A Short Account of the History of Mathematics

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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