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Ancient Mathematics

Table of Contents

Abbreviations.

Map.

Introduction.

1. Early Greek Mathematics: The Evidence

1.1. Material Evidence

1.2 .Historians, Playwrights and Lawyers

1.3. Plato

1.4. Aristotle

2. Early Greek Mathematics; The Questions

2.1. The Problem of Political Mathematics

3. Hellenistic Mathematics: The Evidence

3.1. Material Evidence

3.2. Non-Mathematical Authors - The Rest of the World

3.3. Non-Mathematical Authors - The Philosophers

3.4. Little People

3.5. Euclid

3.6. Archimedes

3.7. Apollonius

4. Hellenistic Mathematics: The Questions

4.1. The Problem of the Real Euclid

4.2. The Problem of the Birth of a Mathematical Community

5. Graeco-Roman Mathematics: The Evidence

5.1. Material Evidence

5.2 Vitruvius

5.3. Hero

5.4. The Other Romans

5.5. The Other Greeks

6. Graeco-Roman Mathematics: The Questions

6.1. The Problem of Greek vs. Roman Mathematics

6.2. The Problem of Pure vs. Applied Mathematics

7. Late Ancient Mathematics: The Evidence

7.1. Material Evidence

7.2. Diophantus

7.3. Pappus

7.4. Eutocius

7.5. The Philosophers

7.6. The Rest of the World

8. Late Ancient Mathematics: The Questions

8.1. The Problem of Divine Mathematics

8.2. The Problem of Ancient Histories of Ancient Mathematics

Glossary.

Bibliography.

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