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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.
List of contents
From the Table of Contents: D. Van Dalen: Commentary on Menger and Intuitionism; Menger's Work on Logic and Foundations.- L. Reich: Commentary on Menger's Contributions to Analysis; Selected Papers on Analysis.- L. Senechal: Commentary on Menger's Path Length Papers; Selected Papers on Length.- A. Sklar: Commentary on the Algebra of Analysis and Algebra of Functions; H. Kaiser: The Influence of Menger's Ideas on the Work of Nöbauer and His School; Selected Papers on Algebra of Analysis.- B. Schweizer, A. Sklar: Commentary on Menger's Work on Didactics, Variabels, Fluents; L. Senechal, B. Schweizer: A Mengarian Tour Along Caratheodory's Royal Road; Selected Papers on Didactics, Variables, and Fluents.- B. Schweizer: Commentary on Probabilistic Geometry; Selected Papers on Probabilistic Geometry.- H. Lausch: Commentary on Menger's Work on Algebra; Selected Papers on Group Theory and Algebra.- R. Leonhard: Commentary on Menger's Work on Sociology; Selected Papers on Sociology.- K. Sigmund: Commentary on Menger's 'Austrian Marginalism and Mathematical Economics'; Menger's Work on Economics.- Miscellaneous
Summary
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.
