Carl Johannes Thomae
Encyclopedia
Carl Johannes Thomae (sometimes called "Johannes Thomae", "Karl Johannes Thomae", or "Johannes Karl Thomae") was a German
mathematician
.
in the proximity of his native city Laucha an der Unstrut. Their son Walter Thomae was born one year later on 5 November 1875, but Thomae's wife died 5 days after giving birth. In 1879 Thomae became ordentliche professor at the University of Jena. In 1892 he married his second wife Sophie Pröpper in Jena. One year later was born Susanne Thomae. In 1914 Thomae, at that time dean of the philosophical faculty at the University of Jena, retired. In 1921 he died in Jena after a short illness. Carl Johannes Thomae's research was concerned with function theory
and with what German-speaking mathematicians often call "Epsilontik", the precise development of analysis, differential geometry, and topology using epsilon-neighborhoods in the style of Weierstrass
. The Thomae function, the Thomae transformation formula (aka, Thomae's transformation and Thomae's theorem), the Thomae formula for hyperelliptic curves, and the Sears–Thomae transformation formula are named after him. He called himself Riemann
's student, although he never attended a lecture by Riemann.
Germany
Germany , officially the Federal Republic of Germany , is a federal parliamentary republic in Europe. The country consists of 16 states while the capital and largest city is Berlin. Germany covers an area of 357,021 km2 and has a largely temperate seasonal climate...
mathematician
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....
.
Biography
Thomae, son of Karl August Thomae (head master) and Emilie Gutsmuths, grew up in Laucha an der Unstrut and in 1864 attained a doctorate. In 1866 Thomae attained the habilitation qualification at the University of Göttingen and one year later in the year 1867 at the University of Halle. In the year 1874 Thomae married Anna Uhde in BalgstädtBalgstädt
Balgstädt is a municipality in the Burgenlandkreis district, in Saxony-Anhalt, Germany....
in the proximity of his native city Laucha an der Unstrut. Their son Walter Thomae was born one year later on 5 November 1875, but Thomae's wife died 5 days after giving birth. In 1879 Thomae became ordentliche professor at the University of Jena. In 1892 he married his second wife Sophie Pröpper in Jena. One year later was born Susanne Thomae. In 1914 Thomae, at that time dean of the philosophical faculty at the University of Jena, retired. In 1921 he died in Jena after a short illness. Carl Johannes Thomae's research was concerned with function theory
Complex analysis
Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates functions of complex numbers. It is useful in many branches of mathematics, including number theory and applied mathematics; as well as in physics,...
and with what German-speaking mathematicians often call "Epsilontik", the precise development of analysis, differential geometry, and topology using epsilon-neighborhoods in the style of Weierstrass
Karl Weierstrass
Karl Theodor Wilhelm Weierstrass was a German mathematician who is often cited as the "father of modern analysis".- Biography :Weierstrass was born in Ostenfelde, part of Ennigerloh, Province of Westphalia....
. The Thomae function, the Thomae transformation formula (aka, Thomae's transformation and Thomae's theorem), the Thomae formula for hyperelliptic curves, and the Sears–Thomae transformation formula are named after him. He called himself Riemann
Bernhard Riemann
Georg Friedrich Bernhard Riemann was an influential German mathematician who made lasting contributions to analysis and differential geometry, some of them enabling the later development of general relativity....
's student, although he never attended a lecture by Riemann.
Works
- Beitrag zur Bestimmung von δ(0,0,...0) durch die Klassenmoduln algebraischer Funktionen. In: Journal für die reine und angewandte Mathematik 71, 1870, S. 201–222, online.
- Elementare Theorie der analytischen Funktionen einer komplexen Veränderlichen. Nebert, Halle (Saale) 1880.