Measure and Integral : an Introduction to Real Analysis /: an Introduction to Real Analysis. (1977)

• Record Type: Book
• Further Information: Note: Richard Wheeden, Richard L. Wheeden, Antoni Zygmund.
• Authors: Wheeden, Richard; Wheeden, Richard L; Zygmund, Antoni
• Contents: Preliminaries; ; Points and Sets in Rn; Rn as a Metric Space; Open and Closed Sets in Rn: Special Sets; Compact Sets; The Heine-Borel Theorem; Functions; Continuous Functions and Transformations; The Riemann Integral; Exercises Function of Bounded Variation; The Riemann-Stieltjes Integral Functions of Bounded Variation; Rectifiable Curves; The Reiman-Stieltjes Integral; Further Results About the Reimann-Stieltjes Integrals; Exercises; ; Lebesgue Measure and Outer Measure Lebesgue Outer Measures; The Cantor Set. Lebesgue Measurable Sets; Two Properties of Lebesgue Measure; Characterizations of Measurability; Lipschitz Transformations of Rn; A Nonmeasurable Set. Exercises; Lebesgue Measurable Functions; Elementary Properties of Measurable Functions. Semicontinuous Functions; Properties of Measurable Functions; Egorov's Theorem and Lusin's Theorem; Convergence in Measure; Exercises; ; The Lebesgue Integral; Definition of the Integral of a Nonnegative Function; Properties of the Integral; The Integral of an Arbitrary Measurable f; A Relation Between Riemann-Stieltjes and Lebesgue Integrals; the LP Spaces, 0
• Publisher Details: Boca Raton, FL : CRC Press
• Publication Date: 1977
• Extent: 1 online resource
• Subjects: 515/.42; Mathematical analysis; Mathematical analysis; Electronic books
• Languages: English
• ISBNs: 9781482229530; 1482229536
• Related ISBNs: 9780824764999
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.