Ancient Mathematics

ISBN-13: 9780415164955 / Angielski / Miękka / 2001 / 304 str.

Serafina Cuomo; S. Cuomo

Opis

The discoveries and insights of ancient mathematicians continue to inspire, amaze and fascinate the modern reader. From the theorem of Pythagoras to Euclid's "Elements', much of what we know today was built on the legacy of the ancients.
This volume is the first genuinely accessible survey of the discipline in all its brilliance and diversity. It covers the period between the fifth-century BCE to the sixth-century CE and such topics as mathematics and politics in classical Greece, the formation of mathematical traditions, and mathematics and Christianity. Also included are segments on individual ancient mathematicians.
"Ancient Mathematics" will be essential for science history students and a valuable resource for the non-specialist.

Spis treści

Abbreviations. Map. Introduction. 1. Early Greek Mathematics: The Evidence 1.1. Materila 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.

O autorze

Serafina Cuomo