Description 
xiii, 213 pages : illustrations ; 24 cm. 
Content Type 
text 
Format 
volume 
Series 
Cornerstones, 2197182X 

Cornerstones (Birkhäuser Verlag)

Bibliography 
Includes bibliographical references (pages 205207) 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 PolyaSzego and FaberKrahn 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.


Mathematics.


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 
