Nikolay Yatskin

Zhordanovy bazisy i bazisy Veyra

dlya lineynykh operatorov nad polem ratsional'nykh chisel

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Verlag: Palmarium Academic Publishing
• Seitenzahl: 204
• Erscheinungstermin: 3. Mai 2014
• Russisch
• Abmessung: 220mm x 150mm x 13mm
• Gewicht: 322g
• ISBN-13: 9783847390251
• ISBN-10: 3847390252
• Artikelnr.: 40832826

Autorenporträt

Professor kafedry algebry i matematicheskoy logiki Ivanovskogo gosudarstvennogo universiteta. Avtor uchebnykh posobiy: "Algebra: Teoremy i algoritmy", "Lineynaya algebra: Teoremy i algoritmy". Nauchnye interesy: topologicheskaya algebra. Monografiya "Lineynye differentsial'nye uravneniya na mnogoobraziyakh" (v soavtorstve s S. G. Kreynom).