Spline functions entered Approximation Theory as solutions of natural extremal problems. A typical example is the problem of drawing a function curve through given n + k points that has a minimal norm of its k-th derivative. Isolated facts about the functions, now called splines, can be found in the papers of L. Euler, A. Lebesgue, G. Birkhoff, J. Favard, L. Tschakaloff. However, the Theory of Spline Functions has developed in the last 30 years by the effort of dozens of mathematicians. Recent fundamental results on multivariate polynomial interpolation and multivari ate splines have...

Following the thematic divisions of the first three volumes of Alfred Schutz's Collected Papers into The Problem of Social Reality, Studies in Social Theory and Phenomenological Philosophy, this fourth volume contains drafts of unfinished writings, drafts of published writings, translations of essays previously published in German, and some largely unpublished correspondence. The drafts of published writings contain important material omitted from the published versions, and the unfinished writings offer important insights into Schutz's otherwise unpublished ideas about economic and...

This work employs Husserl's concept of responsibility as a guiding clue for the clarification of the self-understanding of phenomenology as a rigorous science'. Originally an appeal for radical accountability and ultimate foundation in the field of philosophical theory, Husserl's concept of responsibility culminated finally in a philosophy of human self-renewal. This philosophical telos of ultimate self-responsibility, which was also fuelled by a striving towards cultural reform, was realised for Husserl in a transcendental field of transparent self-evidence, linguistic univocity and...

Recent studies on two-dimensional systems have led to new insights into the fascinating interplay between physical properties and dimensionality. Many of these ideas have emerged from work on electrons bound to the surface of a weakly polarizable substrate such as liquid helium or solid hydrogen. The research on this subject continues to be at the forefront of modern condensed matter physics because of its fundamental simplicity as well as its connection to technologically useful devices.
This book is the first comprehensive overview of experimental and theoretical research in this...

Phenomenology, in its traditional encounters with ethics, has commonly aimed at a more descriptive rather than prescriptive goal. The direction of this project, however, is both phenomenological and prescriptive as I attempt to provide a phenomenological foundation for communitarian ethical theory. I argue, following Husserl, that the Ego and the Other arise together in sense and thus we are committed to community in a foundational way. I am always and fundamentally constituted as a member of a community - as a Self among Others - and, given this, there are certain ethical implications....

Das Buch beabsichtigt, mit den Mitteln einer phanomenologischen Semantik, einen Beitrag zum Verstandnis der Modallogik und ihrer philosophischen Implikationen zu liefern. Es richtet sich in erster Linie an Phanomenologen, aber auch an analytische Philosophen und an philosophisch interessierte Logiker.
Bereits im vorigen Jahrhundert begannen Mathematik und Logik, sich zu abstrakten Wissenschaften zu entwickeln. Husserl nannte die schlielich resultierende Einheit beider Mathesis Universalis'. Diese bildet nicht nur den Boden aus dem Husserls philosophische Arbeit erwuchs, sondern auch den...

Global science education is a reality at the end of the 20th century - albeit an uneven reality - because of tremendous technological and economic pressures. Unfortunately, this reality is rarely examined in the light of what interests the everyday lives of ordinary people rather than the lives of political and economic elites. The purpose of this book is to offer insightful and thought-provoking commentary on both realities. The tacit question throughout the book is Whose interests are being served by current science education practices and policies?' The various chapters offer critical...

Phenomenology, according to Husserl, is meant to be philosophy as rigorous science. It was Franz Brentano who inspired him to pursue the ideal of scientific philosophy. Though Husserl began his philosophical career as an orthodox disciple of Brentano, he eventually began to have doubts about this orientation. The Logische Unterschungen is the result of such doubts. Especially after the publication of that work, he became increasingly convinced that, in the interests of scientific philosophy, he had to go in a direction which diverged from Brentano and other members of this school...

Das Buch ist eine analytische Darstellung der Hauptideen der Erkenntnistheorie Ingardens. Es basiert zum groten Teil auf dem bis vor kurzem noch unpublizierten bzw. ausschlielich in polnischer Sprache verfaten Material und wendet sich vor allem an die Phanomenologen aber auch an die analytischen Philosophen, die sich fur die Erkenntnistheorie und Ontologie der Intentionalitat interessieren. Die Ingardensche Erkenntnistheorie, seine Theorie der Intentionalitat und die Hauptzuge seiner Ontologie werden auf dem Hintergrund der Brentanoschen und Husserlschen Tradition prasentiert und mit den...

Das Problem des Seinsglaubens in der Phanomenologie Husserls lat sich zweifelsohne zu deren zentralen Themen wie Wahmehmung, Phantasie und Zeitbewutsein zahlen und steht auch in engem Zusammenhang mit diesen. Das Buch Seinsglaube in der Phanomenologie Edmund Husserls versucht dieses Problem zu klaren und zu zeigen, wie weit Husserl bei der Losung dieses Problems gekommen ist und welche Fragen dabei offen blieben, die weiterer Losungen bedurfen. Zudem werden die Grunde fur das Gelingen bzw. Milingen bei Husserls Bemuhungen herausgearbeitet.
Die Einleitung erortert die...