Daniel W. Stroock
A Concise Introduction to the Theory of Integration
- ISBN 13:
- 9789810201456
- author:
- Daniel W. Stroock
- format:
- HardBack
- publisher:
- World Scientific Publishing Co Pte Ltd
- language:
- English
- Publication Year:
- 1990
- Pages:
- 160
- Genre:
- Mathematics Textbook
- Condition:
- New
- Availability:
- Item usually sent within 20 working days
Description
A Concise Introduction to the Theory of Integration by Daniel W. Stroock provides an in-depth introduction to modern integration theory, with a focus on Lebesgue's measure and its applications to real analysis and probability theory. The book begins with a review of classical Riemann theory, followed by a detailed explanation of Lebesgue's construction and its properties under linear maps. It then explores the theory of integration of real-valued functions on general measure spaces, including product measures and Fubini's Theorem. Later chapters delve into transformation properties of measures, such as representation of integrals in terms of Riemann integrals and polar coordinates. This comprehensive textbook covers essential topics in measure theory, including basic inequalities like Jensen, Minkowski, and Hlder, and concludes with the Danelli integral and its applications to important theorems.
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