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Problems in Mathematical Analysis III 1st Edition by Kaczor, Nowak ISBN 0821832980 9780821832981

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Problems in Mathematical Analysis III 1st Edition by W. J. Kaczor, M. T. Nowak, American Mathematical Society – Ebook PDF Instant Download/Delivery:  0821832980 , 978-0821832981
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ISBN 10:    0821832980
ISBN 13: 978-0821832981
Author:      W. J. Kaczor, M. T. Nowak

A supplement to undergraduate and undergraduate textbooks in mathematical analysis. The third volume in the series focuses on the Riemann-Stieltjes integral and the Lebesgue integral for real functions of one real variable. The first half contains the problems, and the second the solutions and explanations. Annotation (c) Book News, Inc., Portland, OR (booknews.com)
 

Problems in Mathematical Analysis III 1st Table of contents:

Part 1. Problems
Chapter 1. The Riemann-Stieltjes Integral
§1.1. Properties of the Riemann-Stieltjes Integral
§1.2. Functions of Bounded Variation
§1.3. Further Properties of the Riemann-Stieltjes Integral
§1.4. Proper Integrals
§1.5. Improper Integrals
§1.6. Integral Inequalities
§1.7. Jordan Measure
Chapter 2. The Lebesgue Integral
§2.1. Lebesgue Measure on the Real Line
§2.2. Lebesgue Measurable Functions
§2.3. Lebesgue Integration
§2.4. Absolute Continuity, Differentiation and Integration
§2.5. Fourier Series
Part 2. Solutions
Chapter 1. The Riemann-Stieltjes Integral
§1.1. Properties of the Riemann-Stieltjes Integral
§1.2. Functions of Bounded Variation
§1.3. Further Properties of the Riemann-Stieltjes Integral
§1.4. Proper Integrals
§1.5. Improper Integrals
§1.6. Integral Inequalities
§1.7. Jordan Measure
Chapter 2. The Lebesgue Integral
§2.1. Lebesgue Measure on the Real Line
§2.2. Lebesgue Measurable Functions
§2.3. Lebesgue Integration
§2.4. Absolute Continuity, Differentiation and Integration
§2.5. Fourier Series

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