Differentiability in Banach Spaces, Differential Forms and Applications - Tapa dura

Doria, Celso Melchiades

9783030778330: Differentiability in Banach Spaces, Differential Forms and Applications

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ISBN 10: 3030778339 ISBN 13: 9783030778330

Editorial: Springer, 2021

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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 Fr�chet 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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The author is Professor of Mathematics at the Universidade Federal de Santa Catarina where he is a faculty member since 1993. He holds a PhD title in Mathematics from the University of Warwick, England, under the supervision of Professor James Eells. His research interest lies on Global Analysis, concentrating on the geometry of Gauge Fields and its applications to the Topology and to the Geometry of differentiable manifolds. His scientific background includes a postdoctoral at the Mathematical Institute, Oxford University, England, and another at Michigan State University, USA.

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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 Fr�chet 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 chaptercontains an introduction to the Harmonic Functions and a geometric approach to Maxwell's equations of electromagnetism.

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Editorial: Springer
A�o de publicaci�n: 2021
Idioma: Ingl�s
ISBN 10: 3030778339
ISBN 13: 9783030778330
Encuadernaci�n: Tapa dura
N�mero de edici�n: 1
N�mero de p�ginas: 378
Contacto del fabricante: no disponible
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Differentiability in Banach Spaces, Differential Forms and Applications

Celso Melchiades Doria

Publicado por Springer International Publishing, 2021

ISBN 10: 3030778339 ISBN 13: 9783030778330

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Differentiability in Banach Spaces, Differential Forms and Applications

Doria, Celso Melchiades

Publicado por Springer, 2021

ISBN 10: 3030778339 ISBN 13: 9783030778330

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Differentiability in Banach Spaces, Differential Forms and Applications

Doria, Celso Melchiades

Publicado por Springer, Berlin|Springer International Publishing|Editora Ci�ncia Moderna|Springer, 2021

ISBN 10: 3030778339 ISBN 13: 9783030778330

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Condici�n: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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.This book is divi. N� de ref. del art�culo: 469418989

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Differentiability in Banach Spaces, Differential Forms and Applications

Celso Melchiades Doria

Publicado por Springer International Publishing Jul 2021, 2021

ISBN 10: 3030778339 ISBN 13: 9783030778330

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Buch. Condici�n: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 Fr�chet 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. 376 pp. Englisch. N� de ref. del art�culo: 9783030778330

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Differentiability in Banach Spaces, Differential Forms and Applications

Celso Melchiades Doria

Publicado por Springer International Publishing, Springer Nature Switzerland, 2021

ISBN 10: 3030778339 ISBN 13: 9783030778330

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Librería: AHA-BUCH GmbH, Einbeck, Alemania

Calificaci�n del vendedor: 5 de 5 estrellas

Buch. Condici�n: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 Fr�chet 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. N� de ref. del art�culo: 9783030778330

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