Algebraic Symbolism. Christie Epps Abby Krueger Maria Melby Brett Jolly.
Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.
“Every meaningful mathematical statement can also be expressed in plain language. Many plain language statements of mathematical expressions would fill several pages, while to express them in mathematical notation might take as little as one line. One of the ways to achieve this remarkable compression is to use symbols to stand for statements, instructions and so on.”
algebra was written in words without symbols.
algebra which used some shorthand or abbreviations
algebra which used mainly symbols
where Americans use a period
(i.e. 3,14 for 3.14).
Printing press 1445 C.E.
1. Hellenic (6th Century BCE): Pythagoras, Plato, Aristotle
2. Golden Age (5th Century BCE): Hippocrates, Eudoxus
3. Hellenistic (4th Century BCE): School of Alexandria, Euclid, Archimedes, Apollonius, Ptolemy, Pappus
Transmission by 3 routes:
Luca Pacioli (1494)
Stevin’s power notation
“…- is the same as shortage and + is the same as excess.” (Bashmakova)
Nicolas Chuquet (1445-1488): French
Christoff Rudolff (1499-1545): German
Michael Stifle (1487-1567)
Robert Recorde (1510-1558):
“The end of the 16th century marked a crucial turning point in the evolution of algebra, for the first time it found its own language, namely the literal calculus.” (Bashmakova)
Example taken from http://www-history.mcs.st-andrews.ac.uk/history/Mathematicians/Harriot.html
Only change made to his work was the equals sign was different
expert, scientist and astronomer