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Selecta Mathematica

Volume 2

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

Table of contents

  1. Front Matter
    Pages i-x
  2. Menger’s Work on Logic and Foundations

    1. Front Matter
      Pages 1-1
    2. Dirk van Dalen
      Pages 3-8
    3. Karl Menger
      Pages 9-22
  3. Selected Papers on Analysis

    1. Front Matter
      Pages 23-23
    2. Karl Menger
      Pages 41-45
    3. Karl Menger
      Pages 51-54
    4. Karl Menger
      Pages 57-74
  4. Selected Papers on Length

    1. Front Matter
      Pages 75-75
    2. Lester Senechal
      Pages 77-80
    3. M. Karl Menger, M. Élie Cartan
      Pages 87-89
    4. Karl Menger
      Pages 95-104
  5. Selected Papers on Algebra of Analysis

    1. Front Matter
      Pages 109-109
    2. Karl Menger
      Pages 135-180
    3. Karl Menger
      Pages 181-188
    4. Karl Menger
      Pages 189-203
    5. Karl Menger
      Pages 247-270
    6. Karl Menger, H. Ian Whitlock
      Pages 289-300
  6. Selected Papers on Didactics, Variables, and Fluents

    1. Front Matter
      Pages 301-301
    2. B. Schweizer, A. Sklar
      Pages 303-316
    3. L. Senechal, B. Schweizer
      Pages 317-323
    4. Bert Schweizer, Abe Sklar, Karl Sigmund, Peter Gruber, Edmund Hlawka, Ludwig Reich et al.
      Pages 325-349
    5. Karl Menger
      Pages 383-392
    6. Karl Menger
      Pages 393-406
  7. Selected Papers on Probabilistic Geometry

    1. Front Matter
      Pages 407-407
    2. B. Schweizer
      Pages 409-432
    3. Karl Menger
      Pages 433-435
    4. Karl Menger
      Pages 437-439
    5. Karl Menger
      Pages 441-444
    6. M. Karl Menger
      Pages 445-447
  8. Selected Papers on Group Theory and Algebra

    1. Front Matter
      Pages 449-449
    2. Hans Lausch
      Pages 451-461
    3. Karl Menger
      Pages 463-485
    4. M. Karl Menger, M. Georges Bouligand
      Pages 487-489
  9. Selected Papers on Sociology

    1. Front Matter
      Pages 491-491

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 Geometrie Soziologie Topologie Volumen economics geometry sociology Ökonomie/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