Origins. Egypt. Mesopotamia. Ionia and the Pythagoreans. The Heroic Age. The Age of Plato and Aristotle. Euclid of Alexandria. Archimedes of Syracuse. Apollonius of Perga. Greek Trigonometry and Mensuration. Revival and Decline of Greek Mathematics. China and India. The Arabic Hegemony. Europe in the Middle Ages. The Renaissance. Prelude to Modern Mathematics. The Time of Fermat and Descartes. A Transitional Period. Newton and Leibniz. The Bernoulli Era. The Age of Euler. Mathematicians of the French Revolution. The Time of Gauss and Cauchy. Geometry. Analysis. Algebra. Poincare and Hilbert. Aspects of the Twentieth Century. References. General Bibliography. Appendix. Index.