CACrown ArchivesThe cinema collection
EN/FR
Search
Menu
Research dossier · General Reference

Vorlesungen über die Entwicklung der Mathematik im 19. Jahrhundert

article

Cross-disciplinary reference desk with index cards, atlas, dictionary and catalogue
General referenceInterpretive dossier study · Crown Archives visual atlas
Record originEnglish Wikipedia
Text licenseCC BY-SA 4.0
Source revisionJul 13, 2026
Entity authorityQ56655890 ↗
Source-derived summary

Vorlesungen über die Entwicklung der Mathematik im 19. Jahrhundert (German for 'Lectures on the Development of Mathematics in the 19th Century') is a book by Felix Klein that was published posthumously in two volumes (volumes 24 and 25 of Grundlehren der mathematischen Wissenschaften) in 1926 and 1927.

Felix Klein had lectured on the development of mathematics in the 19th century and then on relativity during World War I. The books were created from the notes of these lectures and edited by Richard Courant and Otto Neugebauer for the first volume and Courant and Stefan Cohn-Vossen for the second. Some content that Klein had originally envisioned as part of the text is missing.

The book has been enthusiastically received and widely praised. The first volume has been translated into Russian in 1937 and into English in 1979; in 1989, a second Russian translation appeared, followed in 2003 by a translation of the second volume. Both volumes have also been translated into Chinese.

Background and publication

Felix Klein (1849–1925) was a German mathematician best known for his Erlangen program, which emphasised the use of groups in geometry. From 1886 to 1913 he was professor at the University of Göttingen, which became one of the leading centres of mathematical research under his leadership.

Klein was interested in the history of mathematics and bought relevant books for the Göttingen library.

Editorial summary

This brief starts where responsible research should: with the source description of “Vorlesungen über die Entwicklung der Mathematik im 19. Jahrhundert” as article. Everything that follows is an evidence route, not borrowed authority.

Editorial reviewA concise reference frame for defining the subject, testing terminology and identifying the institution closest to the evidence. The current lead gives the account dated anchors—1926, 1927, 1937, 1979—that can be checked directly. The authority record carries competing date values—1926, 1927—which should remain separate until their references and qualifiers are resolved. The account is most persuasive where Vorlesungen, über and Entwicklung can be independently traced.
Editorial analysis

Why this record matters

The subject matters to the general reference register because the source frames it as article. Its deeper value depends on whether names, dates, institutions and citations support that framing.

Evidence profile

Named sources, stable identifiers and responsible institutions provide the strongest route from overview to verifiable evidence. The source revision retrieved here is dated Jul 13, 2026. The linked authority identifier is Q56655890. None of the 2 selected statements returned an explicit reference. The first chronological checks are 1926, 1927, 1937 and 1979.

Critical limits

A concise general-reference account can conceal disagreements about scope, terminology or the weight assigned to individual sources. The lead is largely declarative, so disagreement and counter-evidence require a deliberate search beyond the opening account. Authority statements aid reconciliation but still require their own references, qualifiers and ranks to be checked.

How to read it

Use the entry as an orientation point, then follow its citations and revision history. Names, dates and institutional relationships should be checked against the original record.

Best used for
  • Subject orientation
  • Search vocabulary
  • Locating named sources
Verify next

The closest primary source, responsible institution and strongest cited specialist reference.

Three-step research path

  1. Establish the record: confirm the title “Vorlesungen über die Entwicklung der Mathematik im 19. Jahrhundert”, its source revision and the description used here.
  2. Expand the search: follow Vorlesungen über die Entwicklung der Mathematik im 19. Jahrhundert primary sources, Vorlesungen über die Entwicklung der Mathematik im 19. Jahrhundert archive and Vorlesungen research across catalogues and specialist indexes.
  3. Test the account: compare the strongest cited source with the responsible institution’s current record and note any disagreement.

Questions for further research

  1. Which source most directly establishes the central claim about “Vorlesungen über die Entwicklung der Mathematik im 19. Jahrhundert”?
  2. Which cited source is closest to the event, object or claim?
  3. What terminology or title could unlock a more precise catalogue search?
Subject index

Search terms from this dossier

Source & attribution

This entry incorporates text from “Vorlesungen über die Entwicklung der Mathematik im 19. Jahrhundert” on English Wikipedia. Contributors are listed in the page history. Text is available under the Creative Commons Attribution-ShareAlike 4.0 License. Selected authority identifiers and statements are retrieved from Wikidata under CC0; their references and qualifiers remain part of the verification path.