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© 2002

Selecta Mathematica

Volume 1

  • Authors
  • Bert Schweizer
  • Abe Sklar
  • Karl Sigmund
  • Peter Gruber
  • Edmund Hlawka
  • Ludwig Reich
  • Leopold Schmetterer
Book

Table of contents

  1. Front Matter
    Pages i-x
  2. Introduction

    1. Bert Schweizer
      Pages 1-5
  3. Karl Menger and Vienna’s Golden Autumn

  4. Commentary on Menger’s Work on Dimension Theory

  5. Selected Papers on Dimension Theory

    1. Front Matter
      Pages 33-33
    2. Karl Menger
      Pages 35-56
    3. Karl Menger, L. E. J. Brouwer
      Pages 57-63
    4. W. Hurewicz, K. Menger
      Pages 65-80
    5. Karl Menger
      Pages 93-118
    6. Par C. Kuratowski, K. Menger
      Pages 129-134
    7. Tony Crilly, Alan Moran
      Pages 141-152
  6. Selected Papers on Curve Theory and Topology

    1. Front Matter
      Pages 153-153
    2. Karl Menger
      Pages 179-208
    3. Karl Menger, L. E. J. Brouwer
      Pages 209-213

About this book

Introduction

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.


Keywords

Analysis/dimension Dimension Geometrie Konvexität Kurven Topologie Volumen analysis curves geometry topology

Editors and affiliations

  • Bert Schweizer
    • 1
  • Abe Sklar
    • 2
  • Karl Sigmund
    • 3
  • Peter Gruber
    • 4
  • Edmund Hlawka
    • 4
  • Ludwig Reich
    • 5
  • Leopold Schmetterer
    • 3
  1. 1.Department of Mathematics and StatisticsUniversity of Massachusetts, Lederle Graduate Research CenterAmherstUSA
  2. 2.Department of MathematicsIllinois Institute of TechnologyChicagoUSA
  3. 3.Institute of MathematicsUniversity of ViennaAustria
  4. 4.Institute of Analysis and Technical MathematicsTechnical UniversityViennaAustria
  5. 5.Institute of MathematicsUniversity of GrazAustria

Bibliographic information

  • Book Title Selecta Mathematica
  • Book Subtitle Volume 1
  • Authors Karl Menger
  • Editors Bert Schweizer
    Abe Sklar
    Karl Sigmund
    Leopold Schmetterer
    Peter Gruber
    Edmund Hlawka
    Ludwig Reich
  • DOI https://doi.org/10.1007/978-3-7091-6110-4
  • Copyright Information Springer-Verlag GmbH Austria, part of Springer Nature 2002
  • Publisher Name Springer, Vienna
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-3-211-83734-4
  • Softcover ISBN 978-3-7091-7282-7
  • eBook ISBN 978-3-7091-6110-4
  • Edition Number 1
  • Number of Pages X, 611
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Additional Information Reprint 2016 of the 2002 Edition
  • Topics History of Mathematical Sciences
    Analysis
    Geometry
    Topology
  • Buy this book on publisher's site