Download Amazing Traces of a Babylonian Origin in Greek Mathematics by Joran Friberg PDF

By Joran Friberg

A sequel to unforeseen hyperlinks among Egyptian and Babylonian arithmetic (World medical, 2005), this ebook is predicated at the writer s in depth and floor breaking reviews of the lengthy heritage of Mesopotamian arithmetic, from the past due 4th to the overdue 1st millennium BC. it's argued within the booklet that a number of of the main recognized Greek mathematicians seem to have been accustomed to a variety of features of Babylonian metric algebra, a handy identify for an complicated blend of geometry, metrology, and quadratic equations that's recognized from either Babylonian and pre-Babylonian mathematical clay drugs. The e-book s use of metric algebra diagrams within the Babylonian type, the place the part lengths and parts of geometric figures are explicitly indicated, rather than fully summary lettered diagrams within the Greek variety, is vital for a more robust realizing of many attention-grabbing propositions and structures in Greek mathematical works. the writer s comparisons with Babylonian arithmetic additionally result in new solutions to a few vital open questions within the background of Greek arithmetic

Show description

Read Online or Download Amazing Traces of a Babylonian Origin in Greek Mathematics PDF

Similar history & philosophy books

Scientific Case for Creation

This e-book discusses in a transparent but compelling demeanour the medical facts that helps the biblical account of production.

Mapping Michel Serres (Studies in Literature and Science)

Presents a very useful creation to the paintings of Michel Serres for an English-speaking viewers, in addition to delivering beneficial severe techniques for these already acquainted with its outlines. ---Robert Harrison, Stanford college [blurb from evaluate pending permission]The paintings of Michel Serres---including the books Hermes, The Parasite, The average agreement, Genesis, The Troubadour of data, and Conversations on technological know-how, tradition, and Time---has influenced readers for years, because it demanding situations the bounds of technology, literature, tradition, language, and epistemology.

Ada, a life and a legacy

During this engrossing biography, Dorothy Stein strips away the various layers of fantasy to bare a narrative way more dramatic and engaging than prior debts have indicated

Science after the Practice Turn in the Philosophy, History, and Social Studies of Science

Within the Nineteen Eighties, philosophical, historic and social stories of technology underwent a metamorphosis which later advanced right into a flip to practice. Analysts of technological know-how have been requested to concentrate on medical practices in meticulous aspect and alongside a number of dimensions, together with the fabric, social and mental.

Extra resources for Amazing Traces of a Babylonian Origin in Greek Mathematics

Example text

U = S/2 – sq. s when sq. p + sq. q = S, p = u + s and q = u – s. In LWS (2002), 67-70, Figs. 10-12, Høyrup presents three different possible configurations in terms of squares and rectangles which the OB mathematicians may have used to prove identities like the ones mentioned above. There is, however, a fourth possible, and perhaps more plausible, configuration, which Høyrup did not consider in this connection (but which he did consider elsewhere, op. , 259, Fig. 67). or q s q d d u s p u s s p (sq.

Two possible interpretations of the diagram in El. 3. According to the interpretation in Fig. 3, right, the statement in El. 3 can be reformulated as a quadratic equation of type B4c: p · u – sq. u = A, where A = u · s. Alternatively, the same statement can be reformulated as a rectangularlinear system of equations of type B1a: u · s = A, u + s = p. Therefore, another purpose of El. 3 may have been to demonstrate that any quadratic equation of type B4c: p · u – sq. u = A is equivalent to a rectangular-linear system of equations of type B1a: u · s = A, u + s = p.

M – sq. q and m – q given given given sq. m – sq. q = ? p, m, q = ? p, m, q = ? 1 problem 1 problem 2 values for c 1 problem 1 problem 1 problem Note: In 9b-c it is tacitly assumed that p – q = q – r. In §§ 1-4 of TMS 5, the given values of the coefficient c are allowed to vary in the same way as the given values of the coefficient c in § 5 of BM 80209 (Sec. 10 above), but much more extensively. 11. A Large Old Babylonian Catalog Text of a Similar Kind c s c s c s 1 2 3 4 3" 2' 3' 4 3' 4 1 3" 1 2' 1 3' 14 1 3' 4 2 2' 3 3' 44 30 1 7 27 17 127 7 1/7 7 2 1/7 1 77 277 177 1277 1 11 2 11 35 1 11 11 2 11 11 1 11 7 2 11 7 1 3" 2' 3' 11 7 2 3" 2' 3' 11 7 10 05 4 05 33 35 = 5 · 7 4 05 = 5 · 7 · 7 6 25 55 = 5 · 11 12 50 10 05 = 5 · 11 · 11 6 25 = 5 · 7 · 11 12 50 = 2 · 5 · 7 · 11 55 Probably in order to save space, the values given for c in this text make use of some otherwise undocumented notations for fractions.

Download PDF sample

Rated 4.23 of 5 – based on 43 votes