{"title":"Generalization of differential operators by using differential forms","authors":"E. Dil","doi":"10.7212/ZKUFBD.V8I1.739","DOIUrl":null,"url":null,"abstract":"In this study, we derive the mostly used differential operators in physics, such as gradient, divergence, curl and Laplacian in different coordinate systems; Cartesian, cylindrical and spherical coordinate systems by using the differential forms. Also, we finally derive these differential operators for the generalized coordinates.","PeriodicalId":17742,"journal":{"name":"Karaelmas Science and Engineering Journal","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2018-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Karaelmas Science and Engineering Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7212/ZKUFBD.V8I1.739","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this study, we derive the mostly used differential operators in physics, such as gradient, divergence, curl and Laplacian in different coordinate systems; Cartesian, cylindrical and spherical coordinate systems by using the differential forms. Also, we finally derive these differential operators for the generalized coordinates.
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