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Measure and Integration

  • S.┬áKesavan (emeritus)
Textbook

Part of the Texts and Readings in Mathematics book series (TRIM)

Table of contents

  1. Front Matter
    Pages I-viii
  2. S. Kesavan
    Pages 9-29
  3. S. Kesavan
    Pages 30-53
  4. S. Kesavan
    Pages 54-67
  5. S. Kesavan
    Pages 68-80
  6. S. Kesavan
    Pages 81-117
  7. S. Kesavan
    Pages 118-141
  8. S. Kesavan
    Pages 142-155
  9. S. Kesavan
    Pages 156-177
  10. S. Kesavan
    Pages 178-195
  11. S. Kesavan
    Pages 196-234
  12. Back Matter
    Pages 235-240

About this book

Introduction

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.

Keywords

Lebesgue measure Measurable functions Convergence Integration Dierentiation Signed measures Product spaces Lp spaces

Authors and affiliations

  • S.┬áKesavan (emeritus)
    • 1
  1. 1.Institute of Mathematical SciencesChennaiIndia

Bibliographic information

  • DOI https://doi.org/10.1007/978-981-13-6678-9
  • Copyright Information Hindustan Book Agency 2019 and Springer Nature Singapore Pte Ltd. 2019
  • Publisher Name Springer, Singapore
  • eBook Packages Mathematics and Statistics
  • Online ISBN 978-981-13-6678-9
  • Series Print ISSN 2366-8717
  • Series Online ISSN 2366-8725
  • Buy this book on publisher's site