Fr. 83.00

Functional Analysis - Fundamentals and Applications

English · Paperback / Softback

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Description

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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.

List of contents

Preface.- Distance.- The Integral.- Norms.- Lebesgue Spaces.- Duality.- Sobolev Spaces.-Capacity.- Elliptic Problems.- Appendix: Topics in Calculus.- Epilogue: Historical Notes on Functional Analysis.

About the author










Michel Willem is Full Professor Emeritus at ¿Université catholique de Louvain, Belgium.

Product details

Authors Michel Willem
Publisher Springer, Berlin
 
Languages English
Product format Paperback / Softback
Released 28.01.2024
 
EAN 9783031091513
ISBN 978-3-0-3109151-3
No. of pages 251
Dimensions 155 mm x 14 mm x 235 mm
Illustrations XV, 251 p. 3 illus.
Series Cornerstones
Subject Natural sciences, medicine, IT, technology > Mathematics > Analysis

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