2003

Selecta Mathematica

Volume 2

Authors:

ISBN: 978-3-7091-7294-0 (Print) 978-3-7091-6045-9 (Online)

Table of contents (53 chapters)

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  1. Front Matter

    Pages i-x

  2. Menger’s Work on Logic and Foundations

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-8

      Commentary on Menger and Intuitionism

    3. No Access

      Book Chapter

      Pages 9-22

      Bemerkungen zu Grundlagenfragen

  3. Selected Papers on Analysis

    1. Front Matter

      Pages 23-23

    2. No Access

      Book Chapter

      Pages 25-34

      Commentary on Karl Menger’s Contributions to Analysis

    3. No Access

      Book Chapter

      Pages 35-39

      On Cauchy’s Integral Theorem in the Real Plane

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      Book Chapter

      Pages 41-45

      On Green’s Formula

    5. No Access

      Book Chapter

      Pages 47-48

      The Behavior of a Complex Function at Infinity

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      Book Chapter

      Pages 49-50

      A Characterization of Weierstrass Analytic Functions

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      Book Chapter

      Pages 51-54

      Analytische Funktionen

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      Book Chapter

      Pages 55-56

      Une Caractérisation Des Fonctions Analytiques

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      Book Chapter

      Pages 57-74

      Weierstrass Analytic Functions

  4. Selected Papers on Length

    1. Front Matter

      Pages 75-75

    2. No Access

      Book Chapter

      Pages 77-80

      Commentary on Menger’s Path Length Papers

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      Book Chapter

      Pages 81-86

      On Shortest Polygonal Approximations to a Curve

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      Book Chapter

      Pages 87-89

      Définition intrinsèque de la notion de chemin

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      Book Chapter

      Pages 91-93

      Stieltjes Integrals Considered as Lengths

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      Book Chapter

      Pages 95-104

      What paths have length?

    7. No Access

      Book Chapter

      Pages 105-108

      A Topological Characterization of the Length of Paths

  5. Selected Papers on Algebra of Analysis

    1. Front Matter

      Pages 109-109

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      Book Chapter

      Pages 111-126

      Commentary on the Algebra of Analysis and Algebra of Functions

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      Book Chapter

      Pages 127-134

      The Influence of Menger’s Ideas on the Work of Nöbauer and His School

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      Book Chapter

      Pages 135-180

      Algebra of Analysis

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      Book Chapter

      Pages 181-188

      Tri-Operational Algebra

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