9781461470038-146147003X-Functional Analysis: Fundamentals and Applications (Cornerstones)

Functional Analysis: Fundamentals and Applications (Cornerstones)

ISBN-13: 9781461470038
ISBN-10: 146147003X
Edition: 2013
Author: Willem, Michel
Publication date: 2013
Publisher: Birkhäuser
Format: Hardcover 226 pages
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Book details

ISBN-13: 9781461470038
ISBN-10: 146147003X
Edition: 2013
Author: Willem, Michel
Publication date: 2013
Publisher: Birkhäuser
Format: Hardcover 226 pages

Summary

Acknowledged authors Willem, Michel wrote Functional Analysis: Fundamentals and Applications (Cornerstones) comprising 226 pages back in 2013. Textbook and eTextbook are published under ISBN 146147003X and 9781461470038. Since then Functional Analysis: Fundamentals and Applications (Cornerstones) textbook was available to sell back to BooksRun online for the top buyback price or rent at the marketplace.

Description

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.

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