Zhordanovy Bazisy I Bazisy Veyra Contributor(s): Yatskin Nikolay (Author) |
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ISBN: 3847390252 ISBN-13: 9783847390251 Publisher: Palmarium Academic Publishing OUR PRICE: $69.77 Product Type: Paperback Language: Russian Published: March 2012 |
Additional Information |
BISAC Categories: - Mathematics | Algebra - General |
Physical Information: 0.47" H x 6" W x 9" (0.67 lbs) 204 pages |
Descriptions, Reviews, Etc. |
Publisher Description: V uchebnom posobii predstavlyaetsya original'nyy podkhod k izucheniyu odnogo iz klyuchevykh razdelov lineynoy algebry - spektral'noy teorii lineynykh operatorov. Detal'no opisyvaetsya tochno rabotayushchiy algoritm postroeniya zhordanova (ili chastichno zhordanova) bazisa dlya lineynogo operatora, deystvuyushchego v konechnomernom lineynom prostranstve nad polem ratsional'nykh chisel. Buduchi vyrazhennoy na matrichnom yazyke, eta zadacha sostoit v privedenii kvadratnoy matritsy k (polnoy ili chastichnoy) zhordanovoy normal'noy forme. Opisyvaetsya realizatsiya algoritma sredstvami komp'yuternoy algebry (v forme obuchayushchey programmy-stsenariya). Privoditsya informatsiya o bazisakh i normal'noy forme Veyra. Posobie snabzheno terminologicheskim spravochnikom, soderzhashchim neobkhodimye svedeniya iz teorii. Podrobno rassmatrivayutsya primery, prilagayutsya varianty dlya samostoyatel'nogo resheniya. Posobie prednaznacheno dlya studentov vuzov, obuchayushchikhsya po napravleniyu "Matematika i komp'yuternye nauki", no budet poleznym i prepodavatelyam. Izlagaemaya metodika dopuskaet razvitie i primenenie v bolee prodvinutykh (spetsial'nykh) razdelakh algebry. |