Levan Chkhartishvili

Broschiertes Buch

Iteratsionnye i transtsendentnoe resheniya algebraicheskikh uravneniy

Monografiya

Beschreibung

Kniga posvyashchaetsya tsentral'noy probleme algebry resheniyu algebraicheskogo uravneniya. Dlya algebraicheskogo uravneniya s deystvitel'nymi polozhitel'nymi kornyami reshenie polucheno s pomoshch'yu irratsional'noy iteratsionnoy funktsii. Predlozheno obobshchenie etogo sposoba resheniya na sluchay algebraicheskikh uravneniy s kompleksnymi kornyami. Razrabotan mnogomernyy iteratsionnyy metod resheniya vekovogo uravneniya, kharakteristicheskim uravneniem dlya kotorogo sluzhit algebraicheskoe uravnenie. K podobnoy matematicheskoy zadache privodit tselyy ryad naibolee znachimykh problem estestvennykh nauk i tekhniki. Postroeno transtsendentoe reshenie algebraicheskogo uravneniya obshchego vida: vse korni predstavleny stepennymi ryadami ego koeffitsientov. V prilozhenii knigi privoditsya reshenie geometricheskoy zadachi vychisleniya ob"ema oblasti peresecheniya trekh sfer. K ney svodyatsya vazhnye materialovedcheskie problemy, naprimer, kvaziklassicheskiy raschet matrichnykh elementov vekovogo uravneniya, opredelyayushchego elektronnyy energeticheskiy spektr veshchestva. Dlya proizvol'nykh znacheniy radiusov i mezhtsentrovykh rasstoyaniy trekh sfer ob"em ikh oblasti peresecheniya predstavlen kusochno-analiticheskoy kombinatsiey algebraicheskikh i obratnykh trigonometricheskikh funktsiy.

Autor

Chkhartishvili Levan Sandroevich, Doktor fiziko-matematicheskikh nauk (Tbilisskiy gosudarstvennyy universitet im. I. Dzhavakhishvili, 2006 g.), yavlyaetsya Professorom Gruzinskogo tekhnicheskogo universiteta (Tbilisi). Osnovnye oblasti ego issledovaniy teoriya geometricheskoy i elektronnoy struktur veshchestva i svyazannye s neyu matematicheskie problemy.

Produktdetails

• Verlag: Palmarium Academic Publishing
• Seitenzahl: 88
• Russisch
• Abmessung: 220mm x 150mm
• ISBN-13: 9783847397106
• ISBN-10: 3847397109
• Artikelnr.: 40841525