Greek Roman

A Short History of Greek Mathematics by James Gow

By James Gow

James Gow's a brief background of Greek arithmetic (1884) supplied the 1st complete account of the topic to be had in English, and it this present day is still a transparent and thorough advisor to early mathematics and geometry. starting with the origins of the numerical process and continuing during the theorems of Pythagoras, Euclid, Archimedes and so on, the fast heritage bargains in-depth research and worthwhile translations of person texts in addition to a extensive historic evaluate of the advance of arithmetic. elements I and II quandary Greek mathematics, together with the foundation of alphabetic numerals and the nomenclature for operations; half III constitutes an entire historical past of Greek geometry, from its earliest precursors in Egypt and Babylon via to the options of the Ionic, Sophistic, and educational faculties and their fans. specific realization is given to Pythagorus, Euclid, Archimedes, and Ptolemy, yet a bunch of lesser-known thinkers obtain deserved recognition in addition.

Show description

Read Online or Download A Short History of Greek Mathematics PDF

Best greek & roman books

Plato's Forms in Transition: A Reading of the Parmenides

There's a secret on the middle of Plato's Parmenides. within the first half, Parmenides criticizes what's extensively considered as Plato's mature thought of varieties, and within the moment, he supplies to give an explanation for how the varieties should be stored from those criticisms. Ever because the discussion used to be written, students have struggled to figure out how the 2 elements of the paintings healthy jointly.

Thabit ibn Qurra: Science and Philosophy in Ninth-Century Baghdad (Scientia Graeco-Arabica)

Thabit ibn Qurra (826-901) used to be one in every of historical past? ?s most unique thinkers and displayed services within the such a lot tricky disciplines of this time: geometry, quantity conception, and astronomy in addition to ontology, physics, and metaphysics. nearly a dozen of this shorter mathematical and philosophical writings are accumulated during this quantity.

Protagoras

Lombardo and Bell have translated this crucial early discussion on advantage, knowledge, and the character of Sophistic instructing into an idiom amazing for its liveliness and subtlety. Michael Frede has supplied a considerable advent that illuminates the dialogue's perennial curiosity, its Athenian political heritage, and the actual problems and ironic nuances of its argument.

Greek Theatre Performance: An Introduction

During this ebook, David Wiles introduces historical Greek theater to scholars and fanatics drawn to figuring out how the performs have been played. Theater was once a rite sure up with primary actions in old Athenian lifestyles and Wiles explores these components that created the theater of the time. Actors instead of writers are the book's major challenge and Wiles examines how the actor used the assets of story-telling, dance, masks, track and visible motion to create a large-scale occasion that may form the lifetime of the citizen group.

Extra info for A Short History of Greek Mathematics

Example text

After this, the writer passes to geometry, but he recurs at the end of the book to these algebraical problems and gives about twenty more examples of the same kind. Most of them are simple, but in at least three Cantor sees evidence that Ahmes was acquainted with the theory of arithmetical and geometrical series. The solution which he gives of the second problem above quoted is as follows: 'the difference is 5J : 23, 17J, 12, 6J, 1. ' The series first given amounts only to 60, and each of its terms must be multiplied by If, in order to produce8 the requisite sum 100.

22—26. EGYPTIAN ARITHMETIC. 19 See -=- = 19: divides 19 by 8 and multiplies the quotient ( 2 | ^) by 7 and so finds the desired number 16J £, but he has also various other methods of treating the two sides. For instance, in no. e. of divisions according to different rates of profit. The examples are ' Divide 100 loaves so that 50 go to 6 and 50 to 4 persons,' and ' divide 100 loaves among 5 persons, so that the first 3 get 7 times as much as the other 2. ' After this, the writer passes to geometry, but he recurs at the end of the book to these algebraical problems and gives about twenty more examples of the same kind.

He begins with a series of exercises in reducing fractions, with 2 for numerator, to submultiples. ' Divide 2 by 5' or ' express 2 divided by 7 ' etc. is his mode of stating the proposition and he gives immediately a table of answers, for all fractions 2 of the form ^ =• up to $$. He does not state, however, why he confines himself to 2 as a numerator or how he obtains, in each case, the series of submultiples which he selects. It is possible that numerators higher than 2 were subdivided2, but the second question is the more interesting and has been very carefully discussed8.

Download PDF sample

Rated 4.52 of 5 – based on 9 votes