Gesammelte Abhandlungen I - Collected Works I

Like Descartes and Pascal, Hans Hahn (1879-1934) was both an eminent mathematician and a highly influential philosopher. He founded the Vienna Circle and was the teacher of both Kurt Gödel and Karl Popper. His seminal contributions to functional analysis and general topology had a huge impact on the development of modern analysis. Hahn's passionate interest in the foundations of mathematics, vividly described in Sir Karl Popper's foreword (which became his last essay), had a decisive influence upon Gödel. Like Freud, Musil and Schönberg, Hahn became a pivotal figure in the feverish intellectual climate of Vienna between the two wars. Volume 1: The first volume of Hahn's 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, Hahn's 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 Hahn's letters and accounts by his students and colleagues.

The first volume contains Hahn's path-breaking contributions to functional analysis, the theory of curves, and ordered groups. These papers are commented by Harro Heuser, Hans Sagan, and Laszlo Fuchs.

Zum Gedenken an Hahs Hahn / In Memory of Hans Hahn.- Hans Hahn - eine Kurzbiographie / Hans Hahn - A Short Biography.- Commentary on Hans Hahn's Contributions in Functional Analysis.- Hahn's Work on Functional Analysis / Hahns Arbeiten zur Funktionalanalysis.- Bericht über die Theorie der linearen Integralgleichungen. Jahresbericht der D. M. V. 20 (1911): 69-117.- Über die Integrale des Herrn Hellinger und die Orthogonalinvarianten der quadratischen Formen von unendlich vielen Veränderlichen. Monatsh. f. Mathematik u. Physik23 (1912): 161-224.- Über Folgen linearer Operationen. Monatsh. f. Mathematik u. Physik32 (1922): 3-88.- Über lineare Gleichungssysteme in linearen Räumen. Journal f. d. reine u. angew. Mathematik157 (1927): 214-229.- Commentary on Hans Hahn's Contributions to the Theory of Curves.- Hahn's Work on Curve Theory / Hahns Arbeiten zur Kurventheorie.- Über die Anordnungssätze der Geometrie. Monatshefte f. Mathematik u. Physik19 (1908):289-303.- Über die Abbildung einer Strecke auf ein Quadrat. Annali di Matematica21 (1913): 33-55.- Über die allgemeinste ebene Punktmenge, die stetiges Bild einer Strecke ist. Jahresbericht der D. M. 23 (1914): 318-322.- Mengentheoretische Charakterisierung der stetigen Kurve. Sitzungsber. d. Akademie d. Wiss. Wien, math.-naturw. Klasse123 (1914): 2433-2490.- Über die Komponenten offener Mengen. Fundamenta mathematica2 (1921): 189-192.- Über die stetigen Kurven der Ebene. Mathem. Zeitschrift9 (1921): 66-13.- Über irreduzible Kontinua. Sitzungsber d. Akademie d. Wiss. Wien, math.-naturw. Klasse130 (1921): 217-250.- Über stetige Streckenbilder. Atti del Congresso Internazionale dei Matematici2 (1928): 217-220.- Commentary on Hans Hahn's paper "Über nichtarchimedische Größensysteme".- Hahn's Work in Algebra / Hahns Arbeit zur Algebra.- Über die nichtarchimedischen Größensysteme. Sitzungsber d. Akademie d. Wiss. Wien, math.-naturw. Klasse116 (1907): 601-655.- Schriftenverzeichnis / List of Publications Hans Hahn.- Inhaltsverzeichnis, Band 2 / Table of Contents, Volume 2.- Inhaltsverzeichnis, Band 3 / Table of Contents, Volume 3.