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Karl Menger, one of the founders of dimension theory, belongs to the most original mathematicians and thinkers of the twentieth century. He was a member of the Vienna Circle and the founder of its mathematical equivalent, the Viennese Mathematical Colloquium. Both during his early years in Vienna, and after his emigration to the United States, Karl Menger made significant contributions to a wide variety of mathematical fields, and greatly influenced some of his colleagues. The Selecta Mathematica contain Menger's major mathematical papers, based on his own selection of his extensive writings. They deal with topics as diverse as topology, geometry, analysis and algebra, as well as writings on economics, sociology, logic, philosophy and mathematical results. The two volumes are a monument to the diversity and originality of Menger's ideas.
Karl Menger, one of the founders of dimension theory, is among the
most original mathematicians and thinkers of the twentieth century.
He was a member of the Vienna Circle and the founder of its
mathematical equivalent, the Viennese Mathematical Colloquium. Both
during his early years in Vienna and, after his emigration, in the
United States, Karl Menger made significant contributions to a wide
variety of mathematical fields, and greatly influenced many of his
colleagues. These two volumes contain Menger's major mathematical
papers, based on his own selection from his extensive writings.
They deal with topics as diverse as topology, geometry, analysis
and algebra, and also include material on economics, sociology,
logic and philosophy. The Selecta Mathematica is a monument to the
diversity and originality of Menger's ideas.
Die gesammelten mathematischen und philosophischen Werke von Hans
Hahn erscheinen hier in einer dreibandigen Ausgabe. Sie enthalt
samtli che Veroffentlichungen von Hahn, mit Ausnahme jener, die
ursprtinglich in Buchform erschienen - dazu gehoren neben dem
zweibandigen Werk tiber Reelle Funktionen auch die Einfuhrung in
die Elemente der hdheren Mathematik, die er gemeinsam mit Heinrich
Tietze schrieb, seine An merkungen zu Bolzanos Paradoxien des
Unendlichen und mehrere Kapi tel fUr E. Pascals Repertorium der
hdheren Mathematik. Nicht aufge nommen wurden auch die
Buchbesprechungen von Hahn, bis auf seine Besprechung von
Pringsheims Vorlesungen uber Zahlen- und Funktions lehre, die einen
eigenen Aufsatz tiber die Grundlagen des Zahlbegriffs darstellt.
Hahn war nicht nur einer der hervorragendsten Mathematiker dieses
lahrhunderts: Sein EinfluB auf die Philosophie war auch hochst
bedeut sam. Das kommt in der Einleitung, die sein ehemaliger
Schiiler Sir Karl Popper fUr diese Gesamtausgabe geschrieben hat,
deutlich zum Ausdruck. (Diese Einleitung ist der lctzte Essay, den
Sir Karl Popper verfaBte. ) Hahn schrieb ausschlieBlich auf
deutsch. Wir haben seine Arbeiten in Teilgebiete zusammengefaBt
(was auch auf andere Art geschehen hatte konnen) und ihnenjeweils
einen englischsprachigen Kommentar vorange stellt. Diese
Kommentare, die von hervorragenden Experten stammen, be schreiben
Hahns Arbeiten und ihre Wirkung."
Karl Menger, one of the founders of dimension theory, is among the
most original mathematicians and thinkers of the twentieth century.
He was a member of the Vienna Circle and the founder of its
mathematical equivalent, the Viennese Mathematical Colloquium. Both
during his early years in Vienna and, after his emigration, in the
United States, Karl Menger made significant contributions to a wide
variety of mathematical fields, and greatly influenced many of his
colleagues. These two volumes contain Menger's major mathematical
papers, based on his own selection from his extensive writings.
They deal with topics as diverse as topology, geometry, analysis
and algebra, and also include material on economics, sociology,
logic and philosophy. The Selecta Mathematica is a monument to the
diversity and originality of Menger's ideas.
Adequate blood supply to the eye is an important prerequisite for
normal visual function. Over the past 40 years our knowledge of
ocular blood flow regulation has improved significantly. This
reader-friendly textbook provides a comprehensive overview of the
current knowledge of ocular blood flow. Lavishly illustrated, it
evaluates the wide array of methods that have been used to measure
ocular blood flow. Furthermore, it not only offers the reader an
evidence-based summary of the physiological and pharmacological
properties of ocular blood flow regulation, but also demonstrates
the ocular blood flow abnormalities in different vascular diseases.
This book will enhance the understanding of all who are interested
in learning more about ocular blood flow in health and disease.
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 Goedel
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 Goedel. Like
Freud, Musil and Schoenberg, 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.
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 Goedel
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 Goedel. Like
Freud, Musil and Schoenberg, 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.
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 Goedel
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 Goedel. Like
Freud, Musil and Schoenberg, 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.
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