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Geometricheskie Kriterii Mebiusovosti: Kharakterizatsiya Mebiusovykh Preobrazovaniy Pri Minimal'nykh Predpolozheniyakh Tat'yana Kergilova Russian edition
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Geometricheskie Kriterii Mebiusovosti: Kharakterizatsiya Mebiusovykh Preobrazovaniy Pri Minimal'nykh Predpolozheniyakh
Tat'yana Kergilova
Mebiusovo preobrazovanie v n-mernom prostranstve ? eto kompozitsiya konechnogo chisla inversiy otnositel'no sfer. Vazhnost' mebiusovykh preobrazovaniy obuslovlena tem, chto na kompleksnoy ploskosti eto konformnye otobrazheniya, a v sluchae n > 2 vse konformnye otobrazheniya, soglasno teoreme Liuvillya, ischerpyvayutsya mebiusovymi. Mebiusovy preobrazovaniya nakhodyat shirokoe primenenie v razlichnykh oblastyakh sovremennoy nauki: teorii funktsiy, geometrii, topologii, differentsial'nykh uravneniyakh, teorii chisel, obshchey teorii gennykh setey i obrabotki signalov. V sovremennoy geometricheskoy teorii funktsiy sushchestvuet napravlenie, nazyvaemoe "kharakterizatsiya geometricheskikh preobrazovaniy pri minimal'nykh predpolozheniyakh", vklyuchayushchee izuchenie dostatochnykh priznakov mebiusovosti, izometrichnosti, affinnosti. Nastoyashchaya rabota posvyashchena issledovaniyu geometricheskikh kriteriev mebiusovosti otobrazheniy ploskikh i prostranstvennykh oblastey. Polucheny nekotorye dostatochnye priznaki mebiusovosti pri minimal'nykh trebovaniyakh k otobrazheniyu.
| Media | Books Paperback Book (Book with soft cover and glued back) |
| Released | November 23, 2012 |
| ISBN13 | 9783659303517 |
| Publishers | LAP LAMBERT Academic Publishing |
| Pages | 84 |
| Dimensions | 150 × 5 × 226 mm · 143 g |
| Language | German |