Abstract
After Gauss died in 1855 mathematicians who looked at his unpublished papers were astonished to discover how much he had known and never revealed. His sympathy for the work of Bolyai and Lobachevskii, for example, was decisive in awakening the first positive readings of their work on the new, non-Euclidean, geometry.
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Notes
- 1.
Reprinted, with an English translation, a commentary and corrections in Dunnington (2004).
- 2.
These and other formulae come from Gauss Werke 3, 403–412.
- 3.
Schlesinger, in Gauss’s Werke, vol. X.2, 63, suggested that it was the fact that the reciprocal of \(M(1,\sqrt{2})\) occurs which led Gauss to consider not the agm in general but its reciprocal.
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Gray, J. (2015). Gauss. In: The Real and the Complex: A History of Analysis in the 19th Century. Springer Undergraduate Mathematics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-23715-2_9
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DOI: https://doi.org/10.1007/978-3-319-23715-2_9
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