Ergebnisse der Mathematik und ihrer Grenzgebiete
Ergebnisse der Mathematik und ihrer Grenzgebiete/A Series of Modern Surveys in Mathematics is a series of scholarly monographs published by Springer-Verlag. The title literally means "Results in mathematics and related areas". Most of the books were published in German or English, but there were a few in French and Italian. There have been several sequences, or Folge: the original series, neue Folge, 3.Folge. Some of the most significant mathematical monographs of 20th century appeared in this series.
Scope
The publisher's description states:
- Ergebnisse der Mathematik und ihrer Grenzgebiete, now in its third sequence, aims to provide summary reports, on a high level, on important topics of mathematical research. Each book is designed as a reliable reference covering a significant area of advanced mathematics, spelling out related open questions, and incorporating a comprehensive, up-to-date bibliography.
The original series
The series started in 1932 with publication of Knotentheorie by Kurt Reidemeister as Band 1, 1. There seems to have been double numeration in this sequence.
Neue Folge
This sequence started in 1950 with publication of Transfinite Zahlen by Heinz Bachmann. The volumes are consecutively numbered, designated as either Band or Heft. Total of 100 volumes were published, often, in multiple editions, but preserving the original numbering within the series.
The ISSN for this sequence is 0071-1136. As of February 2008, the following persons are listed at the Springer website as the editors of the defunct 2.Folge:
- P. R. Halmos, P. J. Hilton, R. Remmert, B. Szökefalvi-Nagy.
3. Folge
This sequence started in 1983 with publication of Galois module structure of algebraic integers by Albrecht Fröhlich. Publication of volume 52 is announced for April 2008.
As of February 2008, the editors are:
- Editor-in-chief: R. Remmert
- Series Editors: M. Gromov, J. Jost, J. Kollar, G. Laumon, H. W. Lenstra, J. Tits, D. Zagier, G. M. Ziegler.