Selecta Mathematica: v. 1

ISBN-13: 9783211837344 / Angielski / Book / 2002 / 616 str.

Karl Menger;B. Schweizer;Karl Sigmund

Opis

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.

Spis treści

Schweizer, B.: Introduction.- Sigmund, K.: Karl Menger and Vienna's Golden Autumn.- Johnson, D. M.: Commentary on Menger's Work on Dimension Theory.- Selected Papers on Dimension Theory.- Crilly, T., Moran, A.: Commentary on Menger's Work on Curve Theory and Topology.- Selected Papers on Curve Theory and Topology.- Plauman, P., Strambach, K.: Commentary on Menger's "Untersuchungen über allgemeine Metrik".- "Untersuchungen über allgemeine Metrik .- Sagan, H.: Commentary on Menger's Work on the Calculus of Variations.- Selected Papers on Calculus of Variations.- Benz, W.: Commentary on Menger's Work on the Algebra of Geometry.- Selected Papers on Algebra of Geometry.- Benz, W.: Commentary on Menger's Expository Papers on Geometry.- Selected Expository Papers on Geometry.- List of Publications Karl Menger