TY - BOOK AU - Kesavan,S. TI - Measure and Integration T2 - Texts and Readings in Mathematics, SN - 9789386279774 (Pbk) U1 - 515.42 K48M 23 PY - 2019/// CY - New Delhi PB - Hindustan Book Agency KW - Functional analysis KW - Measure theory KW - Measure and Integration KW - Functional Analysis N1 - 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 N2 - 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 ER -