Christoff Rudolff


Born: 1499 in Jauer, Silesia (now Jawor, Poland)
Died: 1545 in Vienna, Austria


Christoff Rudolff studied algebra at the University of Vienna, between 1517 and 1521. He remained in Vienna after studying at the university and earned his living giving private lessons in mathematics. He did use the facilities offered by the university, being able to use books in the university library and talking with academics at the university.

Rudolff's book Coss, written in 1525, is the first German algebra book. The reason for the title is that cosa is a thing which was used for the unknown. Algebraists were called cossists, and algebra the cossic art, for many years. Rudolff calculated with polynomials with rational and irrational coefficients and was aware that ax2 + b = cx has 2 roots. He used √ for square roots (the first to use this notation) and Rudolff3rt for cube roots and Rudolff4rt for 4 th roots. He has the idea that x0 = 1 which is important.

The year after Coss appeared Rudolff produced Künstliche Rechnung mit der Ziffer und mit den Zahlpfennigen. This studied applications of mathematics to commerce.

Article by: J J O'Connor and E F Robertson

December 1996


MacTutor History of Mathematics
[http://www-history.mcs.st-andrews.ac.uk/Biographies/Rudolff.html]