Christoph Rudolff

Christoph Rudolff (born 1499 in Jawor, Silesia, died 1545 in Vienna) was a German mathematician, the author of the first German textbook on algebra.

From 1517 to 1521, Rudolff was a student of Henricus Grammateus (Schreyber from Erfurt) at the University of Vienna and was the author of a book computing, under the title: Behend und hübsch Rechnung durch die kunstreichen regeln Algebre so gemeinicklich die Coss genent werden (Nimble and beautiful calculation via the artful rules of algebra [which] are so commonly called "coss"). ^[2]

He introduced the radical symbol (√) for the square root. It is believed that this was because it resembled a lowercase "r" (for "radix"), ^{[3] [4]} though there is no direct evidence. ^[5] Florian Cajori only says that a "dot is the embryo of our present symbol for the square root" ^[6] though it is 'possible, perhaps probable' that Rudolff's later symbols are not dots but 'r's. ^[7]

Furthermore, he used the meaningful definition that  x⁰ = 1.

See also

• History of mathematical notation

Notes

1. Rudolff, Christoff (1525). Behend vnnd Hübsch Rechnung durch die kunstreichen regeln Algebra, so gemeimblich die Coß genannt werden ... (in German). Cephaleus.
2. Note: "Influenced by al-Khowarizmi and later Islamic writers who called the unknown [i.e., the variable x] shai, Arabic for "thing", Latin texts used res and those in Italian used cosa ("thing"). In Italy, algebra became known as l'arte della cosa, in England as cossike arte, or the rule of coss, and in Germany, die Coss." Jan Gullberg, Mathematics: From the Birth of Numbers (New York, New York: W.W. Norton, 1997), page 299.
3. Walter William Rouse Ball (1960), A short account of the history of mathematics (4 ed.), Courier Dover Publications, p. 215, ISBN   978-0-486-20630-1
4. Howard Whitley Eves (1983), Great moments in mathematics (before 1650: Volume 1), MAA, p. 131, ISBN   978-0-88385-310-8
5. ""History of Mathematical Symbols" by Douglas Weaver and Anthony D. Smith, University of South Australia". Archived from the original on 2006-04-07. Retrieved 2010-04-18.
6. Florian Cajori (1919), A history of mathematics (2 ed.), The Macmillan Company, p. 140
7. Florian Cajori (1993), A history of mathematical notations, Volumes 1-2 (reprint ed.), Courier Dover Publications, p. 369, ISBN   978-0-486-67766-8

References

• Wolfgang Kaunzner; Karl Röttel; Christoff Rudolff (2006). Christoff Rudolff aus Jauer in Schlesien: zum 500. Geburtstag eines bedeutenden Cossisten und Arithmetikers, der aus diesem seinerzeit hoheitlich zur Krone von Böhmen gehörenden Landesteil stammt[Christoff Rudolff from Jauer in Silesia: on the 500th birthday of an important algebraist and arithmetician, who came from this region, which in his time belonged to the royal crown of Bohemia]. Polygon-Verlag. ISBN   978-3-928671-39-2.
• Moritz Cantor (1889). "Rudolff: Christoff R.". Allgemeine Deutsche Biographie (in German). Vol. 29. Leipzig: Duncker & Humblot. pp. 571–572.
• Wolfgang Kaunzner (2005). "Rudolff, Christoff". Neue Deutsche Biographie (in German). Vol. 22. Berlin: Duncker & Humblot. p. 198.
• O'Connor, John J.; Robertson, Edmund F., "Christoph Rudolff", MacTutor History of Mathematics Archive , University of St Andrews

External links

• Die Coss Christoffs Rudolffs