Crelle's Journal

The Journal for Pure and Applied Mathematics, short Crelle Journal, is one of the most prestigious mathematical journals. It was founded in 1826 in Berlin and is the oldest still existing periodical in the field of mathematics.

The impact factor of the journal was in 2012 at 1,083. In statistics, the Science Citation Index, the magazine ranking it 32nd out of 295 journals in the category " Mathematics".

History

August Leopold Crelle had planned the Journal in 1828 as a result of quarterly journals should be gathered of which four to a band. However, the actual frequency of the booklets was already higher in 1830; 1887 was the 100th band to appear, the 200th in 1958 the mid- 1960s, the division was abandoned in books. ; the volumes were published each quarter, from the 1980s on a monthly basis. Was moved to the first volume of Duncker & Humblot in Berlin, in the following, also based in Berlin, Georg Reimer Verlag, which came up in the late 1918 Walter de Gruyter.

The topic should be relatively broad spectrum after Crelle original idea. He writes in his preface to the first volume:

" In the scope of its objects are to include:

Soon, however, a focus on mathematical topics took place. Although had work in the field of physics in the 19th century yet a permanent place - among other published contributions by Georg Simon Ohm, Ludwig Boltzmann and Hermann von Helmholtz - but starting around the turn of the century had become a purely mathematical journal, the Journal.

Publisher

After Crelle death in 1855 the journal was initially continued by respected professors of Berlin University, since the beginning of the 20th century by professors from other universities.

Since the late 1970s, the editorship is an international body of about five to eight renowned mathematicians. Current (2013 ) is editor in chief Rainer Weiss Auer, continues to belong to the editorial board Tobias Colding, Joachim Cuntz, Daniel Huybrechts and Jun- Muk Hwang on.

Contributions ( selection)

  • Niels Henrik Abel: studies on the series, Vol 1 (1826 ), p. 311-339
  • Ernst Eduard Kummer: General proof of Fermat's Last Theorem that the equation by integers is intractable for all those power - exponents, which are odd prime numbers and Bernoulli in the counters of the first half numbers as factors not happen Vol 40 (1850), p. 130-138 (see also: Great Fermat's theorem )
  • Karl Weierstrass: On the theory of Abelian functions, Vol 47 (1854 ), p. 289-306
  • Georg Cantor: About a property of the totality of all real algebraic numbers, Vol 77 (1874 ), p. 258-262 ( Cantor's first Überabzählbarkeitsbeweis )
  • Joseph Liouville: Leçons sur les fonctions double ment périodiques, Vol 88 (1879 ), p. 277-310
  • Johann von Neumann: An axiomatization of set theory, Vol 154 (1925), p. 219-240
  • Hans Hahn: About systems of linear equations in linear spaces, Vol 157 (1927), p. 214-229 ( original version of the theorem of Hahn- Banach )
  • Richard Brauer, Helmut Hasse, Emmy Noether: proof of a fundamental theorem in the theory of algebras, Vol 167 (1932), p. 399-404
Dioptrics Georg Ohm Leopold Kronecker Kurt Hensel Ludwig Schlesinger Ernst Kummer Hans Hahn (mathematician)
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