''Ergebnisse der Mathematik und ihrer Grenzgebiete''/''A Series of Modern Surveys in Mathematics'' is a series of scholarly monographs published by

Springer Science+Business Media Springer Science+Business Media, commonly known as Springer, is a German multinational publishing company of books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing. Originally founded in 1842 ...

. 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, and 3.Folge. Some of the most significant mathematical monographs of 20th century appeared in this series.

Original series

The series started in 1932 with publication of ''Knotentheorie'' by

Kurt Reidemeister Kurt Werner Friedrich Reidemeister (13 October 1893 – 8 July 1971) was a mathematician born in Braunschweig (Brunswick), Germany. Life He was a brother of Marie Neurath. Beginning in 1912, he studied in Freiburg, Munich, Marburg, and G� ...

as "Band 1" (English: volume 1). There seems to have been double numeration in this sequence.

Neue Folge

This sequence started in 1950 with the publication of ''Transfinite Zahlen'' by

Heinz Bachmann Heinz Bachmann (born 1924) is a mathematician who worked at the Eidgenössische Sternwarte (federal observatory) in Zürich. He introduced the Bachmann–Howard ordinal and ordinal collapsing function In mathematical logic and set theory, an ord ...

. The volumes are consecutively numbered, designated as either "Band" or "Heft". A total of 100 volumes was published, often in multiple editions, but preserving the original numbering within the series. The

ISSN An International Standard Serial Number (ISSN) is an eight-digit serial number used to uniquely identify a serial publication, such as a magazine. The ISSN is especially helpful in distinguishing between serials with the same title. ISSNs a ...

for this sequence is 0071-1136. As of February 2008, P. R. Halmos, P. J. Hilton, R. Remmert, and B. Szökefalvi-Nagy are listed on the series' website as the editors of the defunct 2. Folge.

3. Folge

This sequence started in 1983 with the publication of ''Galois module structure of algebraic integers'' by Albrecht Fröhlich. As of February 2008, the

editor-in-chief An editor-in-chief (EIC), also known as lead editor or chief editor, is a publication's editorial leader who has final responsibility for its operations and policies. The highest-ranking editor of a publication may also be titled editor, managing ...

is R. Remmert.

External links

* Series of mathematics books {{mathematics-book-stub