Measure and Integration
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
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S. Kesavan
Measure and Integration
Texts and Readings in Mathematics Volume 77
Advisory Editor C. S. Seshadri, Chennai Mathematical Institute, Chennai Managing Editor Rajendra Bhatia, Ashoka University, Sonepat Editors Manindra Agrawal, Indian Institute of Technology, Kanpur V. Balaji, Chennai Mathematical Institute, Chennai R. B. Bapat, Indian Statistical Institute, New Delhi V. S. Borkar, Indian Institute of Technology, Mumbai Apoorva Khare, Indian Institute of Sciences, Bangalore T. R. Ramadas, Chennai Mathematical Institute, Chennai V. Srinivas, Tata Institute of Fundamental Research, Mumbai Technical Editor P. Vanchinathan, Vellore Institute of Technology, Chennai
The Texts and Readings in Mathematics series publishes high-quality textbooks, research-level monographs, lecture notes and contributed volumes. Undergraduate and graduate students of mathematics, research scholars, and teachers would find this book series useful. The volumes are carefully written as teaching aids and highlight characteristic features of the theory. The books in this series are co-published with Hindustan Book Agency, New Delhi, India.
More information about this series at http://www.springer.com/series/15141
S. Kesavan (emeritus)
Measure and Integration
123
S. Kesavan (emeritus) Institute of Mathematical Sciences Chennai, Tamil Nadu, India
ISSN 2366-8725 (electronic) Texts and Readings in Mathematics ISBN 978-981-13-6678-9 (eBook) https://doi.org/10.1007/978-981-13-6678-9 Library of Congress Control Number: 2019932597 This work is a co-publication with Hindustan Book Agency, New Delhi, licensed for sale in all countries in electronic form only. Sold and distributed in print across the world by Hindustan Book Agency, P-19 Green Park Extension, New Delhi 110016, India. ISBN: 978-93-86279-77-4 © Hindustan Book Agency 2019. © Hindustan Book Agency 2019 and Springer Nature Singapore Pte Ltd. 2019 This work is subject to copyright. All rights are reserved by the Publishers, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publishers, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publishers nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publishers remains neutral with regar
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