| Elementy Prikladnoy Al'ternativnoy Teorii Mnozhestv Contributor(s): Dronov Sergey (Author) |
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ISBN: 3659172197 ISBN-13: 9783659172199 Publisher: LAP Lambert Academic Publishing OUR PRICE: $69.77 Product Type: Paperback Language: Russian Published: July 2012 |
| Additional Information |
| BISAC Categories: - Mathematics |
| Physical Information: 0.44" H x 6" W x 9" (0.64 lbs) 192 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: Ponyatie predela - odno iz osnovnykh v sovremennoy matematike. Traditsionnyy podkhod k nemu blagodarya obshchepriznannym nyne klassicheskim trudam Koshi i Veyershtrassa baziruetsya na tak nazyvaemom epsilon-del'ta yazyke. Odnako do poyavleniya etogo yazyka byl rasprostranen intuitivno bolee ponyatnyy sposob rassuzhdeniya, osnovannyy na beskonechnoy blizosti chisel ili tochek (Bol'tsano, Eyler). V ramkakh klassicheskogo matematicheskogo analiza podobnye rassuzhdeniya prinyato schitat' nestrogimi. No posle vykhoda knigi P.Vopenki "Matematika v al'ternativnoy teorii mnozhestv" poyavilas' vozmozhnost' pridat' im stroguyu aksiomaticheskuyu osnovu, sokhraniv vsyu prostotu i nntuitivnuyu prozrachnost' "naivnogo" podkhoda k predelu i blizkim ponyatiyam. V etoy knige delaetsya popytka obosnovaniya klassicheskikh svoystv predelov posledovatel'nostey, funktsiy a takzhe prosteyshikh faktov iz teorii veroyatnostey na novom, neobychnom yazyke al'ternativnoy teorii mnozhestv. Avtor pytaetsya priblizit' etu teoriyu, po suti otnosyashchuyusya k oblasti abstraktnoy matematicheskoy logiki, k nuzhdam shirokogo kruga matematikov. |