An Introduction to the History of Mathematics

Abstract

Before the 17th Century. Part I: Cultural Connections: The Hunters of the Savanna (The Stone Age). Numeral Systems. Part II: Cultural Connections: The Agricultural Revolution (The Cradles of Civilization). Babylonian and Egyptian Mathematics. Part III: Cultural Connections: The Philosophers of the Agora (Hellenic Greece). Phytagorean Mathematics. Duplication, Trisection, And Quadrature. Part IV: Cultural Connections: The Oikoumene (The Persian Empire, Hellenistic Greece, And the Roman Empire). Euclid and His Elements. Greek Mathematics After Euclid. Part V: Cultural Connections: The Asian Empires (China, India, And the Rise of Islam). Chinese, Hindu, And Arabian Mathematics. Part VI: Cultural Connections: Serfs, Lords, And Popes (The European Middle Ages). European Mathematics, 500 to 1600. The 17th Century and After. Part VII: Cultural Connections: Puritans and Sea Dogs (The Expansion of Europe). The Dawn of Modern Mathematics. Analytic Geometry and Other Precalculus Developments. The Calculus and Related Concepts. Part VIII: Cultural Connections: The Revolt of the Middle Class (The 18th Century in Europe and America). The 18th Century and the Exploitation of the Calculus. Part IX: Cultural Connections (The Industrial Revolution (The 19th Century). The Early 19th Century and the Liberation of Geometry and Algebra. The Late 19th Century and the Arithmetization of Analysis. Part X: Cultural Connections: The Atom and the Spinnnig Wheel (The 20th Century). Transition Into the 20th Century. General Bibliography. A Chronological Table. Answers and Suggestions for the Solutions of the Problem Studies. Index.

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