Measure and Integration by S. Kesavan.

By:

Kesavan, S

Series: Texts and Readings in MathematicsPublication details: New Delhi: Hindustan Book Agency, 2019.Description: xii, 239 pISBN:

9789386279774 (Pbk)

Subject(s):

Additional physical formats: Printed edition:: No titleDDC classification:

515.42 K48M 23

Contents:

Chapter 1. Measure -- Chapter 2. The Lebesgue measure -- Chapter 3. Measurable functions -- Chapter 4. Convergence -- Chapter 5. Integration -- Chapter 6. Differentiation -- Chapter 7. Change of variable -- Chapter 8. Product spaces -- Chapter 9. Signed measures -- Chapter 10. Lp spaces.

Summary: 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.

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Holdings
Item type	Current library	Collection	Call number	Status	Date due	Barcode
Books	Central Library, IISER Bhopal Reference Section	Reference	515.42 K48M (Browse shelf(Opens below))	Not For Loan		G0576
Books	Central Library, IISER Bhopal General Section		515.42 K48M (Browse shelf(Opens below))	Available		G0577

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Previous	515.42 B27M2 Measure theory and integration	515.42 B284M Modern theory of integration	515.42 B45M Measure and Integration	515.42 K48M Measure and Integration	515.42 K839F From Measures to Itô Integrals	515.42 M69G Geometry of sets and measures in Euclidean spaces :	515.42 SC33M Measures, Integrals and Martingales	Next

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.

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