Year: 2007
Type: preprint
Abstract: The simplest rigourous, non-circular proof that d(cos x) = -sen x. Some details omitted if the gap is intuitive, nevertheles, each gap is easily filled, rigourously. As Ehrenpreis and others have pointed out, the usual text book `proof' is circular, since it assumes the area of circular sectors is already known. Various Cours d'Analyse tomes (Hermite, Jordan, etc.) have correct proofs which, however, are more difficult.
Source: arXiv (Cornell University)
Author: Johnson, Joseph F.
Language: English
Subfield: Theoretical Computer Science
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1567975879
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