Classics in the History of Greek Mathematics

Editors:

ISBN: 978-90-481-5850-8 (Print) 978-1-4020-2640-9 (Online)

Table of contents (25 chapters)

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  1. Front Matter

    Pages i-xi

  2. The Beginnings of Greek Mathematics

    1. Front Matter

      Pages 1-1

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      Book Chapter

      Pages 3-18

      Introduction

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      Book Chapter

      Pages 19-44

      Die Entdeckung der Möglichkeit von Wissenschaft

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      Book Chapter

      Pages 45-80

      Wie ist die Mathematik zu Einer Deduktiven Wissenschaft Geworden?

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      Book Chapter

      Pages 81-109

      On the Early History of Axiomatics: The Interaction of Mathematics and Philosophy in Greek Antiquity

  3. Studies on Greek Geometry

    1. Front Matter

      Pages 111-111

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      Book Chapter

      Pages 113-114

      Introduction

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      Book Chapter

      Pages 115-137

      Construction as Existence Proof in Ancient Geometry

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      Book Chapter

      Pages 139-168

      Book II of Euclid’s Elements in the Light of the Theory of Conic Sections

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      Book Chapter

      Pages 169-183

      The Meno and the Mysteries of Mathematics

  4. Studies on Proportion Theory and Incommensurability

    1. Front Matter

      Pages 185-185

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      Book Chapter

      Pages 187-190

      Introduction

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      Book Chapter

      Pages 191-209

      Eudoxos — Studien I. Eine Voreudoxische Proportionenlehre und Ihre Spuren bei Aristoteles und Euklid

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      Book Chapter

      Pages 211-231

      The Discovery of Incommensurability by Hippasus of Metapontum

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      Book Chapter

      Pages 233-241

      Y Avait-Il une Crise des Fondements des Mathématiques Dans L’Antiquité?

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      Book Chapter

      Pages 243-253

      The Impact of Modern Mathematics on Ancient Mathematics

  5. Studies on Greek Algebra

    1. Front Matter

      Pages 255-255

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      Book Chapter

      Pages 257-263

      Introduction

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      Book Chapter

      Pages 265-273

      Zur Berechnung der Quadratischen Gleichungen bei den Babyloniern

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      Book Chapter

      Pages 275-284

      Lost Greek Mathematical Works in Arabic Translation

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      Book Chapter

      Pages 285-327

      Diophantus’ Methods of Solution

  6. Did the Greeks have the Notion of Common Fraction? Did they Use it?

    1. Front Matter

      Pages 329-329

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      Book Chapter

      Pages 331-336

      Introduction

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      Book Chapter

      Pages 337-365

      Techniques of Fractions in Ancient Egypt and Greece

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      Book Chapter

      Pages 367-380

      Logistic and Fractions in Early Greek Mathematics: A New Interpretation

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