A Short Account of the History of Mathematics

A Short Account of the History of Mathematics
W.W. Rouse Ball

This standard text treats hundreds of figures and schools instrumental in the development of mathematics, from the Phoenicians to such 19th-century giants as Grassman, Galois, and Riemann.

I. Egyptian and Phoenician Mathematics
II. The Ionian and Pythagorean Schools. Circ. 600 b.c.–400 b.c.
III. The Schools of Athens and Cyzicus. Circ. 420–300 b.c.
IV. The First Alexandrian School. Circ. 300–30 b.c.
V. The Second Alexandrian School. 30 b.c.–641 a.d.
VI. The Byzantine School. 641–1453
VII. Systems of Numeration and Primitive Arithmetic
VIII. The Rise Of Learning In Western Europe. Circ. 600–1200
IX. The Mathematics Of The Arabs
X. Introduction of Arabian Works into Europe. Circ. 1150–1450
XI. The Development Of Arithmetic. Circ. 1300–1637
XII. The Mathematics of the Renaissance. Circ. 1450–1637
XIII. The Close of the Renaissance. Circ. 1586–1637
XIV. The History of Modern Mathematics
XV. History of Mathematics from Descartes to Huygens. Circ. 1635–1675
XVI. The Life and Works of Newton
XVII. Leibnitz and the Mathematicians of the First Half of the Eighteenth Century
XVIII. Lagrange, Laplace, and their Contemporaries. Circ. 1740–1830
XIX. Mathematics of the Nineteenth Century