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Advanced Calculus Fundamentals of Mathematics最新文献

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Vector-Valued Functions 向量值函数
Advanced Calculus Fundamentals of Mathematics Pub Date : 2019-07-30 DOI: 10.2174/9789811415081119010010
G. Strang, E. Herman
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引用次数: 0
List of Symbols 符号清单
Advanced Calculus Fundamentals of Mathematics Pub Date : 2019-07-30 DOI: 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}
引用次数: 0
Integration Over Unbounded Regions 无界区域上的积分
Advanced Calculus Fundamentals of Mathematics Pub Date : 2019-07-30 DOI: 10.2174/9789811415081119010012
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引用次数: 0
Integration Over Bounded Regions 有界区域上的积分
Advanced Calculus Fundamentals of Mathematics Pub Date : 2019-07-30 DOI: 10.2174/9789811415081119010011
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引用次数: 0
Geometric Algebra 几何代数
Advanced Calculus Fundamentals of Mathematics Pub Date : 2019-07-30 DOI: 10.1142/9789814449342_0005
Dr Chris Doran
{"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}
引用次数: 468
Integration Over Curves and Surfaces 曲线和曲面上的积分
Advanced Calculus Fundamentals of Mathematics Pub Date : 2019-07-30 DOI: 10.2174/9789811415081119010013
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引用次数: 0
Solutions for Chapters 章节解决方案
Advanced Calculus Fundamentals of Mathematics Pub Date : 2019-07-30 DOI: 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}
引用次数: 0
Theorems of Vector Calculus 向量微积分定理
Advanced Calculus Fundamentals of Mathematics Pub Date : 2019-07-30 DOI: 10.2174/9789811415081119010014
J. Breen
{"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}
引用次数: 0
Vector Algebra 向量代数
Advanced Calculus Fundamentals of Mathematics Pub Date : 2019-07-30 DOI: 10.2174/9789811415081119010007
{"title":"Vector Algebra","authors":"","doi":"10.2174/9789811415081119010007","DOIUrl":"https://doi.org/10.2174/9789811415081119010007","url":null,"abstract":"","PeriodicalId":176999,"journal":{"name":"Advanced Calculus Fundamentals of Mathematics","volume":"138 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":"127381746","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}
引用次数: 0
Theorems of Differential Forms 微分形式定理
Advanced Calculus Fundamentals of Mathematics Pub Date : 2019-07-30 DOI: 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}
引用次数: 0
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