{"title":"CIRCULATION AND GREEN’S THEOREM","authors":"","doi":"10.1142/9789811222573_0003","DOIUrl":"https://doi.org/10.1142/9789811222573_0003","url":null,"abstract":"","PeriodicalId":114943,"journal":{"name":"Basic Insights in Vector Calculus","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132032242","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"REVIEWING SOME CALCULUS ESSENTIALS","authors":"","doi":"10.1142/9789811222573_0001","DOIUrl":"https://doi.org/10.1142/9789811222573_0001","url":null,"abstract":"","PeriodicalId":114943,"journal":{"name":"Basic Insights in Vector Calculus","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126971081","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"FLUX AND DIVERGENCE","authors":"S. Hassani","doi":"10.1007/978-0-387-09504-2_13","DOIUrl":"https://doi.org/10.1007/978-0-387-09504-2_13","url":null,"abstract":"","PeriodicalId":114943,"journal":{"name":"Basic Insights in Vector Calculus","volume":"191 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116137124","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"STOKES’ THEOREM","authors":"C. E. Gutiérrez","doi":"10.1142/9789811222573_0007","DOIUrl":"https://doi.org/10.1142/9789811222573_0007","url":null,"abstract":"Here curlnF(P) is defined as follows. Let P ∈ R3 and n be a unit vector and let S be a surface through P having normal n at P. Consider a closed curve C contained in S and circulating counterclockwise around the point P, and let A be the area of the portion of surface enclosed by C. Then curlnF(P) is the limit of the ratio between the line integral of F over C over the area of A when C shrinks to P, that is,","PeriodicalId":114943,"journal":{"name":"Basic Insights in Vector Calculus","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130874971","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"2-D FLUX AND DIVERGENCE","authors":"","doi":"10.1142/9789811222573_0004","DOIUrl":"https://doi.org/10.1142/9789811222573_0004","url":null,"abstract":"","PeriodicalId":114943,"journal":{"name":"Basic Insights in Vector Calculus","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125435838","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"RELATIVE CHANGE IN VOLUMES AND IN INCREMENTS","authors":"","doi":"10.1142/9789811222573_0008","DOIUrl":"https://doi.org/10.1142/9789811222573_0008","url":null,"abstract":"","PeriodicalId":114943,"journal":{"name":"Basic Insights in Vector Calculus","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128718441","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}