What is recorded here?
Formulated the definite integral through partitions and sums and characterized a broad class of bounded functions for which those sums converge independently of the partition choices.
Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.
Scientific scope
The record is bounded to the integration treatment in Riemann’s 1854 habilitation work. Later Riemann-integration textbooks, Darboux formulations and Lebesgue integration are separate.
Read the original work
- Kalliope record for Riemann’s 1854 habilitation manuscript
- Riemann, On the representation of a function by a trigonometric series
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People and systems
Bernhard Riemann
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Documented countries / regions: Germany
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English catalogue narrative
Riemann: a definition and criterion for definite integrability
Formulated the definite integral through partitions and sums and characterized a broad class of bounded functions for which those sums converge independently of the partition choices.
Scientific scope
The record is bounded to the integration treatment in Riemann’s 1854 habilitation work. Later Riemann-integration textbooks, Darboux formulations and Lebesgue integration are separate.
Reading status
This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.
People and systems
Bernhard Riemann
The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.