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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
Links to Related Works
Subject References:
Functional Analysis
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Measure and Integration
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Measure theory
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Authors:
Kesavan, Srinivasan
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Corporate Authors:
SpringerLink (Online service)
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Series:
Texts and readings in mathematics
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Classification:
515.42
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515.42 (DDC 23)
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