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Kompleksnyy Analiz: Konformnye Otobrazheniya Igor' Aleksandrovich Aleksandrov Russian edition
Kompleksnyy Analiz: Konformnye Otobrazheniya
Igor' Aleksandrovich Aleksandrov
V knige dany teoreticheskie osnovy postroeniya konformnykh otobrazheniy ploskikh oblastey. Privoditsya dokazatel'stvo teoremy Rimana na baze printsipov maksimuma i kompaktnosti Montelya dlya golomorfnykh funktsiy. Dlya prosteyshikh otobrazheniy otslezhivayutsya preobrazovaniya ortogonal'nykh setok. Teoremy o sootvetstvii granits pri prosteyshikh konformnykh otobrazheniyakh ispol'zuyutsya dlya nakhozhdeniya funktsiy, realizuyushchikh otobrazhenie kruga ili poluploskosti na oblasti s zadannoy granitsey. Daetsya vyvod i ukazany primeneniya formuly Shvartsa-Kristoffelya. Dokazano, chto otobrazhenie kruga na krugovoy mnogougol'nik udovletvoryaet uravneniyu Shvartsa. Rassmatrivayutsya svyazi funktsiy krugovogo treugol'nika s gipergeometricheskoy funktsiey Gaussa. Kniga prednaznachena dlya studentov i aspirantov universitetov. Ona mozhet byt' poleznoy spetsialistam v raznykh oblastyakh nauki, zhelayushchikh oznakomit'sya s osnovnymi polozheniyami teorii konformnykh otobrazheniy.
| Media | Books Paperback Book (Book with soft cover and glued back) |
| Released | April 27, 2012 |
| ISBN13 | 9783847393511 |
| Publishers | Palmarium Academic Publishing |
| Pages | 116 |
| Dimensions | 150 × 7 × 226 mm · 181 g |
| Language | Russian |