๐”– Scriptorium
โœฆ   LIBER   โœฆ
๐Ÿ“

Measure and Integration

โœ Scribed by Hari Bercovici, Arlen Brown, Carl Pearcy

Publisher
Springer
Year
2016
Tongue
English
Leaves
306
Edition
1st ed.
Category
Library
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โœฆ Synopsis

This book covers the material of a one year course in real analysis.ย  It includes an original axiomatic approach to Lebesgue integration which the authors have found to be effective in the classroom.ย  Each chapter contains numerous examples and an extensive problem set which expands considerably the breadth of the material covered in the text.ย  Hints are included for some of the more difficult problems. ย  ย  ย  ย  ย  ย  ย  ย 

โœฆ Table of Contents

Front Matter....Pages i-xi
Rings of sets....Pages 1-18
Measurability....Pages 19-42
Integrals and measures....Pages 43-73
Convergence theorems for Lebesgue integrals....Pages 75-104
Existence and uniqueness of measures....Pages 105-132
Signed measures, complex measures, and absolute continuity....Pages 133-165
Measure and topology....Pages 167-182
Product measures....Pages 183-201
The L p spaces....Pages 203-239
Fourier analysis....Pages 241-263
Standard measure spaces....Pages 265-284
Back Matter....Pages 285-300

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