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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis
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Measure and Integral - Volume 1 (Paperback, Softcover reprint of the original 1st ed. 1988)
Loot Price: R1,500
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Measure and Integral - Volume 1 (Paperback, Softcover reprint of the original 1st ed. 1988)
Series: Graduate Texts in Mathematics, 116
Expected to ship within 10 - 15 working days
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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."
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