Karl Weierstrass
Scientists

Karl Weierstrass Net Worth

Karl Weierstrass was a German mathematician who is widely regarded as the "father of modern analysis". Despite leaving the University of Bonn without completing his degree, he continued his studies at the University of Munster and became a teacher of mathematics, physics, botany and gymnastics. He is credited with introducing the modern analysis theory, along with Augustine Cauchy, and providing detailed definitions of fundamental concepts such as differentiability, limit, continuity and convergence. His greatest success came in 1854 with the publication of a paper providing the solution of inversion of hyper elliptic integrals. He also helped devise the Weierstrass-Erdman condition, which gives sufficient conditions for an extreme to have a corner along a given extreme, as well as allows one to find a minimizing curve for a given integral.
Karl Weierstrass is a member of Scientists

Age, Biography and Wiki

Who is it? Mathematician
Birth Day October 31, 1815
Birth Place Ennigerloh, German
Age 204 YEARS OLD
Died On 19 February 1897(1897-02-19) (aged 81)\nBerlin, Province of Brandenburg, Kingdom of Prussia
Birth Sign Scorpio
Residence Germany
Alma mater University of Bonn Münster Academy
Known for Weierstrass function (ε, δ)-definition of limit Weierstrass–Erdmann condition Weierstrass theorems Bolzano–Weierstrass theorem
Awards PhD (Hon): University of Königsberg (1854) Copley Medal (1895)
Fields Mathematics
Institutions Gewerbeinstitut
Academic advisors Christoph Gudermann
Doctoral students Nikolai Bugaev Georg Cantor Georg Frobenius Lazarus Fuchs Wilhelm Killing Leo Königsberger Sofia Kovalevskaya Mathias Lerch Hans von Mangoldt Eugen Netto Adolf Piltz Carl Runge Arthur Schoenflies Friedrich Schottky Hermann Schwarz Ludwig Stickelberger Ernst Kötter

💰 Net worth

Karl Weierstrass was a renowned German mathematician, known for his significant contributions to the field. Although a precise estimate of his net worth remains elusive, it is anticipated to range between $100,000 and $1 million by 2024. Having revolutionized mathematical analysis with his groundbreaking theorems, Weierstrass' impact on the discipline is immeasurable. His name resonates prominently in the annals of mathematics, elevating him to the status of an esteemed figure within the academic community.

Biography/Timeline

1817

Weierstrass was interested in the soundness of calculus, and at the time, there were somewhat ambiguous definitions regarding the foundations of calculus, and hence important theorems could not be proven with sufficient rigour. While Bolzano had developed a reasonably rigorous definition of a limit as early as 1817 (and possibly even earlier) his work remained unknown to most of the mathematical community until years later, and many mathematicians had only vague definitions of limits and continuity of functions.

1820

Delta-epsilon proofs are first found in the works of Cauchy in the 1820s. Cauchy did not clearly distinguish between continuity and uniform continuity on an interval. Notably, in his 1821 Cours d'analyse, Cauchy argued that the (pointwise) limit of (pointwise) continuous functions was itself (pointwise) continuous, a statement interpreted as being incorrect by many scholars. The correct statement is rather that the uniform limit of continuous functions is continuous (also, the uniform limit of uniformly continuous functions is uniformly continuous). This required the concept of uniform convergence, which was first observed by Weierstrass's advisor, Christoph Gudermann, in an 1838 paper, where Gudermann noted the phenomenon but did not define it or elaborate on it. Weierstrass saw the importance of the concept, and both formalized it and applied it widely throughout the foundations of calculus.

1843

In 1843 he taught in Deutsch Krone in West Prussia and since 1848 he taught at the Lyceum Hosianum in Braunsberg. Besides mathematics he also taught physics, botany, and gymnastics.

1854

After 1850 Weierstrass suffered from a long period of illness, but was able to publish papers that brought him fame and distinction. The University of Königsberg conferred an honorary doctor's degree on him on 31 March 1854. In 1856 he took a chair at the Gewerbeinstitut, which later became the Technical University of Berlin. In 1864 he became professor at the Friedrich-Wilhelms-Universität Berlin, which later became the Humboldt Universität zu Berlin.

1891

At the age of fifty-five, Weierstrass met Sonya Kovalevsky whom he tutored privately after failing to secure her admission to the University. They had a fruitful intellectual, but troubled personal relationship that "far transcended the usual teacher-student relationship". The misinterpretation of this relationship and Kovalevsky's early death in 1891 was said to have contributed to Weierstrass' later ill-health. He was immobile for the last three years of his life, and died in Berlin from pneumonia.

1998

is continuous at if such that for every in the domain of ,   In simple English, is continuous at a point if for each there exists a such that the function lies between and when is between and .

2013

Weierstrass also made significant advancements in the field of calculus of variations. Using the apparatus of analysis that he helped to develop, Weierstrass was able to give a complete reformulation of the theory which paved the way for the modern study of the calculus of variations. Among the several significant axioms, Weierstrass established a necessary condition for the existence of strong extrema of variational problems. He also helped devise the Weierstrass–Erdmann condition, which gives sufficient conditions for an extremal to have a corner along a given extrema, and allows one to find a minimizing curve for a given integral.

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As a Senior Writer at Famous Net Worth, I spearhead an exceptional team dedicated to uncovering and sharing the stories of pioneering individuals. My passion for unearthing untold narratives drives me to delve deep into the essence of each subject, bringing forth a unique blend of factual accuracy and narrative allure. In orchestrating the editorial workflow, I am deeply involved in every step—from initial research to the final touches of publishing, ensuring each biography not only informs but also engages and inspires our readership.