Table of Content
Preface. Prologue. I. BEFORE THE ADVENT OF CIVILIZATION. 1. Origins of Number and Culture. II. ANTIQUITY: FROM PROTOMATHEMATICS TO THEORETICAL MATHEMATICS. 2. The Dawning of Mathematics in the Ancient Near East. 3. Beginnings of Theoretical Mathematics in Pre-Socratic Greece. 4. Theoretical Mathematics Established in Fourth-Century Greece. 5. Ancient Mathematical Zenith in the Hellenistic Third Century B.C., I: The Alexandrian Museum and Euclid. 6. Ancient Mathematical Zenith in the Hellenistic Third Century B.C., II: Archimedes to Diocles. 7. Mathematics in Roman and Later Antiquity, Centering in Alexandria. 8. Mathematics in Traditional China from the Late Shang Dynasty to the Mid-Seventeenth Century. 9. Indian Mathematics: From Harappan to Keralan Times. III. THE ISLAMIC WORLD, LATIN WEST, AND MAYA AMERICA FROM THE MIDDLE AGES TO ca. 1500. 10. Mathematics in the Service of Religion. 11. The Era of Arabic Primacy and a Persian Flourish. 12. Recovery and Expansion in Old Europe, 1000 - 1500. THE TRANSITION TO MODERN MATHEMATICS IN EUROPE. 13. The First Phase of the Scientific Revolution, ca. 1450 - 1600: Algebra and Geometry. 14. Transformation ca. 1600 - 1660: I. 15. Transformation ca. 1600 - 1660: II: To the Edge of Modernity. 16. The Apex of the Scientific Revolution I: Setting and Laureates. 17. The Apex of the Scientific Revolution II: Calculus to Probability. Endnotes. Suggested Further Readings. Name Index. Subject Index. Photo Credits.
