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] 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.
Carl Gustav Jacob Jacobi was a German mathematician who made fundamental contributions to elliptic functions, dynamics, differential equations, determinants, and number theory.
The multiplication sign, also known as the times sign or the dimension sign, is a mathematical symbol used to denote the operation of multiplication, which results in a product.
The division sign is a mathematical symbol consisting of a short horizontal line with a dot above and another dot below, used in Anglophone countries to indicate the operation of division. This usage, though widespread in some countries, is not universal and the symbol has a different meaning in other countries. Its use to denote division is not recommended in the ISO 80000-2 standard for mathematical notation.
Mathematical notation consists of using symbols for representing operations, unspecified numbers, relations, and any other mathematical objects and assembling them into expressions and formulas. Mathematical notation is widely used in mathematics, science, and engineering for representing complex concepts and properties in a concise, unambiguous, and accurate way.
The year 1631 in science and technology involved some significant events.
The year 1525 in science and technology included many events, some of which are listed here.
A vinculum is a horizontal line used in mathematical notation for various purposes. It may be placed as an overline or underline above or below a mathematical expression to group the expression's elements. Historically, vincula were extensively used to group items together, especially in written mathematics, but in modern mathematics its use for this purpose has almost entirely been replaced by the use of parentheses. It was also used to mark Roman numerals whose values are multiplied by 1,000. Today, however, the common usage of a vinculum to indicate the repetend of a repeating decimal is a significant exception and reflects the original usage.
Johannes Widmann was a German mathematician. The + and - symbols first appeared in print in his book Mercantile Arithmetic or Behende und hüpsche Rechenung auff allen Kauffmanschafft published in Leipzig in 1489 in reference to surpluses and deficits in business problems.
The triple bar or tribar, ≡, is a symbol with multiple, context-dependent meanings indicating equivalence of two different things. Its main uses are in mathematics and logic. It has the appearance of an equals sign ⟨=⟩ with a third line.
Pierre Hérigone (1580–1643) was a French mathematician and astronomer.
Henricus Grammateus was a German mathematician. He was born in Erfurt. In 1507 he started to study at the University of Vienna, where he subsequently taught. Christoph Rudolff was one of his students. From 1514 to 1517 he studied in Kraków and then returned to Vienna. But when the plague affected Vienna Schreiber left the city and went to Nuremberg.
In logical argument and mathematical proof, the therefore sign, ∴, is generally used before a logical consequence, such as the conclusion of a syllogism. The symbol consists of three dots placed in an upright triangle and is read therefore. While it is not generally used in formal writing, it is used in mathematics and shorthand.
Johann Rahn was a Swiss mathematician who is credited with the first use of the division sign, ÷ and the therefore sign, ∴. The symbols were used in Teutsche Algebra, published in 1659. John Pell collaborated with Rahn in this book, which contains an example of the Pell equation. It is uncertain whether Rahn or Pell was responsible for introducing the symbols.
Johann Gottlob Immanuel Breitkopf was a German music publisher and typographer.
In mathematics, the radical symbol, radical sign, root symbol, radix, or surd is a symbol for the square root or higher-order root of a number. The square root of a number x is written as
Georg Heinrich Ferdinand Nesselmann was a German orientalist, a philologist with interests in Baltic languages, and a mathematics historian.
Florian Baucke, also Florian Paucke, Florian Pauke, Spanish: Florián Baucke was a Silesian and Bohemian Jesuit missionary, who recorded the native traditions of South America.
Christoph Scheibler was a German philosopher, classical philologist, Lutheran theologian and metaphysician. He was Professor of Logic and Metaphysics at the University of Giessen from 1610. He was appointed as Superintendent, i.e. Bishop, in 1625.
A History of Mathematical Notations is a book on the history of mathematics and of mathematical notation. It was written by Swiss-American historian of mathematics Florian Cajori (1859–1930), and originally published as a two-volume set by the Open Court Publishing Company in 1928 and 1929, with the subtitles Volume I: Notations in Elementary Mathematics (1928) and Volume II: Notations Mainly in Higher Mathematics (1929). Although Open Court republished it in a second edition in 1974, it was unchanged from the first edition. In 1993, it was published as an 820-page single volume edition by Dover Publications, with its original pagination unchanged.
Heinrich Christoph Koch was a German music theorist, musical lexicographer and composer. In his lifetime, his music dictionary was widely distributed in Germany and Denmark; today his theory of form and syntax is used to analyse music of the 18th and 19th centuries.