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Carte Functional Analysis Michel Willem

Functional Analysis

Fundamentals and Applications

Autor: Michel Willem
Limbă: engleză
Legare: Copertă tare
Editura: Springer, Berlin
Disponibilitate: În depozitul extern
Expediem în 10-13 zile
325.05 lei
This textbook presents the principles of functional analysis in a clear and concise way. The first t...

Informații despre carte

Autor
Michel Willem
Limbă
engleză
Legare
Carte - Copertă tare
Publicat
2023
Pagini
251
EAN
9783031091483
Enbook ID
39236408
Editura
Springer, Berlin
Greutate
553
Dimensiuni
155 x 235

Descriere completă

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-Szegö 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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