Selecta Mathematica II [Hardcover]

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.

Mengers Work on Logic and Foundations.- 1 Overview of Neural and Symbolic Systems.- Bemerkungen zu Grundlagenfragen I: ?ber Verzweigungsmengen, Jahresbericht der Deutschen Mathematiker-Vereinigung 37 (1928), 213-226.- Selected Papers on Analysis.- Commentary on Karl Mengers Contributions to Analysis.- On Cauchys Integral Theorem in the Real Plane, Proc. Nat. Acad. Sci. 25 (1939), 621-625.- On Greens Formula, Proc. Nat. Acad. Sci. 26 (1940), 660-664.- The Behavior of a Complex Function at Infinity, Proc. Nat. Acad. Sci. 41 (1955), 512-513.- A Characterization of Weierstrass Analytic Functions, Proc. Nat. Acad. Sci. 54 (1965), 1025-1026.- Analytische Funktionen, Wissenschaftliche Abhandlungen der Arbeitsgemeinschaft f?r Forschung des Landes Nordrhein-Westfalen, Vol. 33, K?ln (1965), 609-612.- Une caract?risation des fonctions analytiques, Comptes Rendus Acad. Paris 261 (1965), 4968-4969.- Weierstrass Analytic Functions, Mathematische Annalen 167 (1966), 177-194.- Selected Papers on Length.- Commentary on Mengers Path Length Papers.- On Shortest Polygonal Approximations to a Curl³ƒ