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Book Details
New
Measure and Integration,
Edition
1
Concepts, Examples, and Applications
Editors:
By Ahmed Ghatasheh, Steven Redolfi and Rudi Weikard
Publication Date:
01 Apr 2026
Measure and Integration: Examples, Concepts, and Applications instructs on core proofs, theorems, and approaches of real analysis as illustrated via compelling exercises and carefully crafted, practical examples. Following early chapters on core concepts and approaches of real analysis, the authors apply real analysis across integration on product spaces, radon functionals, bounded variation and lebesgue-stieltjes measures, convolutions, probability, and differential equations, among other topics.
From chapter one onward, students are asked to apply concepts to reinforce understanding and gain applied experience in real analysis. In particular, exercises challenge students to use key proofs of major real analysis theorems to encourage independent thinking, problem-solving, and new areas of research powered by real analysis.
From chapter one onward, students are asked to apply concepts to reinforce understanding and gain applied experience in real analysis. In particular, exercises challenge students to use key proofs of major real analysis theorems to encourage independent thinking, problem-solving, and new areas of research powered by real analysis.
Key Features
- Applies real analysis-based problem solving across a range of mathematical topics, from product spaces to radon functionals, bounded variation and lebesgue-stieltjes measures, convolutions, probability, and differential equations, among others
- Reinforces understanding of core concepts, proofs, and theorems of real analysis to encourage independent thinking
- Features additional exercises at the end of each chapter and solutions in an appendix
About the author
By Ahmed Ghatasheh, Assistant Professor of Mathematics, Philadelphia University, Jordan; Steven Redolfi, Model Validation Analyst, Regions Financial Corporation, USA and Rudi Weikard, Professor of Mathematics, University of Alabama, Birmingham, USA
1. Abstract Integration
2. Construction of Measures
3. Product Measures
4. Complex and Local Measures
5. The Lebesgue-Radon-Nikodym Theorem
6. Measures on Locally Compact Hausdorff Spaces
7. Local Lebesgue-Stieltjes Measures
8. The Fourier Transform
9. Probability
10. Linear ODEs with Measure Coefficients
11. The Boundary Behavior of Holomorphic Functions
12. Appendices
2. Construction of Measures
3. Product Measures
4. Complex and Local Measures
5. The Lebesgue-Radon-Nikodym Theorem
6. Measures on Locally Compact Hausdorff Spaces
7. Local Lebesgue-Stieltjes Measures
8. The Fourier Transform
9. Probability
10. Linear ODEs with Measure Coefficients
11. The Boundary Behavior of Holomorphic Functions
12. Appendices
ISBN:
9780443273902
Page Count:
330
Retail Price (USD)
:
Junior and Senior level undergraduate or early graduate level mathematics students
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