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Lebesgue Measure and Integration Theory: Foundations and Solved Exercises

Lebesgue Measure and Integration Theory: Foundations and Solved Exercises

Paperback

General Mathematics

ISBN10: 0443403260
ISBN13: 9780443403262
Publisher: Academic Press
Published: Mar 26 2026
Pages: 374
Weight: 2.20
Height: 0.80 Width: 7.49 Depth: 9.30
Language: English
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.

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General Mathematics