Karl Menger
Selecta Mathematica II
Herausgeber: Sklar, Abe; Sigmund, Karl; Schweizer, Bert; Hlawka, Edmund; Gruber, Peter; Schmetterer, Leopold; Reich, Ludwig
Karl Menger
Selecta Mathematica II
Herausgeber: Sklar, Abe; Sigmund, Karl; Schweizer, Bert; Hlawka, Edmund; Gruber, Peter; Schmetterer, Leopold; Reich, Ludwig
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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…mehr
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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.
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Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Produktdetails
- Produktdetails
- Verlag: Springer / Springer Vienna / Springer, Wien
- Artikelnr. des Verlages: 10777146, 978-3-211-83834-1
- Repr. d. Ausg. v. 2002
- Seitenzahl: 692
- Erscheinungstermin: 23. Dezember 2002
- Deutsch, Englisch
- Abmessung: 241mm x 160mm x 42mm
- Gewicht: 1358g
- ISBN-13: 9783211838341
- ISBN-10: 3211838341
- Artikelnr.: 11160946
- Herstellerkennzeichnung Die Herstellerinformationen sind derzeit nicht verfügbar.
- Verlag: Springer / Springer Vienna / Springer, Wien
- Artikelnr. des Verlages: 10777146, 978-3-211-83834-1
- Repr. d. Ausg. v. 2002
- Seitenzahl: 692
- Erscheinungstermin: 23. Dezember 2002
- Deutsch, Englisch
- Abmessung: 241mm x 160mm x 42mm
- Gewicht: 1358g
- ISBN-13: 9783211838341
- ISBN-10: 3211838341
- Artikelnr.: 11160946
- Herstellerkennzeichnung Die Herstellerinformationen sind derzeit nicht verfügbar.
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.- MiscellaneousMenger's Work on Logic and Foundations.- 1 Overview of Neural and Symbolic Systems.- Bemerkungen zu Grundlagenfragen I: Über Verzweigungsmengen, Jahresbericht der Deutschen Mathematiker-Vereinigung 37 (1928), 213-226.- Selected Papers on Analysis.- Commentary on Karl Menger's Contributions to Analysis.- On Cauchy's Integral Theorem in the Real Plane, Proc. Nat. Acad. Sci. 25 (1939), 621-625.- On Green's 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 für Forschung des Landes Nordrhein-Westfalen, Vol. 33, Köln (1965), 609-612.- Une caractérisation 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 Menger's Path Length Papers.- On Shortest Polygonal Approximations to a Curve, Reports of Math. Colloq. Notre Dame, Indiana 2 (1940), 33-38.- Définition intrinsèque de la notion de chemin, Comptes Rendus Acad. Paris 221 (1945), 739-741.- Stieltjes Integrals Considered as Lengths, Annales Société Polonaise Math. 21 (1948), 173-175.- What Paths Have Length?, Fundamenta Mathematicae 36 (1949), 109-118.- A Topological Characterization of the Length of Paths, Proc. Nat. Acad. Sci. 38 (1952), 66-69.- Selected Papers on Algebra of Analysis.- Commentary on the Algebra of Analysis and Algebra of Functions.- The Influence of Menger's Ideas on the Work of Nöbauer and His School.- Algebra of Analysis, Report Notre Dame Mathematical Lectures, Vol. 3, 1944 (pp. I-II, 1-44).- Tri-Operational Algebra, Reports of Math. Colloq. Notre Dame, Indiana 5/6 (1944), 3-10.- General Algebra of Analysis, Reports of Math. Colloq. Notre Dame, Indiana 7 (1946), 46-60.- An Axiomatic Theory of Functions and Fluents, in:The Axiomatic Method (eds. L. Henkin, P. Suppes and A. Tarski) North Holland, 1959, 454-473.- The Algebra of Functions: Past, Present, Future, Rendiconti di Matematica 20 (1961), 409-430.- On Substitutive Algebra and Its Syntax, Zeitschrift für mathematische Logik und Grundlagen der Mathematik 10 (1964), 81-104.- Superassociative Systems and Logical Functors, Mathematische Annalen 157 (1964), 278-295.- Two Theorems on the Generation of Systems of Functions (with H. I. Whitlock), Fundamenta Mathematicae 58 (1966), 229-240.- Selected Papers on Didactics, Variables, and Fluents.- Commentary on Didactics, Variables, Fluents.- A Mengerian Tour Along Caratheodory's Royal Road.- Calculus - A Modern Approach, Introduction and Chapter 1, Ginn and Co., Boston, 1955, xi-xvii and 1-18.- The Mathematics of Elementary Thermodynamics, American Journal of Physics 18 (1950), 89-103.- Random Variables from the Point of View of a General Theory of Variables, Proceedings of the Third Berkeley Symposium on Mathematical Statistics and Probability (1954-1955), eds. L. M. Le Cam and O. Neyman, University of California Press, Berkeley, 1956, Vol. 2, 215-229.- What are x and y? The Mathematical Gazette 40 (1956), 246-255.