書目名稱 | Differentiability in Banach Spaces, Differential Forms and Applications | 編輯 | Celso Melchiades Doria | 視頻video | http://file.papertrans.cn/279/278626/278626.mp4 | 概述 | The differential forms formalism is explained through the classical theorems of integrations and applied to obtain topological invariants.Includes applications to the study of harmonic functions and t | 圖書封面 |  | 描述 | .This book is divided into two parts, the first one to study the theory of differentiable functions between Banach spaces and the second to study the differential form formalism and to address the Stokes‘ Theorem and its applications. Related to the first part, there is an introduction to the content of Linear Bounded Operators in Banach Spaces with classic examples of compact and Fredholm operators, this aiming to define the derivative of Fréchet and to give examples in Variational Calculus and to extend the results to Fredholm maps. The Inverse Function Theorem is explained in full details to help the reader to understand the proof details and its motivations. The inverse function theorem and applications make up this first part. The text contains an elementary approach to Vector Fields and Flows, including the Frobenius Theorem. The Differential Forms are introduced and applied to obtain the Stokes Theorem and to define De Rham cohomology groups. As an application, the finalchapter contains an introduction to the Harmonic Functions and a geometric approach to Maxwell‘s equations of electromagnetism.. | 出版日期 | Textbook 2021 | 關(guān)鍵詞 | Banach Space; Differential of Functions; Differential Forms; Harmonic Functions; Harmonic Forms; De Rham | 版次 | 1 | doi | https://doi.org/10.1007/978-3-030-77834-7 | isbn_softcover | 978-3-030-77836-1 | isbn_ebook | 978-3-030-77834-7 | copyright | Springer Nature Switzerland AG 2021 |
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書目名稱Differentiability in Banach Spaces, Differential Forms and Applications影響因子(影響力) 
書目名稱Differentiability in Banach Spaces, Differential Forms and Applications影響因子(影響力)學(xué)科排名 
書目名稱Differentiability in Banach Spaces, Differential Forms and Applications網(wǎng)絡(luò)公開度 
書目名稱Differentiability in Banach Spaces, Differential Forms and Applications網(wǎng)絡(luò)公開度學(xué)科排名 
書目名稱Differentiability in Banach Spaces, Differential Forms and Applications被引頻次 
書目名稱Differentiability in Banach Spaces, Differential Forms and Applications被引頻次學(xué)科排名 
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書目名稱Differentiability in Banach Spaces, Differential Forms and Applications年度引用學(xué)科排名 
書目名稱Differentiability in Banach Spaces, Differential Forms and Applications讀者反饋 
書目名稱Differentiability in Banach Spaces, Differential Forms and Applications讀者反饋學(xué)科排名 
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