Teoriya Poverkhnostey V Evklidovom Prostranstve en V Pryamykh Oboznacheniyakh - Mira  Artyemovna Cheshkova - Books - Palmarium Academic Publishing - 9783847390848 - February 22, 2012
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Teoriya Poverkhnostey V Evklidovom Prostranstve en V Pryamykh Oboznacheniyakh Russian edition

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Monografiya sostoit iz trekh glav. V pervoy glave dayutsya neobkhodimye svedeniya iz rimanovoy geometrii. Rassmatrivayutsya takie ponyatiya: rimanovo mnogoobrazie, svyaznost' Levi-Chivita, sektsionnaya krivizna. Rassmatrivayutsya takzhe podmnogoobraziya rimanova mnogoobraziya. Zdes' zatragivayutsya takie temy, kak kovariantnoe differentsirovanie i vtoraya fundamental'naya forma. Vo vtoroy chasti differentsial'naya geometriya mnogomernykh poverkhnostey v evklidovom prostranstve daetsya v tenzornom izlozhenii. Shiroko ispol'zuetsya metod pryamykh oboznacheniy - sovremennoe izlozhenie tenzornogo metoda. Tret'ya glava posvyashchena teorii preobrazovaniy mnogomernykh poverkhnostey v evklidovom prostranstve. V chastnosti, rassmatrivayutsya sootvetstvie Petersona i ortogonal'noe sootvetstvie pary n-poverkhnostey v E2n. Kniga prednaznachena dlya nauchnykh rabotnikov, studentov starshikh kursov i aspirantov, spetsializiruyushchikhsya v oblasti geometrii.

Media Books     Paperback Book   (Book with soft cover and glued back)
Released February 22, 2012
ISBN13 9783847390848
Publishers Palmarium Academic Publishing
Pages 140
Dimensions 150 × 8 × 226 mm   ·   227 g
Language German  

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