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Functional Analysis
- Fundamentals and Applications
Engelsk
Bogcover for Functional Analysis af Michel Willem, 9783031091513
Specifikationer
Sprog:
Engelsk
Sider:
251
ISBN-13:
9783031091513
Indbinding:
Paperback
ISBN-10:
3031091515
Udg. Dato:
28 jan 2024
Størrelse i cm:
23,5 x 15,5
Serie:
Cornerstones
Oplagsdato:
28 jan 2024
Forfatter(e):

Functional Analysis

- Fundamentals and Applications
Engelsk
Paperback 2024
Format:

Bog beskrivelse

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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Specifikationer
Sprog:
Engelsk
Sider:
251
ISBN-13:
9783031091513
Indbinding:
Paperback
ISBN-10:
3031091515
Udg. Dato:
28 jan 2024
Størrelse i cm:
23,5 x 15,5
Serie:
Cornerstones
Oplagsdato:
28 jan 2024
Forfatter(e):
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