| Gruppy Preobrazovaniy Krivykh Contributor(s): Rogozinnikov Evgeniy (Author) |
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ISBN: 3844350403 ISBN-13: 9783844350401 Publisher: LAP Lambert Academic Publishing OUR PRICE: $50.27 Product Type: Paperback Language: Russian Published: June 2011 |
| Additional Information |
| BISAC Categories: - Mathematics | Geometry - General |
| Physical Information: 0.25" H x 6" W x 9" (0.36 lbs) 104 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: Izvestno, chto mnozhestva vozmozhnykh sostoyaniy razlichnykh evolyutsioniruyushchikh sistem mozhno rassmatrivat' kak gladkie mnogoobraziya. Nepreryvnaya evolyutsiya rassmatrivaemoy sistemy predstavlyaet soboy krivuyu vdol' etogo mnogoobraziya. S matematicheskoy tochki zreniya krivye na razlichnogo roda geometricheskikh ob"ektakh yavlyayutsya klassicheskim ob"ektom issledovaniy. Gruppy preobrazovaniy geometricheskikh ob"ektov yavlyayutsya vazhneyshimi i klassicheskimi proizvodnymi strukturami, v terminakh kotorykh osushchestvlyaetsya klassifikatsiya geometricheskikh ob"ektov i provoditsya issledovanie ikh razlichnykh svoystv. Nastoyashchaya monografiya posvyashchena izucheniyu krivykh, a takzhe nekotorykh obobshcheniy etogo ponyatiya, v terminakh ikh grupp preobrazovaniy. Issleduetsya stroenie grupp preobrazovaniy krivykh, rassmatrivayutsya vzaimosvyazi mezhdu geometricheskimi svoystvami krivykh i svoystvami ikh grupp preobrazovaniy, ustanavlivayutsya usloviya, pri kotorykh vozmozhno postroenie krivoy po zadannoy gruppoy preobrazovaniy. Osoboe vnimanie udeleno izucheniyu krivykh vdol' gladkikh mnogoobraziy, poskol'ku takie krivye, a takzhe ikh gruppy dvizheniy yavlyayutsya naibolee vazhnymi s prikladnoy tochki zreniya. |