Karl Theodor Wilhelm Weierstrass (German: Weierstraß[ˈvaɪɐʃtʁaːs];[1] 31 October 1815 – 19 February 1897) was a German mathematician often cited as the "father of modern analysis". Despite leaving university without a degree, he studied mathematics and trained as a school teacher, eventually teaching mathematics, physics, botany and gymnastics.[2] He later received an honorary doctorate and became professor of mathematics in Berlin.
Among many other contributions, Weierstrass formalized the definition of the continuity of a function and complex analysis, proved the intermediate value theorem and the Bolzano–Weierstrass theorem, and used the latter to study the properties of continuous functions on closed bounded intervals.
^Duden. Das Aussprachewörterbuch. 7. Auflage. Bibliographisches Institut, Berlin 2015, ISBN 978-3-411-04067-4
^Weierstrass, Karl Theodor Wilhelm. (2018). In Helicon (Ed.), The Hutchinson unabridged encyclopedia with atlas and weather guide. [Online]. Abington: Helicon. Available from: http://libezproxy.open.ac.uk/login?url= Link Accessed 8 July 2018.
Karl Theodor Wilhelm Weierstrass (German: Weierstraß [ˈvaɪɐʃtʁaːs]; 31 October 1815 – 19 February 1897) was a German mathematician often cited as the "father...
example of a fractal curve. It is named after its discoverer KarlWeierstrass. The Weierstrass function has historically served the role of a pathological...
after KarlWeierstrass. These include: The Weierstrass approximation theorem, of which one well known generalization is the Stone–Weierstrass theorem...
the Weierstrass functions are special functions of a complex variable that are auxiliary to the Weierstrass elliptic function. They are named for Karl Weierstrass...
mathematics, the Weierstrass elliptic functions are elliptic functions that take a particularly simple form. They are named for KarlWeierstrass. This class...
In mathematics, the Weierstrass transform of a function f : R → R, named after KarlWeierstrass, is a "smoothed" version of f(x) obtained by averaging...
linear factors, one for each root. The theorem, which is named for KarlWeierstrass, is closely related to a second result that every sequence tending...
theorem is used to prove Rolle's theorem. In a formulation due to KarlWeierstrass, this theorem states that a continuous function from a non-empty compact...
the connection between the gamma function and elliptic integrals. KarlWeierstrass further established the role of the gamma function in complex analysis...
named after and first published by Pierre Alphonse Laurent in 1843. KarlWeierstrass may have discovered it first in a paper written in 1841, but it was...
century by the seminal work of Bernard Bolzano, Bernhard Riemann, and KarlWeierstrass, and on to the coining of the word fractal in the 20th century with...
and the concept of uniform convergence, and for being the teacher of KarlWeierstrass, who was greatly influenced by Gudermann's course on elliptic functions...
Kronecker, Kummer, and KarlWeierstrass. He received his doctorate (awarded with distinction) in 1870 supervised by Weierstrass. His thesis was on the...
at the University of Münster and later wrote his dissertation under KarlWeierstrass and Ernst Kummer at Berlin in 1872. He taught in gymnasia (secondary...
received his Ph.D. in mathematics at Berlin, where he studied under KarlWeierstrass. In 1886, he became a professor at the Technische Hochschule Hannover...
Weber Werner Weber Katrin Wehrheim Dieter Weichert Joachim Weickert KarlWeierstrass Erhard Weigel Julius Weingarten Michael Weiss Paul Weiss Ernst August...
contemporary philosophy and beyond. Husserl studied mathematics, taught by KarlWeierstrass and Leo Königsberger, and philosophy taught by Franz Brentano and Carl...
instances of faulty reasoning. The concept, which was first formalized by KarlWeierstrass, is important because several properties of the functions f n {\displaystyle...
physicists Hermann von Helmholtz and Gustav Kirchhoff and mathematician KarlWeierstrass. He wrote that Helmholtz was never quite prepared, spoke slowly, miscalculated...
gamma function. KarlWeierstrass called the reciprocal gamma function the "factorielle" and used it in his development of the Weierstrass factorization...
Kovalevskaya moved to Berlin, where she began to take private lessons with KarlWeierstrass, since the university would not allow her even to audit classes. He...
the University of Berlin, attending lectures by Leopold Kronecker, KarlWeierstrass and Ernst Kummer. He spent the summer of 1866 at the University of...
Global Information