Bøger af Wolfgang Windsteiger

This volume contains the collected contributions of two conferences, Calcu- mus2007andMKM2007.Calculemus2007wasthe14thinaseriesofconferences dedicated to the integration of computer algebra systems (CAS) and automated deduction systems (ADS). MKM 2007 was the sixth International Conference on Mathematical Knowledge Management, an emerging interdisciplinary ?eld of research in the intersection of mathematics, computer science, library s- ence, and scienti?c publishing. Both conferences aimed to provide mechanized mathematical assistants. Although the two conferences have separate communities and separate foci, there is a signi?cant overlap in the interests in building mechanized mathem- ical assistants. For this reason it was decided to collocate the two events in 2007 for the ?rst time, at RISC in Hagenberg, Austria. The number and quality of the submissions show that this was a good decision. While the proceedings are shared, the submission process was separate. The responsibility for acc- tance/rejection rests completely with the two separate Program Committees. By this collocation we made a contribution against the fragmentation of communities which work on di?erent aspects of di?erent independent branches, traditional branches (e.g., computer algebra and theorem proving), as well as newly emerging ones (on user interfaces, knowledge management, theory exp- ration, etc.). This will also facilitate the development of integrated mechanized mathematical assistants that will be routinely used by mathematicians, c- puter scientists, and engineers in their every-day business.

Dies ist der zweite Band von Algorithmische Methoden, ein Lehrbuch zur computerorientierten Begleitung der Analysis und Linearen Algebra. Als mathematische Objekte dienen Funktionen, Matrizen und multivariate Polynome der Gliederung des Bandes. Neben den Grundlagen dazu werden die Darstellung der Objekte am Computer, wie etwa die Termdarstellung von Funktionen, sowie darauf definierte Grundoperationen wie zum Beispiel die Faktorisierung einer Matrix besprochen. Als roter Faden führt das Lösen der mit Hilfe der Objekte beschreibbaren Gleichungssysteme durch den Text. Eine Besonderheit dabei ist das Lösen polynomialer Gleichungssysteme mit Hilfe von Gröbner-Basen. Alle Lösungsalgorithmen werden anhand von Beispielen illustriert, die als in Matlab oder Mathematica ausführbare Downloads zur Verfügung stehen.