Schottky, Friedrich Hermann
SCHOTTKY, FRIEDRICH HERMANN
(b. Breslau, Germany [now Wrochaw, Poland], 24 July 1851: d. Berlin, Germany, 12 August 1935)
After attending the Humanistisches Gymnasium St. Magdalenen in Breslau, Schottky studied mathematics and physics at Breslau University from 1870 to 1874 and continued his studies at Berlin with Weierstrass and Helmholtz. He received the Ph. D. in 1875, was admitted as a Privatdozent at Berlin in 1878, and in 1882 was appointed a professor at Zurich—at the university, according to one source, and at the Eidgenössische Technische Hochschule, according to another. In 1892 Schottky was appointed to a chair at Marburg University and in 1902 to one at Berlin, where he remained until 1922. In 1902 he was elected a fellow of the Preussische Akademie der Wissenschaften and, in 1911, a corresponding member of the Akademie der Wissenschaften in Göttingen.
Schottky’s thesis [1,3] was an important contribution to the conformal mapping of multiply connected plane domains and was the origin of the famous mapping of a domain bounded by three disjoint circles, which, continued by mirror images, provides an example of an automorphic function with a Cantor set boundary. The dissertation also dealt with the conformal mapping of domains bounded by circular and conic arcs.
A contribution to the realm of Picard’s theorem, known as Schottky’s theorem , is an absolute estimation C(f(0).│z│ for functions f(z) defined in │z│<1 and omitting the values 0.1. Schottky also initiated the study of the oscillation, at the boundary, of regular functions defined in the unit circle .
The greater part of Schottky’s work concerned elliptic, Abelian, and theta functins, a subject on which he wrote a book . He published some fifty-five papers, most of them in Journal für die reine und angewandte Mathematik, Mathematische Annalen, an Sitzungsberichte der Preussischen Akademie der Wissenschaften zu Berlin. His work is difficult to read. Although he was a student of Weierstrass, his approach to function theory was Riemannian in spirit, combined with Weierstrassian rigor.
I. Original Works. Schottky’s writings include  “Ueber die conforme Abbildung mehrfach zusam-menhängender ebener Flächen,” in Journal für die reine und angewandte Mathematik, 83 (1877), 300–351, his dissertation;  Abriss einer Theorie der Abel’schen Functionen von drei Variablen (Leipzig, 1880):  “Ueber eine specielle Function, welche bei einer bestimmten linearen Transformation ihres Arguments unverändert bleibt,” in Journal für die reine und angewandte Mathematik, 101 (1887), 227–272;  “Ueber die Werteschwankungen der harmonischen Functionen,” ibid., 117 (1897), 225–253;  “Ueber den Picardschen Satz und die Borelschen Ungleichungen,” in Sitzungsberichte der Preussischen Akademie der Wissenschaften zu Berlin (1904), 1244–1262; and “Bemerkungen zu meiner Mitteilung... ,” ibid. (1906), 32–36.
II. Secondary Literature. See  L. Bieberbach, “Friedrich Schottky zum 80. Geburtstage,” in Forschungen und Fortschritte, 7 (1931), 300; and  “Gedächtnisrede auf Friedrich Schottky,” in Sitzungsberichte der Preussischen Akademie der Wissenschaften zu Berlin, Math-phys. K1. (1936), cv-cvi; and the  obituary in Nachrichten von der Gesellschaft der Wissenschaften zu Göttingen (1935–1936), 6–7.
Portraits of Schottky are in Acta mathematica 1882–1913, Table générale des tomes 1–35 (Uppsala, 1913), 168: and Journal für die reine und angewandte Mathematik165 (1931), frontispiece.
"Schottky, Friedrich Hermann." Complete Dictionary of Scientific Biography. . Encyclopedia.com. (January 20, 2019). https://www.encyclopedia.com/science/dictionaries-thesauruses-pictures-and-press-releases/schottky-friedrich-hermann
"Schottky, Friedrich Hermann." Complete Dictionary of Scientific Biography. . Retrieved January 20, 2019 from Encyclopedia.com: https://www.encyclopedia.com/science/dictionaries-thesauruses-pictures-and-press-releases/schottky-friedrich-hermann
Encyclopedia.com gives you the ability to cite reference entries and articles according to common styles from the Modern Language Association (MLA), The Chicago Manual of Style, and the American Psychological Association (APA).
Within the “Cite this article” tool, pick a style to see how all available information looks when formatted according to that style. Then, copy and paste the text into your bibliography or works cited list.
Because each style has its own formatting nuances that evolve over time and not all information is available for every reference entry or article, Encyclopedia.com cannot guarantee each citation it generates. Therefore, it’s best to use Encyclopedia.com citations as a starting point before checking the style against your school or publication’s requirements and the most-recent information available at these sites:
Modern Language Association
The Chicago Manual of Style
American Psychological Association
- Most online reference entries and articles do not have page numbers. Therefore, that information is unavailable for most Encyclopedia.com content. However, the date of retrieval is often important. Refer to each style’s convention regarding the best way to format page numbers and retrieval dates.
- In addition to the MLA, Chicago, and APA styles, your school, university, publication, or institution may have its own requirements for citations. Therefore, be sure to refer to those guidelines when editing your bibliography or works cited list.