Real and Functional Analysis - Graduate Texts in Mathematics
Real and Functional Analysis - Graduate Texts in Mathematics
paperback
Published:
23 October, 2012
paperback
Published:
23 October, 2012
Standard worldwide delivery by
Tue, July 14 - Fri, July 17
Order within
0
Popular Books by Serge Lang
View All Books by Serge Lang
Description
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.
More Details
| Type | Book |
|---|---|
| ISBN13 | 9781461269380 |
| ISBN10 | 1461269385 |
| Number Of Pages | 580 |
| Item Weight | 1000 g |
| Publisher / Reseller | Springer-Verlag New York Inc. |
| Format | paperback |
| Edition | Third Edition 1993 |
See More +