Weierstrass
Proper noun
Meaning
Weierstrass (plural Weierstrasses)
A surname.
Phrases with the word
Examples
19th century: Gauss, Weierstrass and Legendre The first page of Euler's paper Carl Friedrich Gauss rewrote Euler's product as : and used this formula to discover new properties of the gamma function.
Existence The extreme value theorem of Karl Weierstrass states that a continuous real-valued function on a compact set attains its maximum and minimum value.
In 1881 he left for the University of Vienna to complete his mathematics studies under the supervision of Leo Königsberger (a former student of Weierstrass).
In his work Weierstrass formalized the concept of limit and eliminated infinitesimals.
Following the work of Weierstrass, it eventually became common to base calculus on limits instead of infinitesimal quantities, though the subject is still occasionally called "infinitesimal calculus".
General criteria began with Kummer (1835), and have been studied by Eisenstein (1847), Weierstrass in his various contributions to the theory of functions, Dini (1867), DuBois-Reymond (1873), and many others.