Author	Kesavan, S. author. Author. http://id.loc.gov/vocabulary/relators/aut
Title	Measure and Integration [electronic resource] / by S. Kesavan
Imprint	Singapore : Springer Singapore : Imprint: Springer, 2019
Edition	1st ed. 2019
Connect to	https://doi.org/10.1007/978-981-13-6678-9
Descript	XX, 232 p. 2 illus. online resource

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

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

1. Mathematics
2. Functional analysis
3. Measure and Integration. http://scigraph.springernature.com/things/product-market-codes/M12120
4. Functional Analysis. http://scigraph.springernature.com/things/product-market-codes/M12066