California State University, Northridge WordmarkOviatt Library WordmarkOviatt Library Catalog Wordmark
Author Willem, Michel, author.
Uniform Title Principes d'analyse Fonctionnelle. English
Title Functional analysis : fundamentals and applications / Michel Willem.
Published New York : Birkhäuser, [2013].
Book Cover
 Floor4  QA320 .W55 2013    IN PROCESSING
Description xiii, 213 pages : illustrations ; 24 cm.
Content Type text
Format volume
Series Cornerstones, 2197-182X
Cornerstones (Birkhäuser Verlag)
Bibliography Includes bibliographical references (pages 205-207) and indexes.
Contents The Integral -- Norm -- Lebesgue Spaces -- Duality -- Sobolev Spaces -- Capacity -- Elliptic Problems -- Appendix -- Epilogue.
Summary 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 Polya-Szego 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.
Subject Functional analysis.
Differential equations, Partial.
Related Names Translation of Willem, Michel. Principes d'analyse Fonctionnelle.
ISBN 9781461470038 hardback
146147003X hardback
9781461470045 electronic bk.
1461470048 electronic bk.
OCLC number 862613036