By James Gow
James Gow's a quick historical past of Greek arithmetic (1884) supplied the 1st complete account of the topic to be had in English, and it at the present time continues to be a transparent and thorough consultant to early mathematics and geometry. starting with the origins of the numerical procedure and continuing during the theorems of Pythagoras, Euclid, Archimedes etc, the fast heritage deals in-depth research and important translations of person texts in addition to a vast historic evaluation of the advance of arithmetic. elements I and II main issue Greek mathematics, together with the starting place of alphabetic numerals and the nomenclature for operations; half III constitutes a whole background of Greek geometry, from its earliest precursors in Egypt and Babylon via to the concepts of the Ionic, Sophistic, and educational colleges and their fans. specific recognition is given to Pythagorus, Euclid, Archimedes, and Ptolemy, yet a bunch of lesser-known thinkers obtain deserved realization in addition.
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Extra info for A Short History of Greek Mathematics
GREEK CALCULATION. 33 Logistica. as the case may be, and the buttons would be successively altered so as to represent the sum or remainder. Multiplication can only have been performed by repeated additions, and division by repeated subtractions \ 24. It will be seen that the types of abacus now known are not very diverse from one another, and there is no cause to be greatly distressed by our ignorance of what the Greek dfiai; was. A certain table, however, which may be an aftai;, was discovered in 1846 in the island of Salamis and this, which can be partly explained by reference to the Roman instruments, must serve to assure us that there cannot have been any great superiority in the Greek a/3a£ at any time.
174 b. Pliny, Hist. Nat. xxxiv. s. 33. For other reff. see Prof. Mayor's note on Juv. x. 249, above referred to, or Dean Peacock's article Arithmetic in Encycl. Metropolitana. 3 Erasmus, in his ed. of Jerome (m. 25 B c) published in 1516, confessed his ignorance of the finger-symbolism referred to by the saint. He under- stood it afterwards (see ibid. p. 313). 8 The Persian system mentioned by De Saoy and Tylor (see note above) is used only in secret, when for instance a dragoman wishes to have one price with the seller and the other with his master.
A Short History of Greek Mathematics by James Gow