The HinduArabic Numerals, by David Eugene Smith and Louis Charles pot

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The HinduArabic Numerals, by David Eugene Smith and Louis Charles pot

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[...]... you tearme it, and so doo they reade And that may appeare in all Hebrewe, Chaldaye and Arabike bookes where as the Greekes, Latines, and all nations of Europe, do wryte and reade from the lefte hand towarde the ryghte."[3] Others, and among them such influential writers as Tartaglia[4] in Italy and Köbel[5] in Germany, asserted the Arabic origin of the numerals, while still others left the matter undecided[6]... dismissed them as "barbaric."[7] Of course the Arabs themselves never laid claim to the invention, always recognizing their indebtedness to the Hindus both for the numeral forms and for the distinguishing feature of place value Foremost among these writers was the great master of the golden age of Bagdad, one of the first of the Arab writers to collect the mathematical classics of both the East and the West,... to the Egyptians, but more often to the early trading Phœnicians.[1] The idea that our common numerals are Arabic in origin is not an old one The mediæval and Renaissance writers generally recognized them as Indian, and many of them expressly stated that they were of Hindu origin.[2] Others argued that they were probably invented by the Chaldeans or the Jews because they increased in value from right... many systems in use just before the Christian era As it then existed the system was no better than many others, it was of late origin, it contained no zero, it was cumbersome and little used, and it had no particular promise Not until centuries later did the system have any standing in the world of business and science; and had the place value which now characterizes it, and which requires a zero, been... ORIENTAL NAMES vi I EARLY IDEAS OF THEIR ORIGIN 1 II EARLY HINDU FORMS WITH NO PLACE VALUE 12 III LATER HINDU FORMS, WITH A PLACE VALUE 38 IV THE SYMBOL ZERO 51 V THE QUESTION OF THE INTRODUCTION OF THE NUMERALS INTO EUROPE BY BOETHIUS 63 VI THE DEVELOPMENT OF THE NUMERALS AMONG THE ARABS 91 VII THE DEFINITE INTRODUCTION OF THE NUMERALS INTO EUROPE 99 VIII THE SPREAD OF THE NUMERALS IN EUROPE 128 INDEX... preserving them and finally passing them on to awakening Europe This man was Moḥammed the Son of Moses, from Khowārezm, or, more after the manner of the Arab, Moḥammed ibn Mūsā al-Khowārazmī,[8] a man of great learning and one to whom the world is much indebted for its present knowledge of algebra[9] and of arithmetic Of him there will often be occasion to speak; and in the arithmetic which he wrote, and. .. made the translation or [11] he stated distinctly that the paraphrase, numerals were due to the Hindus.[12] This is as plainly asserted by later Arab writers, even to the present day [13] Indeed the phrase 'ilm hindī, "Indian science," is used by them for arithmetic, as also the adjective hindī alone.[14] Probably the most striking testimony from Arabic sources is that given by the Arabic traveler and. .. Persians, the Hindus, and the Romans Touching the period of the Caliphs his work entitled Meadows of Gold furnishes a most entertaining fund of information He states[22] that the wise men of India, assembled by the king, composed the Sindhind Further on[23] he states, upon the authority of the historian Moḥammed ibn 'Alī 'Abdī, that by order of Al-Manṣūr many works of science and astrology were translated... Arabic, notably the Sindhind (Siddhānta) Concerning the meaning and spelling of this name there is considerable diversity of opinion Colebrooke[24] first pointed out the connection between Siddhānta and Sindhind He ascribes to the word the meaning "the revolving ages."[25] Similar designations are collected by Sédillot,[26] who inclined to the Greek origin of the sciences commonly attributed to the Hindus.[27]... Hindus.[27] Casiri,[28] citing the Tārīkh alḥokamā or Chronicles of the Learned,[29] refers to the work as the Sindum-Indum with the meaning "perpetuum [30] in this æternumque." The reference ancient Arabic work to Al-Khowārazmī is worthy of note T h i s Sindhind is the book, says Mas'ūdī,[31] which gives all that the Hindus know of the spheres, the stars, arithmetic,[32] and the other branches of science . unaccented version. THE HINDU-ARABIC NUMERALS BY DAVID EUGENE SMITH AND LOUIS CHARLES KARPINSKI BOSTON AND LONDON GINN AND COMPANY, PUBLISHERS 1911 COPYRIGHT, 1911, BY DAVID EUGENE SMITH AND LOUIS CHARLES KARPINSKI ALL. h0" alt="" The Project Gutenberg EBook of The Hindu- Arabic Numerals, by David Eugene Smith and Louis Charles Karpinski This eBook is for the use of anyone anywhere at no cost and with almost. this struggle. To the mathematician and the student of civilization the interest is generally a deep one; to the teacher of the elements of knowledge the interest may be less marked, but nevertheless it

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  • THE

  • HINDU-ARABIC NUMERALS

    • PREFACE

    • CONTENTS

    • PRONUNCIATION OF ORIENTAL NAMES

    • THE HINDU-ARABIC NUMERALS

      • CHAPTER I

      • CHAPTER II

      • Table showing the Progress of Number Forms in India

      • Table of Certain Eastern Systems

      • CHAPTER III

      • Numerals used with Place Value

      • CHAPTER IV

      • CHAPTER V

      • Forms of the Numerals, Largely from Works on the Abacus[351]

      • CHAPTER VI

      • CHAPTER VII

      • CHAPTER VIII

      • Earliest Manuscript Forms

      • Early Manuscript Forms

      • INDEX

      • ANNOUNCEMENTS

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