Hans Adolph Rademacher (3 April 1892, Wandsbeck, now Hamburg-Wandsbek – 7 February 1969, Haverford, Pennsylvania, USA) was a German mathematician, known for work in mathematical analysis and number theory. Wandsbek is a urban quarter in the Wandsbek borough of Hamburg, Germany and the former city Wandsbek in the Duchy of Holstein. Germany, officially the Federal Republic of Germany ( ˈbʊndəsʁepuˌbliːk ˈdɔʏtʃlant is a Country in Central Europe. A mathematician is a person whose primary area of study and research is the field of Mathematics. Analysis has its beginnings in the rigorous formulation of Calculus. Number theory is the branch of Pure mathematics concerned with the properties of Numbers in general and Integers in particular as well as the wider classes He emigrated from Europe in 1934. Constantin Carathéodory supervised his dissertation. Constantin Carathéodory (or Constantine Karatheodoris ( Greek: Κωνσταντίνος Καραθεοδωρή ( September 13, 1873 &ndash February
Rademacher had a number of well known students, including George Andrews and Theodor Estermann. George Eyre Andrews (born December 4 1938 in Salem Oregon) is an American Mathematician working in analysis and Combinatorics. Theodor Estermann ( 5 February 1902 &ndash 29 November[[ 991]] was a mathematician working in the field of Analytic number theory.
Biography
After leaving Germany, he moved to Philadelphia and worked at the University of Pennsylvania until his retirement in 1962. Philadelphia (ˌfɪləˈdɛlfiə The University of Pennsylvania (also known as Penn) is a private University located in Philadelphia, Pennsylvania, USA. His distinguished scope of work includes analytic number theory, mathematical genetics, the theory of functions of a real variable, and quantum theory. In Mathematics, analytic number theory is a branch of Number theory that uses methods from Mathematical analysis to solve number-theoretical problems Genetics (from Ancient Greek grc-Latn genetikos, “genitive” and that from grc-Latn genesis, “origin” a discipline of Biology, is Real analysis is a branch of Mathematical analysis dealing with the set of Real numbers In particular it deals with the analytic properties of real Quantum mechanics is the study of mechanical systems whose dimensions are close to the Atomic scale such as Molecules Atoms Electrons Most notably, he developed the theory of Dedekind sums. In Mathematics, Dedekind sums, named after Richard Dedekind, are certain sums of products of a Sawtooth function s, and are given by a function
With his retirement from the University of Pennsylvania, a group of mathematicians provided the seed funding for The Hans A. Rademacher Instructorships, and honored him with an honorary degree as Doctor of Science. He was known for his kindness to colleagues and students.
See also
- Rademacher function
- Rademacher sum
- Rademacher-Kolmogorov theorem
- Rademacher-Menchov theorem
- Rademacher's series
- Rademacher distribution
External links
- O'Connor, John J. In Number theory, a partition of a positive Integer n is a way of writing n as a Sum of positive integers WikipediaWikiProject Probability#Standards for a discussionof standards used for probability distribution articles such as this one & Robertson, Edmund F. , “Hans Rademacher”, MacTutor History of Mathematics archive
- Hans Rademacher at the Mathematics Genealogy Project
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