Pub Date : 2019-07-30DOI: 10.2174/9789811415081119010006
{"title":"List of Symbols","authors":"","doi":"10.2174/9789811415081119010006","DOIUrl":"https://doi.org/10.2174/9789811415081119010006","url":null,"abstract":"","PeriodicalId":176999,"journal":{"name":"Advanced Calculus Fundamentals of Mathematics","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114965222","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}
Pub Date : 2019-07-30DOI: 10.2174/9789811415081119010012
{"title":"Integration Over Unbounded Regions","authors":"","doi":"10.2174/9789811415081119010012","DOIUrl":"https://doi.org/10.2174/9789811415081119010012","url":null,"abstract":"","PeriodicalId":176999,"journal":{"name":"Advanced Calculus Fundamentals of Mathematics","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130572088","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}
Pub Date : 2019-07-30DOI: 10.2174/9789811415081119010011
{"title":"Integration Over Bounded Regions","authors":"","doi":"10.2174/9789811415081119010011","DOIUrl":"https://doi.org/10.2174/9789811415081119010011","url":null,"abstract":"","PeriodicalId":176999,"journal":{"name":"Advanced Calculus Fundamentals of Mathematics","volume":"82 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132441453","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}
Pub Date : 2019-07-30DOI: 10.1142/9789814449342_0005
Dr Chris Doran
Abstract algebra is the study of algebraic structures and include groups, rings, fields, modules, vector spaces, lattices, and algebras. The term abstract algebra was coined in the early 20th century to distinguish this area of study from the other parts of algebra.
{"title":"Geometric Algebra","authors":"Dr Chris Doran","doi":"10.1142/9789814449342_0005","DOIUrl":"https://doi.org/10.1142/9789814449342_0005","url":null,"abstract":"Abstract algebra is the study of algebraic structures and include groups, rings, fields, modules, vector spaces, lattices, and algebras. The term abstract algebra was coined in the early 20th century to distinguish this area of study from the other parts of algebra.","PeriodicalId":176999,"journal":{"name":"Advanced Calculus Fundamentals of Mathematics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122504721","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}
Pub Date : 2019-07-30DOI: 10.2174/9789811415081119010013
{"title":"Integration Over Curves and Surfaces","authors":"","doi":"10.2174/9789811415081119010013","DOIUrl":"https://doi.org/10.2174/9789811415081119010013","url":null,"abstract":"","PeriodicalId":176999,"journal":{"name":"Advanced Calculus Fundamentals of Mathematics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130732680","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}
Pub Date : 2019-07-30DOI: 10.2174/9789811415081119010017
{"title":"Solutions for Chapters","authors":"","doi":"10.2174/9789811415081119010017","DOIUrl":"https://doi.org/10.2174/9789811415081119010017","url":null,"abstract":"","PeriodicalId":176999,"journal":{"name":"Advanced Calculus Fundamentals of Mathematics","volume":"112 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123694318","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}
Pub Date : 2019-07-30DOI: 10.2174/9789811415081119010014
J. Breen
One of the more intimidating parts of vector calculus is the wealth of so-called fundamental theorems: i. The Gradient Theorem1 ii. Green’s Theorem iii. Stokes’ Theorem iv. The Divergence Theorem Understanding when and how to use each of these can be confusing and overwhelming. The following discussion is meant to give some insight as to how each of these theorems are related. Our guiding principle will be that the four theorems above arise as generalizations of the Fundamental Theorem of Calculus.
{"title":"Theorems of Vector Calculus","authors":"J. Breen","doi":"10.2174/9789811415081119010014","DOIUrl":"https://doi.org/10.2174/9789811415081119010014","url":null,"abstract":"One of the more intimidating parts of vector calculus is the wealth of so-called fundamental theorems: i. The Gradient Theorem1 ii. Green’s Theorem iii. Stokes’ Theorem iv. The Divergence Theorem Understanding when and how to use each of these can be confusing and overwhelming. The following discussion is meant to give some insight as to how each of these theorems are related. Our guiding principle will be that the four theorems above arise as generalizations of the Fundamental Theorem of Calculus.","PeriodicalId":176999,"journal":{"name":"Advanced Calculus Fundamentals of Mathematics","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117256238","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}
Pub Date : 2019-07-30DOI: 10.2174/9789811415081119010016
{"title":"Theorems of Differential Forms","authors":"","doi":"10.2174/9789811415081119010016","DOIUrl":"https://doi.org/10.2174/9789811415081119010016","url":null,"abstract":"","PeriodicalId":176999,"journal":{"name":"Advanced Calculus Fundamentals of Mathematics","volume":"40 3","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114024955","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}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：