A BRIEF HISTORY OF MATHEMATICS - AN AUTHORIZED TRANSLATION OP DR. KARL - FINK'S GESCHICHTE DER ELEMENTAR-MATHEMATIK - DAVID EUGENE SMITH - 1900 - CONTENTS - Translators Preface ...iii Authors Preface...v General Survey ...I I. NUJIBER-SYSTEMS AND NUMBER-SYMBOLS. 6 11. ARITHMETIC. X. General Survey ...n First Period. The Arithmetic of the Oldest Nations to the Time of the Arabs. I. The Arithmetic of Whole Numbers ...24 2. The .Irithmetic of Fractions ...31 3. Applied Arithmetic ...34 C. Second Ieriod. From the Eighth to the Fourteenth Century. I. The Arithmetic of Whole Numbers ...36 2. The Arithmetic of Fractions ...40 3. Applied Arithmetic ...41 I. Third Period. From the Fifteenth to the Nineteenth Century. I. The Arithmetic of Whole Numbers ...41 2. The Arithmetic of Fractions . . 49 3. Applied Arithmetic ...51 111. ALGEBRA. A. General Survey ...61 U. First Period. From the Earliest Times to the Arabs. I. General Zrithmetic ...63 Egyptian Synbolisrn 63. Greek Arithmetic 64 Symbolism 65 Theory of Kullbers 6G Series 67 tle Irrational 68 Keg- 18 xii HISTORY OF MATHEMATICS. PAGE C Second Period. From the Middle Ages to the Middle of the Seventeenth Century ...2 87 Vieta and Regiomontanus 287 Trigonometric Tables 289 Logarithms 290. L. Third Period. From the Middle of the Seventeenth Cen- tury to the Present ...294 Biographical Notes ...29 Index...,...323