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Parcialne diferencialne enačbe, kompleksna analiza in optimizacijaRupnik Poklukar, Darja ; Peperko, Aljoša ; Žerovnik, Janez, 1958-Vsebina učbenika pokriva snov predmeta Parcialne diferencialne enačbe, kompleksna analiza in optimizacija v drugem letniku na novem univerzitetnem programu strojništva na Univerzi v Ljubljani. ... Predmet nadaljuje obravnavo matematičnih vsebin v prvih treh semestrih in je smiselno nadaljevanje učbenikov Analiza in navadne diferencialne enačbe, Linearna algebra in vektorska analiza in Integralske transformacije in Fourierova analiza. Učbenik je zato napisan ob predpostavki, da bralec pozna vsebino prvih treh učbenikov. Učbenik je napisan v podobnem stilu kot prvi trije. Nekatere vsebine so obravnavane bolj podrobno, z izpeljavami, v mnogih primerih pa so zaradi časovnih in prostorskih omejitev dokazi izpuščeni, bralec je usmerjen k dodatnim virom. Poskrbljeno je za primerno veliko število zgledov in nalog z rešitvami, tudi iz uporabe v strojništvu. Da bi bil učbenik bralcem bolj prijazen, je na koncu vsakega poglavja povzetek, na koncu knjige pa seznam pojmov. V prvem poglavju se podrobneje srečamo z reševanjem parcialnih diferencialnih enačb, predvsem valovne, toplotne in Laplaceove diferencialne enačbe, v različnih dimenzijah. Spoznamo metodo separacije spremenljivk, uporabo Fourierovih in posplošenih Fourierovih vrst. V drugem poglavju spoznamo metodo linearnega programiranja in nekaj osnov iz teorije grafov, v zadnjem poglavju pa osnove kompleksne analize, analitičnih funkcij in krivuljnega integrala kompleksnih funkcij.Type of material - textbook ; adult, seriousEdition - 1. izd.Publication and manufacture - Ljubljana : Fakulteta za strojništvo, 2023Language - slovenianISBN - 978-961-6980-97-5COBISS.SI-ID - 138586371
Author
Rupnik Poklukar, Darja |
Peperko, Aljoša |
Žerovnik, Janez, 1958-
Other authors
Turnšek, Aleksej |
Povh, Janez, 1973-
Topics
Parcialne diferencialne enačbe |
Učbeniki za visoke šole |
Linearno programiranje |
Učbeniki za visoke šole |
diferencialne enačbe |
kompleksna analiza |
optimizacija |
matematika |
naloge |
rešitve
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Database name | Field | Year |
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Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
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Rupnik Poklukar, Darja | 21774 |
Peperko, Aljoša | 24328 |
Žerovnik, Janez, 1958- | 03430 |
Turnšek, Aleksej | 12191 |
Povh, Janez, 1973- | 22649 |
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