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New & Forthcoming Titles | Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics ( Miscellaneous)

Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics

Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics

Series Editors: Ambrosio, L., Baladi, V., Greuel, G.-M., Gromov, M., Huisken, G., Jost, J., Kollár, J., Laumon, G., Tillmann, U., Tits, J., Zagier, D.B.

Fortsetzung von: Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge

ISSN: 0071-1136

History of the Ergebnisse series

Ergebnisse der Mathematik und ihrer Grenzgebiete was launched in 1932 by the editors of the Zentralblatt für Mathematik und ihrer Grenzgebiete (including among others Pavel Alexandrov, Wilhelm Blaschke, Richard Courant, GH Hardy, Gaston Julia, Tullio Levi-Civita, Rolf Nevanlinna, and Bartel van der Waerden) who were well-positioned to commission monographs on new topics of interest in mathematics. At the beginning the format was journal-like: 5 numbers per volume, with each number being 100-150 pages in length. Zentralblatt subscribers would receive a discount. To name a few of the classic books which appeared in the first few years, one could mention Knotentheorie by Kurt Reidemeister (1932), Grundbegriffe der Warscheinlichkeitsrechnung by Andrei Kolmogorov (1933), Algebraic Surfaces by Oscar Zariski (1935) or Idealtheorie by Wolfgang Krull (1935). Soon enough the situation in Germany led to the dissolution of the Zentralblatt editorial board and with it the publication of Ergebnisse came to a halt. The final number of the fifth volume was published in 1942, marking the end of the first sequence ("1. Folge") of the series.
After the war, Springer gradually returned to activity and Ergebnisse was refounded in its second sequence ("2. Folge") with a new editorial board. Only Richard Courant, who had emigrated to the USA, remained from the first sequence. A new format was decided upon: the series would publish individual books as numbers ("Hefte") instead of journal-like volumes ("Bände"). Each of the editors was responsible for commissioning books in their field of expertise: there was Lars Ahlfors for complex analysis, Reinhold Baer for group theory, Joseph Doob for probability and statistics, Samuel Eilenberg for topology, Paul Halmos for analysis, Beniamino Segre for algebraic geometry… The second sequence of the series published its first book in 1955. By 1961, 30 books had appeared in this sequence, making it a clear success. In the second half of the 1960s Peter Hilton became the managing editor of the series and the look of the series changed with a new, cleaner cover design. The individual books in the series were now referred to as volumes ("Bände").
Current incarnation
By the end of the 1970s it was decided to revamp the series, with series editor Reinhold Remmert of the University of Münster taking over the reins as managing editor. Remmert had very successfully founded the journal Inventiones mathematicae in 1966, and he invited some of its editors—including Enrico Bombieri, Nicolaas Kuiper, Jean-Pierre Serre and Jacques Tits—to the new editorial board of Ergebnisse. The first volume of this third sequence ("3. Folge") was published in 1983. At the same time, books that had been commissioned for the second sequence were still being published, with the final volume number 101 appearing in 1988, so the two sequences of the series coexisted for a few years. In its third sequence, the series was essentially run by Remmert, who commissioned most of the books of the series, whilst the editorial board would advise on topics and manuscripts. The series continues to this day with a full editorial board, but without a managing editor. By 2017, over 65 books had appeared in the third sequence.