Cornerstones

Functional Analysis

Fundamentals and Applications

Authors: Willem, Michel

  • Presents the principles of functional analysis in a clear and concise way
  • Most competing titles are out of date  
  • Includes very recent simple proofs of the isoperimetric and the Faber-Krahn inequality, an elementary introduction to capacity theory, and a new perspective on the history of functional analysis ​
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eBook $54.99
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  • ISBN 978-1-4614-7004-5
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Hardcover $69.95
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  • ISBN 978-1-4614-7003-8
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About this Textbook

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.

Reviews

From the reviews:

“The book is a very good contribution to the literature in a classical field of analysis. It should be of interest to specialists in pure and applied functional analysis and it can be used by advanced graduate students whom it will bring to the forefront of research. The book also serves to prepare the student for more advanced topics in analysis, especially the modern theory of partial differential equations.” (Teodora-Liliana Rădulescu, zbMATH, Vol. 1284, 2014)


Table of contents (10 chapters)

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-1-4614-7004-5
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $69.95
price for USA
  • ISBN 978-1-4614-7003-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Functional Analysis
Book Subtitle
Fundamentals and Applications
Authors
Series Title
Cornerstones
Copyright
2013
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media, LLC
Distribution Rights
Distribution rights for India: Researchco Book Centre, New Delhi, India
eBook ISBN
978-1-4614-7004-5
DOI
10.1007/978-1-4614-7004-5
Hardcover ISBN
978-1-4614-7003-8
Series ISSN
2197-182X
Edition Number
1
Number of Pages
XIII, 213
Number of Illustrations and Tables
18 b/w illustrations
Topics