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Mnogoznachnye Otobrazheniya V Analize: Nekotorye Prilozheniya Boris Gel'man Russian edition
Mnogoznachnye Otobrazheniya V Analize: Nekotorye Prilozheniya
Boris Gel'man
Teoriya mnogoznachnykh otobrazheniy kak otdel'naya oblast' matematiki sformirovalas' v seredine 20-go veka i srazu nashla mnogochislennye prilozheniya v matematicheskoy ekonomike, v teorii differentsial'nykh uravneniy, v teorii differentsial'nykh igr, vypuklom analize i teorii ekstremal'nykh zadach, v teorii obobshchennykh dinamicheskikh sistem i mnogikh drugikh razdelakh matematiki. Sushchestvennoe mesto v teorii mnogoznachnykh otobrazheniy zanimaet problema izucheniya nepodvizhnykh tochek i resheniy operatornykh vklyucheniy. V nastoyashchee vremya sushchestvuyut razlichnye metody izucheniya nepodvizhnykh tochek mnogoznachnykh otobrazheniy, kak metricheskie (svyazannye s printsipom szhimayushchikh otobrazheniy), tak i topologicheskie (osnovannye na postroenii topologicheskikh invariantov mnogoznachnykh otobrazheniy). Takzhe sushchestvennoe mesto v teorii mnogoznachnykh otobrazheniy zanimaet problema sushchestvovaniya nepreryvnykh secheniy i approksimatsiy. V nastoyashchey monografii izlagaetsya prostoy podkhod k etim problemam i rassmatrivayutsya nekotorye prilozheniya dokazannykh teorem k razlichnym zadacham nelineynogo analiza. Kniga rasschitana na matematikov, interesuyushchikhsya teoriey mnogoznachnykh otobrazheniy, i spetsialistov v oblasti nelineynogo analiza.
| Media | Books Paperback Book (Book with soft cover and glued back) |
| Released | November 17, 2012 |
| ISBN13 | 9783659980534 |
| Publishers | Palmarium Academic Publishing |
| Pages | 184 |
| Dimensions | 150 × 11 × 225 mm · 292 g |
| Language | German |
See all of Boris Gel'man ( e.g. Paperback Book )