical Knowledge Management is an exciting new eld at the int- section between mathematics and computer science. We need e?cient, new te- niques, based on sophisticated formal mathematics and software technology, to exploit the enormous knowledge available in current mathematical sources and to organize mathematical knowledge in a new way. On the other side, due to its verynature,...

The concept of CAST as Computer Aided Systems Theory, was introduced by F. Pichler in the late 1980s to include those computer theoretical and practical developments as tools to solve problems in System Science. It was considered as the third component (the other two being CAD and CAM) necessary to build the path from Computer and Systems Sciences to practical developments in Science and Engineering. The University of Linz organized the first CAST workshop in April 1988, which demonstrated the acceptance of the concepts by the scientific and technical community. Next, the University of Las...

BrunoBuchberger This book is a synopsis of basic and applied research done at the various re search institutions of the Softwarepark Hagenberg in Austria. Starting with 15 coworkers in my Research Institute for Symbolic Computation (RISC), I initiated the Softwarepark Hagenberg in 1987 on request of the Upper Aus trian Government with the objective of creating a scienti?c, technological, and economic impulse for the region and the international community. In the meantime, in a joint e?ort, the Softwarepark Hagenberg has grown to the current (2009) size of over 1000 R&D employees and 1300...

BrunoBuchberger This book is a synopsis of basic and applied research done at the various re search institutions of the Softwarepark Hagenberg in Austria. Starting with 15 coworkers in my Research Institute for Symbolic Computation (RISC), I initiated the Softwarepark Hagenberg in 1987 on request of the Upper Aus trian Government with the objective of creating a scienti?c, technological, and economic impulse for the region and the international community. In the meantime, in a joint e?ort, the Softwarepark Hagenberg has grown to the current (2009) size of over 1000 R&D employees and 1300...

Computer. Algebra fdr den Ingenieur (B. Buchberger I B. Kutzler) Das Gebiet der Computer-Algebra stent dem Ingenieur ein neues Arsenal von computer-unterstutzten Methoden zur Losung von Problemen des technichlwis senschaftlichen Rechnens zur Verfugung. In diesem Kapitel wird zunachst das neue Gebiet der Computer-Algebra charakterisiert und insbesondere vom Gebiet der Numerik abgegrenzt bzw. aufgezeigt, wie Computer-Algebra im Verein mit Numerik die ProblemlOsepotenz um eine wesentliche Qualitat erweitert. Dann werden die typischen Grundrechenoperationen, die in Computer-Algebra-Software...