A Short Account of the History of Mathematics

Preface......Page 4
Note......Page 6
Table of Contents......Page 7
I. Egyptian and Phoenician Mathematics......Page 20
FIRST PERIOD---Mathematics Under Greek Influence......Page 28
II. The Ionian and Pythagorean Schools......Page 29
III. The Schools of Athens and Cyzicus......Page 46
IV. The First Alexandrian School......Page 60
V. The Second Alexandrian School......Page 97
VI. The Byzantine School......Page 116
VII. Systems of Numeration and Primitive Arithmetic......Page 120
SECOND PERIOD---Mathematics of the Middle Ages and Renaissance......Page 127
VIII. The Rise of Learning in Western Europe......Page 128
IX. The Mathematics of the Arabs......Page 139
X. The Introduction of Arab Works into Europe......Page 155
XI. The Development of Arithmetic......Page 170
XII. The Mathematics of the Renaissance......Page 184
XIII. The Close of the Renaissance......Page 221
THIRD PERIOD---Modern Mathematics......Page 235
XIV. The History of Modern Mathematics......Page 236
XV. History of Mathematics from Descartes to Huygens......Page 240
XVI. The Life and Works of Newton......Page 282
XVII. Leibnitz and the Mathematicians of the First Half of the Eighteenth Century......Page 310
XVIII. Lagrange, Laplace, and their Contemporaries......Page 341
XIX. Mathematics of the Nineteenth Century......Page 384
INDEX......Page 429