James Gow's A Short History of Greek Mathematics (1884) provided the first full account of the subject available in English, and it today remains a clear and thorough guide to early arithmetic and geometry. Beginning with the origins of the numerical system and proceeding through the theorems of Pythagoras, Euclid, Archimedes and many others, the Short History offers in-depth analysis and useful translations of individual texts as well as a broad historical overview of the development of mathematics. Parts I and II concern Greek arithmetic, including the origin of alphabetic numerals and the nomenclature for operations; Part III constitutes a complete history of Greek geometry, from its earliest precursors in Egypt and Babylon through to the innovations of the Ionic, Sophistic, and Academic schools and their followers. Particular attention is given to Pythagorus, Euclid, Archimedes, and Ptolemy, but a host of lesser-known thinkers receive deserved attention as well.
Author(s): James Gow
Series: Cambridge Library Collection - Classics
Edition: Reissue
Publisher: Cambridge University Press
Year: 2010
Language: English
Pages: 344
Tags: Математика;История математики;
PREFACE......Page 10
ADDENDA......Page 14
TABLE OF CONTENTS......Page 16
AN ALPHABETICAL LIST OF
THE CHIEF GREEK MATHEMATICIANS
WITH THEIE APPBOXIMATE DATES......Page 20
PART I. PROLEGOMENA TO ARITHMETIC......Page 21
CHAPTER I.THE DECIMAL SCALE.......Page 22
CHAPTER II.
EGYPTIAN ARITHMETIC......Page 36
CHAPTER III. GREEK CALCULATION. Logistica......Page 43
CHAPTER IV. GREEK THEORY OF NUMBERS. Arithmetica......Page 87
CHAPTER V. PRE-HISTORIC AND EGYPTIAN GEOMETRY......Page 144
CHAPTER VI. GREEK GEOMETRY TO EUCLID......Page 155
CHAPTER VII.
EUCLID, ARCHIMEDES AND APOLLONIUS......Page 213
CHAPTER VIII,
THE SECOND CENTUBY B.C.......Page 286
CHAPTER IX.
FEOM GEMINUS TO PTOLEMY (B.C. 70—A.D. 150).......Page 308
CHAPTER X.
LAST YEARS......Page 323
INDEX......Page 338
