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Table of contents (43 chapters)
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Front Matter
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Introduction
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Karl Menger and Vienna’s Golden Autumn
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Commentary on Menger’s Work on Dimension Theory
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Selected Papers on Dimension Theory
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Front Matter
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Selected Papers on Curve Theory and Topology
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Front Matter
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About this book
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.
Editors and Affiliations
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Department of Mathematics and Statistics, University of Massachusetts, Lederle Graduate Research Center, Amherst, USA
Bert Schweizer
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Department of Mathematics, Illinois Institute of Technology, Chicago, USA
Abe Sklar
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Institute of Mathematics, University of Vienna, Austria
Karl Sigmund, Leopold Schmetterer
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Institute of Analysis and Technical Mathematics, Technical University, Vienna, Austria
Peter Gruber, Edmund Hlawka
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Institute of Mathematics, University of Graz, Austria
Ludwig Reich
Bibliographic Information
Book Title: Selecta Mathematica I
Authors: Karl Menger
Editors: Bert Schweizer, Abe Sklar, Karl Sigmund, Peter Gruber, Edmund Hlawka, Ludwig Reich, Leopold Schmetterer
DOI: https://doi.org/10.1007/978-3-7091-6110-4
Publisher: Springer Vienna
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag GmbH Austria, part of Springer Nature 2002
Hardcover ISBN: 978-3-211-83734-4Published: 08 April 2002
Softcover ISBN: 978-3-7091-4862-4Published: 13 December 2016
eBook ISBN: 978-3-7091-6110-4Published: 12 March 2013
Edition Number: 1
Number of Pages: X, 611
Additional Information: Reprint 2016 of the 2002 Edition
Topics: History of Mathematical Sciences, Analysis, Geometry, Topology