Overview

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 a personal selection by himself out 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.

Full Product Details

Author:   Karl Menger ,  Bert Schweizer ,  Abe Sklar ,  Karl Sigmund
Publisher:   Springer Verlag GmbH
Imprint:   Springer Verlag GmbH
Edition:   2003 ed.
Dimensions:   Width: 17.80cm , Height: 3.60cm , Length: 25.40cm
Weight:   2.510kg
ISBN:  

9783211838341

ISBN 10:   3211838341
Pages:   678
Publication Date:   23 December 2002
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table 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

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