Results 1 – 8 of 8 Arithmetica integra [Reprint] () by Michael Stifel and a great selection of related books, art and collectibles available now at Title, Arithmetica integra. Author, Michael Stifel. Publisher, apud Iohan Petreium, Original from, the Complutense University of Madrid. Digitized, Jun 0 ReviewsWrite review .html?id=fndPsRv08R0C. Arithmetica integra. By Michael Stifel. About this book.
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Michael Stifel or Styfel — April 19, was a German monk, Protestant reformer and mathematician. He was an Augustinian who became an early supporter of Martin Luther.
He was later appointed professor of mathematics at Jena University. Stifel was born in Esslingen am Neckar. He joined the Order of Saint Augustine and was ordained a priest in Stifel then left for Frankfurtand soon went to Mansfeldwhere he began his mathematical studies.
At this time Stifel started writing a book collecting letter transcripts of Martin Luther. It was completed in Luther also confirmed the marriage of Michael Stifel and the widow of his predecessor in the ministry. Michael Stifel was fascinated regarding the properties and possibilities qrithmetica numbers.
Arithmetica integra /, by Michael Stifel et al. | The Online Books Page
At Lochau he had the opportunity to do mathematical studies on number theory and numerology. He also performed the so-called “Wortrechnung” i. A Revelation in the Revelation. This predicted that Judgement Day the world would end at 8am on October 19, The German saying “to talk a Stiefel” or “to calculate a Stiefel” Stiefel is the German word for boot meaning to say or calculate something based on an unusual track can be intrgra back to this incident. In he became minister in Holzdorf near Wittenberg and stayed there for 12 years.
Stifel now continued with serious mathematical studies.
Worth mentioning were “the Coss” the first algebra book written in German of Christoph Rudolffwhich he did in self study and “the Elements” of Euclid in the Latin edition by Campanus of Arithmetkca. A proposal of Jacob Milichwho supported his scientific development. Milich encouraged Michael Stifel to write a comprehensive work on arithmetic arithmeticz algebra.
In Stifel became first professor of mathematics at the new founded University of Jena. Stifel’s most important work Arithmetica integra contained important innovations in mathematical notation. It has the first use of multiplication by juxtaposition with no symbol between the terms in Europe. He is the first to arithmetic the term ” exponent ” and also included the following rules for calculating powers: Stifel explicitly points out, that multiplication and division operations in the lower geometric series can be mapped by addition and subtraction in the upper arithmetic series.
Arithmetica integra – Michael Stifel – Google Books
On the following pagehe shows examples also using negative exponents. He also realized that this would create a lot of work.
So he wrote, that regarding this issue marvelous books could be written, but he himself will refrain and keep his eyes shut.
Stifel was the first, who had a standard method to solve quadratic equations. He was able to reduce the different cases known to one case, because he uses both, positive and negative coefficients. Stifel, however avoided to show the negative results. Another topic dealt with in the Arithmetica integra are negative numbers which Stifel calls numeri absurdi.
Negative numbers were refused and considered as preposterous by the authorities at that time. Stifel however, used negative numbers equal to arifhmetica other numbers. He also discussed the properties of irrational numbers and if the irrationals are real arithmeetica, or only fictitious AI page Stifel found them very useful for mathematics, and not dispensable. Further issues were a method of calculating roots of higher order by using binomial coefficients  and sequences.
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Arithmetica integra. Authore Michaele Stifelio. Cum praefatione Philippi Melanchthonis
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April 19, Jena. Arithmetica integra containing an early version of logarithms. Wikimedia Commons has media related to Michael Stifel.