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Graduate Texts in Mathematics

Real and Functional Analysis

Authors: Lang, Serge

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About this Textbook

This book is meant as a text for a first year graduate course in analysis. Any standard course in undergraduate analysis will constitute sufficient preparation for its understanding, for instance, my Undergraduate Anal­ ysis. I assume that the reader is acquainted with notions of uniform con­ vergence and the like. In this third edition, I have reorganized the book by covering inte­ gration before functional analysis. Such a rearrangement fits the way courses are taught in all the places I know of. I have added a number of examples and exercises, as well as some material about integration on the real line (e.g. on Dirac sequence approximation and on Fourier analysis), and some material on functional analysis (e.g. the theory of the Gelfand transform in Chapter XVI). These upgrade previous exercises to sections in the text. In a sense, the subject matter covers the same topics as elementary calculus, viz. linear algebra, differentiation and integration. This time, however, these subjects are treated in a manner suitable for the training of professionals, i.e. people who will use the tools in further investiga­ tions, be it in mathematics, or physics, or what have you. In the first part, we begin with point set topology, essential for all analysis, and we cover the most important results.

Table of contents (23 chapters)

Table of contents (23 chapters)

Buy this book

eBook $54.99
price for USA in USD (gross)
  • ISBN 978-1-4612-0897-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $74.95
price for USA in USD
  • ISBN 978-0-387-94001-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $74.95
price for USA in USD
  • ISBN 978-1-4612-6938-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Real and Functional Analysis
Authors
Series Title
Graduate Texts in Mathematics
Series Volume
142
Copyright
1993
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York, Inc.
eBook ISBN
978-1-4612-0897-6
DOI
10.1007/978-1-4612-0897-6
Hardcover ISBN
978-0-387-94001-4
Softcover ISBN
978-1-4612-6938-0
Series ISSN
0072-5285
Edition Number
3
Number of Pages
XIV, 580
Additional Information
Originally published by Addison Wesley, 1983
Topics