Functional Analysis: Fundamentals and Applications

Willem, Michel

ISBN 10: 3031091507 ISBN 13: 9783031091506

Published by Birkhäuser, 2023

Language: English

Condition: New Soft cover

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Bibliographic Details

Title

Functional Analysis: Fundamentals and Applications

Publisher

Birkh�user

Publication Date

2023

Language

English

ISBN 10

3031091507

ISBN 13

9783031091506

Binding

Soft cover

Condition

New

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About this title

Synopsis

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 P�lya-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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