- Rates of Change and Derivatives, Fundamenta Mathematicae 46 (1958), 89-102.- Selected Papers on Probabilistic Geometry.- Commentary on Probabilistic Geometry.- Statistical Metrics, Proc. Nat. Acad. Sci. 28 (1942), 535-537.- Probabilistic Theories of Relations, Proc. Nat. Acad. Sci. 37 (1951), 178-180.- Probabilistic Geometry, Proc. Nat. Acad. Sci. 37 (1951), 226-229.- Ensembles flous et fonctions aléatoires, Comptes Rendus Acad. Paris 232 (1951), 2001-2003.- Selected Papers on Group Theory and Algebra.- Commentary on Menger's Work on Algebra.- Beiträge zur Gruppentheorie I. Über eine Gruppenmetrik, Mathematische Zeitschrift 33 (1931), 396-418.- Une théorie axiomatique générale des déterminants, Comptes Rendus Acad. Paris 234 (1952),
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.- MiscellaneousMenger's Work on Logic and Foundations.- 1 Overview of Neural and Symbolic Systems.- Bemerkungen zu Grundlagenfragen I: Über Verzweigungsmengen, Jahresbericht der Deutschen Mathematiker-Vereinigung 37 (1928), 213-226.- Selected Papers on Analysis.- Commentary on Karl Menger's Contributions to Analysis.- On Cauchy's Integral Theorem in the Real Plane, Proc. Nat. Acad. Sci. 25 (1939), 621-625.- On Green's 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 für Forschung des Landes Nordrhein-Westfalen, Vol. 33, Köln (1965), 609-612.- Une caractérisation 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 Menger's Path Length Papers.- On Shortest Polygonal Approximations to a Curve, Reports of Math. Colloq. Notre Dame, Indiana 2 (1940), 33-38.- Définition intrinsèque de la notion de chemin, Comptes Rendus Acad. Paris 221 (1945), 739-741.- Stieltjes Integrals Considered as Lengths, Annales Société Polonaise Math. 21 (1948), 173-175.- What Paths Have Length?, Fundamenta Mathematicae 36 (1949), 109-118.- A Topological Characterization of the Length of Paths, Proc. Nat. Acad. Sci. 38 (1952), 66-69.- Selected Papers on Algebra of Analysis.- Commentary on the Algebra of Analysis and Algebra of Functions.- The Influence of Menger's Ideas on the Work of Nöbauer and His School.- Algebra of Analysis, Report Notre Dame Mathematical Lectures, Vol. 3, 1944 (pp. I-II, 1-44).- Tri-Operational Algebra, Reports of Math. Colloq. Notre Dame, Indiana 5/6 (1944), 3-10.- General Algebra of Analysis, Reports of Math. Colloq. Notre Dame, Indiana 7 (1946), 46-60.- An Axiomatic Theory of Functions and Fluents, in:The Axiomatic Method (eds. L. Henkin, P. Suppes and A. Tarski) North Holland, 1959, 454-473.- The Algebra of Functions: Past, Present, Future, Rendiconti di Matematica 20 (1961), 409-430.- On Substitutive Algebra and Its Syntax, Zeitschrift für mathematische Logik und Grundlagen der Mathematik 10 (1964), 81-104.- Superassociative Systems and Logical Functors, Mathematische Annalen 157 (1964), 278-295.- Two Theorems on the Generation of Systems of Functions (with H. I. Whitlock), Fundamenta Mathematicae 58 (1966), 229-240.- Selected Papers on Didactics, Variables, and Fluents.- Commentary on Didactics, Variables, Fluents.- A Mengerian Tour Along Caratheodory's Royal Road.- Calculus - A Modern Approach, Introduction and Chapter 1, Ginn and Co., Boston, 1955, xi-xvii and 1-18.- The Mathematics of Elementary Thermodynamics, American Journal of Physics 18 (1950), 89-103.- Random Variables from the Point of View of a General Theory of Variables, Proceedings of the Third Berkeley Symposium on Mathematical Statistics and Probability (1954-1955), eds. L. M. Le Cam and O. Neyman, University of California Press, Berkeley, 1956, Vol. 2, 215-229.- What are x and y? The Mathematical Gazette 40 (1956), 246-255.- Rates of Change and Derivatives, Fundamenta Mathematicae 46 (1958), 89-102.- Selected Papers on Probabilistic Geometry.- Commentary on Probabilistic Geometry.- Statistical Metrics, Proc. Nat. Acad. Sci. 28 (1942), 535-537.- Probabilistic Theories of Relations, Proc. Nat. Acad. Sci. 37 (1951), 178-180.- Probabilistic Geometry, Proc. Nat. Acad. Sci. 37 (1951), 226-229.- Ensembles flous et fonctions aléatoires, Comptes Rendus Acad. Paris 232 (1951), 2001-2003.- Selected Papers on Group Theory and Algebra.- Commentary on Menger's Work on Algebra.- Beiträge zur Gruppentheorie I. Über eine Gruppenmetrik, Mathematische Zeitschrift 33 (1931), 396-418.- Une théorie axiomatique générale des déterminants, Comptes Rendus Acad. Paris 234 (1952),