Measure and Integral: Volume 1: 116 (Graduate Texts in Mathematics, 116) - Hardcover

Kelley, John L.; Srinivasan, T.P.

 
9780387966335: Measure and Integral: Volume 1: 116 (Graduate Texts in Mathematics, 116)
Hardcover
ISBN 10: 0387966331 ISBN 13: 9780387966335
Publisher: Springer, 1987

Synopsis

This is a systematic exposition of the basic part of the theory of mea­ sure and integration. The book is intended to be a usable text for students with no previous knowledge of measure theory or Lebesgue integration, but it is also intended to include the results most com­ monly used in functional analysis. Our two intentions are some what conflicting, and we have attempted a resolution as follows. The main body of the text requires only a first course in analysis as background. It is a study of abstract measures and integrals, and comprises a reasonably complete account of Borel measures and in­ tegration for R Each chapter is generally followed by one or more supplements. These, comprising over a third of the book, require some­ what more mathematical background and maturity than the body of the text (in particular, some knowledge of general topology is assumed) and the presentation is a little more brisk and informal. The material presented includes the theory of Borel measures and integration for ~n, the general theory of integration for locally compact Hausdorff spaces, and the first dozen results about invariant measures for groups. Most of the results expounded here are conventional in general character, if not in detail, but the methods are less so. The following brief overview may clarify this assertion.

"synopsis" may belong to another edition of this title.

Synopsis

This book is a systematic exposition of the theory of measure and integration. It is intendend for students, and also as a reference work. The body of the text can be read by a student with a firm background in analysis, whereas the supplements treat more advanced topics, and require somewhat more maturity. Although the results given here are the standard ones, the authors have taken a new approach, systematically exploiting the concepts of -ring and -simplicity.

"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
1987
Language
English
ISBN 10 
0387966331
ISBN 13 
9780387966335
Binding
Hardcover
Number of pages
160

Other Popular Editions of the Same Title

9783540966333: Measure and Integral: Volume 1

Featured Edition

ISBN 10:  3540966331 ISBN 13:  9783540966333
Publisher: Springer-Verlag Berlin and Heide..., 1988
Softcover