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Functional Analysis [recurso electrónico] Fundamentals and Applications by Michel Willem (auth.) is a nonfiction available to read on EtoBox.

What is Functional Analysis [recurso electrónico] Fundamentals and Applications about?

The goal of this work is to present the principles of functional analysis in a clear and concise way. The first three chapters of __Functional Analysis: Fundamentals and Applications__ describe the general notions of distance, integral and norm, as well as their relations. The three chapters that follow deal with fundamental examples: 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 with integration and differentiation. Starting from elementary analysis and introducing relevant recent research, this work is an excellent resource for students in mathematics and applied mathematics.

Who reads Functional Analysis [recurso electrónico] Fundamentals and Applications?

Author

Michel Willem (auth.)

Publisher

Springer New York Imprint : Birkhäuser

Published

2013

Language

EN

ISBN

9781461470038

Category

nonfiction

Subjects

Mathematics, Science, Stem