Утверждения об отображениях подмножеств множеств натуральных чисел и их доказательства методом математической индукции
| Parent link: | Перспективы развития фундаментальных наук.— 2012.— [С. 654-656] |
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| Other Authors: | |
| Summary: | Заглавие с экрана This report presents a comparative analysis of finite and infinite sets, using the notions of bijection, injection and surjection. The statement regarding surjective, injective and bijective mappings of finite sets, in particular, initial segments of natural sequence are proved by mathematical induction technique. The specified scheme of the proof of the corresponding mapping on the set of natural numbers is introduced. |
| Language: | Russian |
| Published: |
2012
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| Series: | Математика |
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| Online Access: | http://www.lib.tpu.ru/fulltext/c/2012/C21/220.pdf |
| Format: | Electronic Book Chapter |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=238982 |
| Physical Description: | 1 файл(528 Кб) |
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| Summary: | Заглавие с экрана This report presents a comparative analysis of finite and infinite sets, using the notions of bijection, injection and surjection. The statement regarding surjective, injective and bijective mappings of finite sets, in particular, initial segments of natural sequence are proved by mathematical induction technique. The specified scheme of the proof of the corresponding mapping on the set of natural numbers is introduced. |