Journal for pure and applied mathematics

Journal for pure and applied mathematics
description	German mathematics journal
First edition	1826
Frequency of publication	per month
Web link	Publishing site
ISSN (print)	0075-4102

Magazine cover (1826)

The Journal for Pure and Applied Mathematics , or Crelles Journal for short , is one of the most renowned mathematical journals . It was founded in Berlin in 1826, making it the oldest periodical in the field of mathematics that still exists today .

The journal's impact factor in 2012 was 1.083. In the statistics of the Science Citation Index , the journal was ranked 32nd out of 295 journals in the "Mathematics" category.

history

August Leopold Crelle planned the Journal in 1828 as a series of quarterly publications, four of which were to be combined into one volume. The actual frequency of the issues was higher from 1830; The 100th volume was already published in 1887, the 200th in 1958. In the mid-1960s, the division into booklets was abandoned; the volumes were now published quarterly, from the 1980s onwards monthly. The first volume was published by Duncker & Humblot in Berlin, the following by Georg Reimer Verlag , also based in Berlin, which was published by Walter de Gruyter at the end of 1918 .

According to Crelle's original idea, the subject area should be relatively broad. In his preface to the first volume he writes:

"The scope of their objects should include:

1. Pure mathematics, that is, analysis, geometry and the theory of mechanics in their entirety.
2. Applications of mathematics of all kinds, e.g. B. on the theory of light (optics, catoptrics , dioptrics ), on the theory of heat, on the theory of sound, on probabilities etc .; also hydraulics, mechanical engineering, mathematical geography, geodesy, etc. Astronomy should not be excluded, but should not be a main subject either, because this science is the only concern of a magazine. "

Soon, however, there was a focus on mathematical topics. Although work in the field of physics still had a permanent place in the 19th century - among others, articles by Georg Simon Ohm , Ludwig Boltzmann and Hermann von Helmholtz  - but from around the turn of the century the journal had become a purely mathematical journal.

editor

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

Editor (until 1979)	Period
August Leopold Crelle	1826-1855
Karl Wilhelm Borchardt	1856-1880
Karl Weierstrasse	1881-1888
Leopold Kronecker	1881-1891
Lazarus Immanuel Fuchs	1892-1902
Kurt Hensel	1903-1936
Ludwig Schlesinger	1929-1933
Helmut Hasse	1929-1979
Hans Rohrbach	1952-1977

Since the late 1970s, it has been edited by an international committee of around five to eight renowned mathematicians. The current (2013) managing editor is Rainer Weissauer , and the editorial board also includes Tobias Colding , Joachim Cuntz , Daniel Huybrechts and Jun-Muk Hwang .

Contributions (selection)

• Niels Henrik Abel : Studies on the series Vol. 1 (1826) pp. 311–339 ${\displaystyle \textstyle 1+{\frac {m}{1}}\cdot x+{\frac {m\cdot (m-1)}{1\cdot 2}}\cdot x^{2}\dots }$
• Felix Eberty : Proof of the theorems Volume 2. Book 3. No. 54. P. 287 . Vol. 5 (1830) pp. 107-109
• Ernst Eduard Kummer : General proof of Fermat's theorem that the equation is unsolvable by whole numbers, for all those power exponents which are odd prime numbers and do not occur as factors in the numerators of the first ½ Bernoulli numbers ${\displaystyle x^{\lambda }+y^{\lambda }=z^{\lambda }}$ ${\displaystyle \lambda }$ ${\displaystyle (\lambda -3)}$ Vol. 40 (1850) p . 130–138 ( see also: Big Fermat's Theorem )
• Karl Weierstrasse : On the theory of Abelian functions . Vol. 47 (1854) pp. 289-306
• Georg Cantor : About a property of the epitome of all real algebraic numbers . Vol. 77 (1874) pp. 258–262 ( Cantor's first proof of uncountability )
• Joseph Liouville : Leçons sur les fonctions doublement périodiques . Vol. 88 (1879) pp. 277-310
• Johann von Neumann : An axiomatization of set theory . Vol. 154 (1925) pp. 219-240
• Hans Hahn : About linear systems of equations in linear spaces . Vol. 157 (1927) pp. 214-229 (original version of Hahn-Banach's sentence )
• Richard Brauer , Helmut Hasse , Emmy Noether : Proof of a main theorem in the theory of algebras . Vol. 167 (1932) pp. 399-404

Web links

Wikisource: Journal for pure and applied mathematics  - sources and full texts

• Publishing site
• Years 1826–1997 (Göttingen Digitization Center)

Individual evidence

1. ^ ISI Web of Knowledge, Journal Citation Reports, Science Edition, 2013.