Differentiability in Banach Spaces, Differential Forms and Applications

Name: Differentiability in Banach Spaces, Differential Forms and Applications
Brand: Springer Nature Switzerland AG
SKU: 9783030778361
Price: 1120 CZK
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Autor: Celso Melchiades Doria

Jazyk:

Vazba: Brožovaná

Vydavatel: Springer Nature Switzerland AG

Dostupnost: Skladem u dodavatele

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This book is divided into two parts, the first one to study the theory of differentiable functions b...

Informace o knize

Autor

Celso Melchiades Doria

Jazyk

Angličtina

Vazba

Kniha - Brožovaná

Vydáno

2022

Stránek

362

EAN

9783030778361

Enbook ID

39439087

Vydavatel

Springer Nature Switzerland AG

Hmotnost

575

Rozměry

155 x 235 x 21

Kompletní popis

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.

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Differentiability in Banach Spaces, Differential Forms and Applications

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