Daniel Friedrich Ernst Meissel ( German: Daniel Friedrich Ernst Meissel , July 31 , 1826 , Eberswalde , Brandenburg - March 11, 1895 , Kiel , German Empire ) - German astronomer and mathematician.
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Content
- 1 life
- 2 Proceedings
- 3 See also
- 4 Literature
- 5 Links
- 6 notes
Life
Meissel attended the Friedrich Wilhelm Gymnasium in Berlin and after graduating from school in 1847 he entered the Humboldt University of Berlin , where mathematics were taught at that time by Karl Gustav Jacobi and Peter Gustav Lejeune Dirichlet . In 1850 he defended his doctoral dissertation in Halle (" De serie quaedam Jacobiana" ), but later passed the state exam for the specialty of a teacher. From 1852 he worked as a teacher at the Berlin Mining Academy, and also taught at the Berlin Academy of Architecture . In the same year, he became director of the Royal Zemstvo Vocational School in Iserlohn . In 1871 he was appointed director of the city school of Kiel, where he spent the rest of his career.
Proceedings
Meissel conducted research in the field of number theory , mathematical analysis (differential equations, asymptotic events, theta functions , elliptic functions , Bessel functions ), spherical trigonometry , and also studied applied problems of hydrodynamics , three-body problems in celestial mechanics and light refraction in the atmosphere. He gained fame thanks to a series of articles of 1870-1885, in which he described and applied in practice the combinatorial method he developed for calculating the value of a function . Meissel, who had a developed ability to make accurate calculations and work with complex equations, calculated the values for . His algorithm was subsequently finalized and simplified by Lehmer , who confirmed the accuracy of the calculations of Meissel (who conducted them in the time before the invention of the computer): when the value of 50 847 478 obtained by Meissel differs from the exact value only by 56 in a smaller direction. In 1985, Lagarias, Miller Odlyzko, using the sieve method of analytic number theory, significantly increased the efficiency of the Meissel method [2] , and was later further refined by other authors with the use of additional methods of analytical number theory. [3]
See also
Meissel-Mertens Constant
Literature
- J. Peetre: Outline of a scientific biography of Ernst Meissel (1826-1895), Historia Mathematica Band 22, 1995, S. 154-178.
Links
- John J. O'Connor, Edmund F. Robertson : Ernst Meissel on the MacTutor History of Mathematics archive
- E. Meissel Publications in the Astrophysics Data System
- Obituary . Astronomische Nachrichten, Bd. 137 (1895), S. 239
Notes
- ↑ 1 2 Archive for the history of mathematics MacTyutor
- ↑ JC Lagarias, VS Miller and Odlyzko AM: Computing π (x): the Meissel-Lehmer method ,
- ↑ Chris Caldwell: How many primes are there? 1.2.