Mainīgo maiņas formulas integrāļos un to lietojumi
| dc.contributor.advisor | Cibulis, Andrejs | en_US |
| dc.contributor.author | Gorjanovs, Georgijs | en_US |
| dc.contributor.other | Latvijas Universitāte. Fizikas un matemātikas fakultāte | en_US |
| dc.date.accessioned | 2015-03-24T08:57:20Z | |
| dc.date.accessioned | 2025-07-21T01:32:40Z | |
| dc.date.available | 2015-03-24T08:57:20Z | |
| dc.date.issued | 2011 | en_US |
| dc.description.abstract | šajā darbā mēs izvedīsim mainīgo maiņas formulas otrī veida līnijintegrāïiem un virsmas integrāļiem. Mēs ilustrēsim šo formulu lietojumus ar to, ka vienkāršosim Puankarē un Kronekera integrāļus, pierādīsim netriviālu identitāti, saistītu ar diveģences transformāciju un iegūsim transformāciju, kura saglabā lauka solenoidalitāti. | en_US |
| dc.description.abstract | In this work we derive change of variables formulae for line and surface integrals of vector fields (also known as, respectively, line and surface integrals of the second kind). Futhermore, we demonstrate the usage of these formulae by simplifying notable Poincare and Kroneckers integrals, proving a non-trivial identity concerning transfor- mation properties of the divergence and finally, obtaining a solenoidality-preserving transformation. | en_US |
| dc.identifier.other | 18940 | en_US |
| dc.identifier.uri | https://dspace.lu.lv/handle/7/27338 | |
| dc.language.iso | N/A | en_US |
| dc.publisher | Latvijas Universitāte | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Matemātika | en_US |
| dc.title | Mainīgo maiņas formulas integrāļos un to lietojumi | en_US |
| dc.title.alternative | Change of variables formulas in integrals and their applications | en_US |
| dc.type | info:eu-repo/semantics/bachelorThesis | en_US |