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La Derivada del Coseno | | Joseph F. Johnson
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8 Mar 2007 | | Subject: | General Mathematics | | 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, math/0703239 | | Services: | Forum | Review | PDF | Favorites | |
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