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Title:Vektorska analiza
Authors:ID Sovič, Tina (Author)
ID Špacapan, Simon (Author)
ID Kosi-Ulbl, Irena (Reviewer)
ID Erveš, Rija (Reviewer)
ID Perša, Jan (Technical editor)
Files:URL https://press.um.si/index.php/ump/catalog/book/798
 
.pdf RAZ_Sovic_Tina_2023.pdf (10,89 MB)
MD5: 3648B0B3268B03781B47D9A5B5030297
 
Language:Slovenian
Work type:Higher education textbook
Organization:FS - Faculty of Mechanical Engineering
UZUM - University of Maribor Press
Abstract:V učbeniku Vektorska analiza avtorja, dr. Tina Sovič in dr. Simon Špacapan, predstavita vektorske in skalarne funkcije ene in več spremenljivk. Obravnavata glavne teme iz tega področja, kot so krivulje in ploskve v prostoru, odvod vektorskih funkcij, dvojni in trojni integral, ter krivuljni in ploskovni integral skalarne in vektorske funkcije. Namen učbenika je tudi predstaviti praktične aplikacije teorije vektorskih funkcij na področju inženirske prakse, ki se pojavlja pri reševanju različnih problemov v realnem življenju. Učbenik je opremljen s številnimi grafičnimi prikazi, ki nazorno prikazujejo obravnavano temo, številnimi zgledi, ki na konkretnih primerih prikazujejo uporabo teorije v računskih nalogah, ter nekaterimi vajami, ki so namenjene za samostojno reševanje študentov.
Keywords:vektorska funkcija, skalarna funkcija, krivulje, ploskve, mnogoterni integral, krivuljni integral, ploskovni integral
Place of publishing:Maribor
Place of performance:Maribor
Publisher:Univerza v Mariboru, Univerzitetna založba
Year of publishing:2023
Year of performance:2023
Number of pages:1 spletni vir (1 datoteka PDF)
PID:20.500.12556/DKUM-84794 New window
ISBN:978-961-286-764-5
UDC:514.742.4(075.8)(0.034.2)
COBISS.SI-ID:159473411 New window
DOI:10.18690/um.fs.2.2023 New window
Publication date in DKUM:25.07.2023
Views:619
Downloads:126
Metadata:XML DC-XML DC-RDF
Categories:Misc.
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Licences

License:CC BY 4.0, Creative Commons Attribution 4.0 International
Link:http://creativecommons.org/licenses/by/4.0/
Description:This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.
Licensing start date:25.07.2023

Secondary language

Language:English
Title:Vector Calculus
Abstract:In textbook Vector calculus the authors, dr. Tina Sovič and dr. Simon Špacapan, give a detail study of vector and scalar functions of one and several variables. The textbook contains the following topics: curves and surfaces in Euclidian space, diferentiation of vector functions, double and triple integrals, line and surface integrals and relations between them. The aim of the textbook is to provide theory on vector functions and show aplications of this theory to problems that appear in engineering practice. Textbook is supplemented with several figures which vividly demonstrate the subject of study and dozens of examples which demostrate the use of theory in exercises. Additionaly, the textbook contains several exercises which students should so Ive on their own.
Keywords:vector function, scalar function, curves, surfaces, multiple integral, line integral, surface integral


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