Gesammelte Abhandlungen III - Collected Works III [Paperback]

Like Descartes and Pascal, Hans Hahn (18791934) was both an eminent mathematician and a highly influential philosopher. He founded the Vienna Circle and was the teacher of both Kurt G?del and Karl Popper.

His seminal contributions to functional analysis and general topology had a huge impact on the development of modern analysis. Hahns passionate interest in the foundations of mathematics, vividly described in Sir Karl Poppers foreword (which became his last essay), had a decisive influence upon G?del. Like Freud, Musil and Sch?nberg, Hahn became a pivotal figure in the feverish intellectual climate of Vienna between the two wars. Volume 1: The first volume of Hahns Collected Works contains his path-breaking contributions to functional analysis, the theory of curves, and ordered groups. These papers are commented on by Harro Heuser, Hans Sagan, and Laszlo Fuchs. Volume 2: The second volume deals with functional analysis, real analysis and hydrodynamics.

The commentaries are written by Wilhelm Frank, Davis Preiss, and Alfred Kluwick. Volume 3: In the third volume, Hahns writings on harmonic analysis, measure and integration, complex analysis and philosophy are collected and commented on by Jean-Pierre Kahane, Heinz Bauer, Ludger Kaup, and Christian Thiel. This volume also contains excerpts of Hahns letters and accounts by his students and colleagues.

Inhaltsverzeichnis/Table of Contents.- Comments on Hans Hahns work in measure theory.- Comments on Hans Hahns work in measure theory.- Hahns work in measure theory / Hahns Arbeiten zur Ma?theorie.- ?ber Ann?herung an Lebesguesche Integrale durch Riemannsche Summen. Sitzungsber. d. Akademie d. Wiss. Wien, math.-naturw. Klasse123: 713743.- ?ber eine Verallgemeinerung der Riemannschen Integraldefinition. Monatsh. f. Mathematik u. Physik26: 318.- ?ber additive Mengenfunktionen. Anzeiger d. Akad. d. W. in Wien65: 6566.- ?ber unendliche ReilóÇ