Lebesgue Measure and Integration, 2nd Edition - Softcover

P.K. Jain; V.P. Gupta; Pankaj Jain

9781848290648: Lebesgue Measure and Integration, 2nd Edition

Softcover

ISBN 10: 1848290640 ISBN 13: 9781848290648

Publisher: Anshan Publishers, 2012

This is the second edition of a successful textbook intended to provide a basic course in Lebesgue measure and integration for honours and post graduate students. Meticulous care has been taken to give detailed explanations of the reasons of worked content and of the methods used, together with numerous examples and counter examples throughout the book.

Each topic has been presented in an easy, lucid style, for ease of understanding. The material has been arranged by sections, spread through seven chapters. The book opens with a chapter on preliminaries discussing basic concepts and results which will be taken for granted later in the text. It is followed by chapters on Infinite Sets, Measurable Sets, Measurable Functions, Lebesgue Integral, Differentiation and Integration, and the Lebesgue Lp Spaces, a chapter that will lend itself to applications within the field of functional analysis. Each chapter also contains a set of graded problems, with hints where necessary to help find the solutions.

Contents:

Preliminaries
Infinite Sets
Measurable Sets
Measurable Functions
Lebesgue Integral
Differentiation and Integration
Lebesgue Lp Spaces

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About the Author:

Pawan Kumar Jain (b. 1942) Fellow of the National Academy of Sciences (F.N.A.Sc); U.G.C. - Emeritus Fellow and formerly, Professor and Head, Department of Mathematics, University of Delhi, having teaching and research experience of 43 years, has published 130 research papers and 12 expository articles in areas of Complex Analysis, Functional Analysis, Sobolev Spaces, Hardy-type Inequalities and Operators, Theory of Frames; supervised 24 Ph.Ds and 27 M.Phil.s; published six textbooks and edited twelve volumes. He has travelled widely in India and abroad for academic activities; besides his visits to USA, Canada, Germany, Kuwait, Sudan, Tanzania, Iran, Hong Kong, Jordan, China and Pakistan. He was nominated by the Indian National Science Academy to visit U.K. for three weeks during 2000-01 under the Exchange of Scientists Programme between INSA and Royal Society of London. He was awarded Visiting Professorship at Yarmouk University under the Joint Professorship Programme in Science and Sustainable Development of ISCU/TWAS/UNESCO/CSE/ Earth Council for a period of five years (1996-01). By now he has delivered several invited talks/colloquium lectures in India and abroad including the lectures at the University of Sussex, Imperial College of London and University of Oxford in UK; Auburn University, Tuskegee University and Clemson University in USA; McMaster University in Canada, Chinese University of Hong Kong. He was a member on the Curriculum Development Committee in Mathematics appointed by the UGC to frame syllabi at UG and PG levels. He has worked on several academic bodies/committees of UGC, DST, CSIR, MHRD, NCERT etc.

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