| Zadacha Kvadratura Kruga. Dva Vzglyada Na Problemu Contributor(s): Denichenko Sergey (Author) |
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ISBN: 3659276960 ISBN-13: 9783659276965 Publisher: LAP Lambert Academic Publishing OUR PRICE: $50.27 Product Type: Paperback Language: Russian Published: October 2012 |
| Additional Information |
| BISAC Categories: - Mathematics | Geometry - General |
| Physical Information: 0.23" H x 6" W x 9" (0.33 lbs) 96 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: Kniga osveshchaet istoriyu nauki cherez zadachu antichnoy matematiki Kvadraturu kruga. Istoriya povestvovaniya okhvatyvaet vremena ot drevnego Egipta, do vremen, kogda vse sily nauchnogo soobshchestva byli napravleny na dokazatel'stvo nevozmozhnosti resheniya drevney zadachi. Vnachale obosnovali irratsional'nost', a zatem dokazali transtsendentnost' chisla Pi. V dokazatel'stve i irratsional'nosti i transtsendentnosti chisla Pi, ya uvidel nesostoyatel'nost'. I v tom i drugom sluchae, vmesto chisla Pi, kak chisla opredelyayushchego dlinu okruzhnosti, vystupaet simvol Pi, prisutstvuyushchiy v radiannoy mere ugla, i na osnovanii matematicheskikh manipulyatsiy s trigonometricheskimi funktsiyami ugla, byl sdelan vyvod o transtsendentnosti chisla opredelyayushchego dlinu okruzhnosti. Vtoraya chast' knigi, pokazyvaet popytku resheniya Kvadratury kruga klassicheskim geometricheskim metodom. Privoditsya vyvod matematicheskoy formuly dlya chisla Pi, iskhodya iz algoritma geometricheskogo resheniya Kvadratury kruga, i priveden raschet chisla po poluchennoy formule. A v tselom knigu mozhno vosprinimat' kak uchebnoe posobie po nauchnomu tvorchestvu. Pervaya chast' knigi - eto nauchnoe rassledovanie. Vtoraya chast' - eto nauchnoe issledovanie. Priyatnogo Vam prochteniya. |