Michael Grosser Michael Kunzinger Michael Oberguggenberger
Over the past few years a certain shift of focus within the theory of algebras of generalized functions (in the sense of J. F. Colombeau) has taken place. Originating in infinite dimensional analysis and initially applied mainly to problems in nonlinear partial differential equations involving singularities, the theory has undergone a change both in in ternal structure and scope of applicability, due to a growing number of applications to questions of a more geometric nature. The present book is intended to provide an in-depth presentation of these develop ments comprising its structural...
Over the past few years a certain shift of focus within the theory of algebras of generalized functions (in the sense of J. F. Colombeau) has taken pl...
Diese grundlegende Einfuhrung in die Analysis wendet sich an Informatiker im ersten Studienabschnitt. Um speziell auf die Bedurfnisse des Informatikstudiums einzugehen, haben die Autoren diesem Werk folgende Konzepte zugrunde gelegt: Algorithmischer Zugang, schlanke Darstellung, Software als integrativer Bestandteil, Betonung von Modellbildung und Anwendungen der Analysis. Der Gegenstand des Buches liegt im Spannungsfeld zwischen Mathematik, Informatik und Anwendungen. Hier kommt dem algorithmischen Denken ein hoher Stellenwert zu. Der gewahlte Zugang beinhaltet: Entwicklung der Grundlagen...
Diese grundlegende Einfuhrung in die Analysis wendet sich an Informatiker im ersten Studienabschnitt. Um speziell auf die Bedurfnisse des Informati...
Over the past few years a certain shift of focus within the theory of algebras of generalized functions (in the sense of J. F. Colombeau) has taken place. Originating in infinite dimensional analysis and initially applied mainly to problems in nonlinear partial differential equations involving singularities, the theory has undergone a change both in in- ternal structure and scope of applicability, due to a growing number of applications to questions of a more geometric nature. The present book is intended to provide an in-depth presentation of these develop- ments comprising its structural...
Over the past few years a certain shift of focus within the theory of algebras of generalized functions (in the sense of J. F. Colombeau) has taken pl...