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  3. Funktionsanalyse og transformation

Differentiability in Banach Spaces, Differential Forms and Applications

Af: Celso Melchiades Doria Engelsk Paperback

Differentiability in Banach Spaces, Differential Forms and Applications

Af: Celso Melchiades Doria Engelsk Paperback
Tjek vores konkurrenters priser

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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Tjek vores konkurrenters priser

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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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 362
ISBN-13: 9783030778361
Indbinding: Paperback
Udgave:
ISBN-10: 3030778363
Kategori: Funktionsanalyse og transformation
Udg. Dato: 21 jul 2022
Længde: 0mm
Bredde: 155mm
Højde: 235mm
Forlag: Springer Nature Switzerland AG
Oplagsdato: 21 jul 2022
Forfatter(e): Celso Melchiades Doria
Forfatter(e) Celso Melchiades Doria

Kategori Funktionsanalyse og transformation

ISBN-13 9783030778361

Sprog Engelsk

Indbinding Paperback

Sider 362

Udgave

Længde 0mm

Bredde 155mm

Højde 235mm

Udg. Dato 21 jul 2022

Oplagsdato 21 jul 2022

Forlag Springer Nature Switzerland AG

Kategori sammenhænge