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โœฆ   LIBER   โœฆ
๐Ÿ“

Measure and Integration

โœ Scribed by S. Kesavan

Publisher
Springer
Year
2019
Tongue
English
Leaves
253
Series
Texts and Readings in Mathematics 77
Edition
1st
Category
Library
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โœฆ Synopsis

This book deals with topics on the theory of measure and integration. It starts with discussion on the Riemann integral and points out certain shortcomings, which motivate the theory of measure and the Lebesgue integral. Most of the material in this book can be covered in a one-semester introductory course. An awareness of basic real analysis and elementary topological notions, with special emphasis on the topology of the n-dimensional Euclidean space, is the pre-requisite for this book. Each chapter is provided with a variety of exercises for the students. The book is targeted to students of graduate- and advanced-graduate-level courses on the theory of measure and integration.

โœฆ Table of Contents

Front Matter ....Pages I-viii
Measure (S. Kesavan)....Pages 9-29
The Lebesgue measure (S. Kesavan)....Pages 30-53
Measurable functions (S. Kesavan)....Pages 54-67
Convergence (S. Kesavan)....Pages 68-80
Integration (S. Kesavan)....Pages 81-117
Differentiation (S. Kesavan)....Pages 118-141
Change of variable (S. Kesavan)....Pages 142-155
Product Spaces (S. Kesavan)....Pages 156-177
Signed measures (S. Kesavan)....Pages 178-195
Lp-spaces (S. Kesavan)....Pages 196-234
Back Matter ....Pages 235-240

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