This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.View Full Document
Unformatted text preview: Declarative Programming Languages Jim Royer EECS January 19, 2010 Jim Royer (EECS) Declarative Programming Languages January 19, 2010 1 / 10 A Historical Digression Algebra is largely an Arabic/Persian invention. I Muhammed ibn-Musa al-Khwarizmi – 9 th century AD I “completing the square” I “solving quadratic equations” ( ax 2 + bx + c ) Jim Royer (EECS) Declarative Programming Languages January 19, 2010 2 / 10 A Historical Digression, Continued The Renaissance Italians built on the Arabic work. I Motivated by financial and commercial problems I General solutions to cubic and quartic equations I But what did their equations look like . . . Gerolamo Cardano 1501 – 1576 Jim Royer (EECS) Declarative Programming Languages January 19, 2010 3 / 10 Cardano’s Rhetorical Algebra (circa 1550) Solve: Let a cube and six times its side equal 20. x 3 + 6 x = 20 A Solution: Cube one third the num- ber of sides (i.e., the coef. of x) . Add to it the square of one-half the constant of the equation and take the square root of the whole. You will put this twice, and to thewhole....
View Full Document
This note was uploaded on 03/09/2010 for the course CIS CIS252 taught by Professor Jimroyer during the Spring '10 term at Syracuse.
- Spring '10