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Measure and Integration

Measure and Integration
Catalogue Information
Field name Details
Dewey Class 515.42
Title Measure and Integration ([EBook]) / by S. Kesavan.
Author Kesavan, Srinivasan
Other name(s) SpringerLink (Online service)
Edition statement 1st ed. 2019.
Publication Singapore : Springer Singapore , 2019.
Physical Details XX, 232 pages. 2 illus. : online resource.
Series Texts and readings in mathematics
ISBN 9789811366789
Summary Note 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.:
Contents note 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.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site https://doi.org/10.1007/978-981-13-6678-9
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