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Universitext

An Introductory Course in Functional Analysis

Authors: Bowers, Adam, Kalton, Nigel J.

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  • Presents the basics of functional analysis according to Nigel Kalton, a leader in the field
  • Enables the reader to appreciate and apply the theory by explaining both the why and how of the subject's development
  • Gives novel proofs of major theorems, such as the HahnBanach theorem, Schauder's theorem, and the MilmanPettis theorem
  • Contains over 150 exercises to develop and enrich the reader's understanding of the subject
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eBook $59.99
price for USA in USD
  • ISBN 978-1-4939-1945-1
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  • Immediate eBook download after purchase
Softcover $74.99
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About this Textbook

Based on a graduate course by the celebrated analyst Nigel Kalton, this well-balanced introduction to functional analysis makes clear not only how, but why, the field developed. All major topics belonging to a first course in functional analysis are covered. However, unlike traditional introductions to the subject, Banach spaces are emphasized over Hilbert spaces, and many details are presented in a novel manner, such as the proof of the HahnBanach theorem based on an inf-convolution technique, the proof of Schauder's theorem, and the proof of the MilmanPettis theorem.

With the inclusion of many illustrative examples and exercises, An Introductory Course in Functional Analysis equips the reader to apply the theory and to master its subtleties. It is therefore well-suited as a textbook for a one- or two-semester introductory course in functional analysis or as a companion for independent study.

About the authors

Nigel Kalton (1946–2010) was Curators' Professor of Mathematics at the University of Missouri. Adam Bowers is a mathematics lecturer at the University of California, San Diego.

Reviews

“The text is very well written. Great care is taken to discuss interrelations of results. … Each chapter ends with well selected exercises, typically around 20 exercises per chapter. … I believe that this book is also suitable for self-study by an interested student. It can also serve as an excellent, concise reference for researchers in any area of mathematics seeking to recall/clarify fundamental concepts/results from functional analysis, in their proper context.” (Beata Randrianantoanina, zbMATH 1328.46001, 2016)

“The book is a nicely and economically designed introduction to functional analysis, with emphasis on Banach spaces, that is well-suited for a one- or two-semester course.” (M. Kunzinger, Monatshefte für Mathematik, Vol. 181, 2016)


Table of contents (8 chapters)

Table of contents (8 chapters)

Buy this book

eBook $59.99
price for USA in USD
  • ISBN 978-1-4939-1945-1
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $74.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
An Introductory Course in Functional Analysis
Authors
Series Title
Universitext
Copyright
2014
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media, LLC, part of Springer Nature
Distribution Rights
Distribution rights for India: Researchco Book Centre, New Delhi, India
eBook ISBN
978-1-4939-1945-1
DOI
10.1007/978-1-4939-1945-1
Softcover ISBN
978-1-4939-1944-4
Series ISSN
0172-5939
Edition Number
1
Number of Pages
XVI, 232
Number of Illustrations
2 b/w illustrations
Topics

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