Lebesgue Measure and Integration Theory
Foundations and Solved Exercises
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Product details:
- Publisher Elsevier Science
- Date of Publication 26 March 2026
- ISBN 9780443403262
- Binding Paperback
- No. of pages374 pages
- Size 235x191 mm
- Weight 450 g
- Language English 690
Categories
Long description:
Lebesgue Measure and Integration Theory: Foundations and Solved Exercises offers a thorough, engaging introduction to Lebesgue measure and the theory of integration for students of mathematics and physics. This book provides the complete theoretical underpinnings of this theory, with the corresponding proofs, adapted to the level of advanced undergraduate and graduate students in these disciplines. Beginning with a fundamental discussion of measure spaces, the book moves onto measurable and non-measurable sets, approximation of measurable sets, measurable functions, the Lebesgue integral, the relationship between differentiation and integration on R, and product measures, among other topics. Examples and solved exercises are included across chapters to reinforce understanding and application.
MoreTable of Contents:
1 Measure spaces and Lebesgue measure
2. Measurable functions
3. The Lebesgue Integral
4. The Relationship between Differentiation and Integration on R
5. Product measures