Functional Analysis: Fundamentals and Applications (Cornerstones) - Tapa blanda

Willem, Michel

 
9783031091513: Functional Analysis: Fundamentals and Applications (Cornerstones)
Tapa blanda
ISBN 10: 3031091515 ISBN 13: 9783031091513
Editorial: Birkhäuser, 2024

Sinopsis

This textbook presents the principles of functional analysis in a clear and concise way. The first three chapters describe the general notions of distance, integral, and norm, as well as their relations. Fundamental examples are provided in the three chapters that follow: Lebesgue spaces, dual spaces, and Sobolev spaces. Two subsequent chapters develop applications to capacity theory and elliptic problems. In particular, the isoperimetric inequality and the Pólya-Szegő and Faber-Krahn inequalities are proved by purely functional methods. The epilogue contains a sketch of the history of functional  analysis in relation to integration and differentiation. Starting from elementary analysis and introducing relevant research, this work is an excellent resource for students in mathematics and applied mathematics.

The second edition of Functional Analysis includes several improvements as well as the addition of supplementary material. Specifically, the coverage of advanced calculus and distribution theory has been completely rewritten and expanded. New proofs, theorems, and applications have been added as well for readers to explore.

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Acerca del autor

Michel Willem is Full Professor Emeritus at ​Université catholique de Louvain, Belgium.

De la contraportada

This textbook presents the principles of functional analysis in a clear and concise way. The first three chapters describe the general notions of distance, integral, and norm, as well as their relations. Fundamental examples are provided in the three chapters that follow: Lebesgue spaces, dual spaces, and Sobolev spaces. Two subsequent chapters develop applications to capacity theory and elliptic problems. In particular, the isoperimetric inequality and the Pólya-Szego and Faber-Krahn inequalities are proved by purely functional methods. The epilogue contains a sketch of the history of functional  analysis in relation to integration and differentiation. Starting from elementary analysis and introducing relevant research, this work is an excellent resource for students in mathematics and applied mathematics.

The second edition of Functional Analysis includes several improvements as well as the addition of supplementary material. Specifically, the coverage of advanced calculus and distribution theory has been completely rewritten and expanded. New proofs, theorems, and applications have been added as well for readers to explore.


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Editorial
Birkhäuser
Año de publicación
2024
Idioma
Inglés
ISBN 10 
3031091515
ISBN 13 
9783031091513
Encuadernación
Tapa blanda
Número de edición
2
Número de páginas
268
Contacto del fabricante
no disponible
Persona responsable
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Hamburg
Alemania

Otras ediciones populares con el mismo título

9783031091483: Functional Analysis: Fundamentals and Applications (Cornerstones)

Edición Destacada

ISBN 10:  3031091485 ISBN 13:  9783031091483
Editorial: Birkhäuser, 2023
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