Kompleksnyy Analiz: Konformnye Otobrazheniya - Igor' Aleksandrovich Aleksandrov - Books - Palmarium Academic Publishing - 9783847393511 - April 27, 2012
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Kompleksnyy Analiz: Konformnye Otobrazheniya Russian edition


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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  

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