Edmund Landau
Edmund Landau | |
---|---|
Edmund Landau | |
Born |
Edmund Georg Hermann Landau 14 February 1877 Berlin, Germany |
Died |
19 February 1938 61) Berlin, Germany | (aged
Nationality | German |
Fields |
Number theory Complex analysis |
Institutions |
University of Berlin University of Göttingen Hebrew University of Jerusalem |
Alma mater | University of Berlin |
Doctoral advisor |
Georg Frobenius Lazarus Fuchs |
Doctoral students |
Paul Bernays Harald Bohr Gustav Doetsch Hans Heilbronn Dunham Jackson Erich Kamke Aubrey Kempner Alexander Ostrowski Carl Ludwig Siegel Arnold Walfisz Vojtěch Jarník |
Known for |
Distribution of prime numbers Landau prime ideal theorem |
Spouse | Marianne Ehrlich |
Edmund Georg Hermann Landau (14 February 1877 – 19 February 1938) was a German mathematician who worked in the fields of number theory and complex analysis.
Biography
Edmund Landau was born in Berlin. His father was Leopold Landau, a gynecologist and his mother was Johanna Jacoby. Landau studied mathematics at the University of Berlin and received his doctorate in 1899 and his habilitation (the post-doctoral qualification required in German universities) in 1901. His doctoral thesis was 14 pages long. In 1905 he married Marianne Ehrlich, the daughter of the biologist Paul Ehrlich, who was awarded the 1908 Nobel Prize in Physiology or Medicine.
Landau taught at the University of Berlin from 1899 until 1909 and held a chair at the University of Göttingen from 1909 onwards. Himself Jewish, in the 1920s Landau was instrumental in establishing the Mathematics Institute at the nascent Hebrew University of Jerusalem. Landau taught himself Hebrew, with the intent of eventually settling in Jerusalem. At the groundbreaking ceremony of the Hebrew University on April 2, 1925 he lectured in Hebrew on the topic Solved and unsolved problems in elementary number theory. He negotiated with the President of the University, Judah Magnes, regarding the details of his position at the University and the building that was to house the Mathematics Institute. In 1927 Landau and his family emigrated to Palestine, and he began teaching at the Hebrew University. The Landau family had difficulty adjusting to the primitive living standards then available in Jerusalem. In addition, Landau became a pawn in a struggle for control of the University between Magnes and Chaim Weizmann and Albert Einstein. Magnes suggested that Landau be appointed rector of the University, but Einstein and Weizmann supported Selig Brodetsky. Landau was disgusted by the dispute, not of his own making, and he decided to return to Göttingen. He remained there until he was forced out by the Nazi regime after the Machtergreifung in 1933 and thereafter he lectured only outside of Germany. In 1934 he moved to Berlin, where he died in early 1938 of natural causes.
In 1903 Landau gave a much simpler proof than was then known of the prime number theorem and later presented the first systematic treatment of analytic number theory in the Handbuch der Lehre von der Verteilung der Primzahlen,[1] or simply the Handbuch. He also made important contributions to complex analysis.
G. H. Hardy wrote that no one was ever more passionately devoted to mathematics than Landau.
Translated works
- Foundations of Analysis, Chelsea Pub Co. ISBN 0-8218-2693-X.
- Differential and Integral Calculus, American Mathematical Society. ISBN 0-8218-2830-4.
- Elementary Number Theory, American Mathematical Society. ISBN 0-8218-2004-4.
See also
- Landau's function
- Landau prime ideal theorem
- Landau's problems
- Landau's symbol (Big O notation)
- Landau–Kolmogorov inequality
- Landau–Ramanujan constant
- Landau's problem on the Dirichlet eta function
References
- ↑ Gronwall, T. H. (1914). "Review: Handbuch der Lehre von der Verteilung der Primzahlen". Bull. Amer. Math. Soc. 20 (7): 368–376. doi:10.1090/s0002-9904-1914-02502-9.
Further reading
- Hardy, G. H.; H. Heilbronn (1938). "Edmund Landau". Journal of the London Mathematical Society 13 (4): 302–310. doi:10.1112/jlms/s1-13.4.302. Retrieved 2009-06-11. Obituary and review of scientific work and books.
External links
Wikiquote has quotations related to: Edmund Landau |
- O'Connor, John J.; Robertson, Edmund F., "Edmund Landau", MacTutor History of Mathematics archive, University of St Andrews.
- Edmund Landau at the Mathematics Genealogy Project
- Edmund Landau: The Master Rigorist by Eli Maor, Trigonometric Delights, page 192.
- Translation of his doctoral thesis: Neuer Beweis der Gleichung , Berlin 1899
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