Measure and Integral: An Introduction to Real Analysis, Second EditionNow considered a classic text on the topic, Measure and Integral: An Introduction to Real Analysis provides an introduction to real analysis by first developing the theory of measure and integration in the simple setting of Euclidean space, and then presenting a more general treatment based on abstract notions characterized by axioms and with less geometric content. Published nearly forty years after the first edition, this long-awaited Second Edition also:
This widely used and highly respected text for upper-division undergraduate and first-year graduate students of mathematics, statistics, probability, or engineering is revised for a new generation of students and instructors. The book also serves as a handy reference for professional mathematicians. |
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Contents
1 | |
Chapter 2 Functions of Bounded Variation and the RiemannStieltjes Integral | 17 |
Chapter 3 Lebesgue Measure and Outer Measure | 41 |
Chapter 4 Lebesgue Measurable Functions | 63 |
Chapter 5 The Lebesgue Integral | 81 |
Chapter 6 Repeated Integration | 113 |
Chapter 7 Differentiation | 129 |
Chapter 8 Lp Classes | 183 |
Chapter 10 Abstract Integration | 237 |
Chapter 11 Outer Measure and Measure | 279 |
Chapter 12 A Few Facts from Harmonic Analysis | 301 |
Chapter 13 The Fourier Transform | 371 |
Chapter 14 Fractional Integration | 415 |
Chapter 15 Weak Derivatives and PoincaréSobolev Estimates | 461 |
Notations | 501 |
Back Cover | 505 |
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Measure and Integral: An Introduction to Real Analysis, Second Edition Richard L. Wheeden No preview available - 2015 |