Differentiability in Banach Spaces Differential Forms and Applications is popular PDF and ePub book, written by Celso Melchiades Doria in 2021-07-19, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Differentiability in Banach Spaces Differential Forms and Applications can be Read Online from any device for your convenience.
Differentiability in Banach Spaces Differential Forms and Applications Book PDF Summary
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 final chapter contains an introduction to the Harmonic Functions and a geometric approach to Maxwell's equations of electromagnetism.
Detail Book of Differentiability in Banach Spaces Differential Forms and Applications PDF
- Author : Celso Melchiades Doria
- Release : 19 July 2021
- Publisher : Springer Nature
- ISBN : 9783030778347
- Genre : Mathematics
- Total Page : 362 pages
- Language : English
- PDF File Size : 8,7 Mb
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