1645850463  

A primer of Lebesgue integration / H. S. Bear

2. ed.

Englisch

San Diego, Calif. [u.a.] : Acad. Press, 2002

Online Ressource (xi, 164 p.)

Includes index. - Description based on print version record

English

Druckausg.: Bear, H. S. *1929-*: A primer of Lebesgue integration. - San Diego, Calif. [u.a.] : Acad. Press, 2002. - XI, 164 S

978-0-12-083971-1

0-12-083971-7

978-0-08-052573-0 electronic bk.

0-08-052573-3 electronic bk.

Weitere Ausgaben: 0-12-083971-7 (Druckausgabe)

DOI: 10.1016/B978-0-12-083971-1.X5000-7

*Lebesgue-Integral

*Electronic books ; Lebesgue integral

*Electronic books ; MATHEMATICS ; Calculus ; MATHEMATICS ; Mathematical Analysis ; Lebesgue integral ; Intégrale de Lebesgue

Klassifikation der Library of Congress: QA312

Dewey Dezimal-Klassifikation: 515.43; ; 515/.43;

Regensburger Verbund-Klassifikation: SK 430: SA-SP Mathematik / SK Monografien / Maß- und Integrationstheorie

bisacsh: MAT

bisacsh: MAT

Mathematics Subject Classification: *28-01

Mathematics Subject Classification: 26A42

bisacsh: MAT 005000

bisacsh: MAT 034000

bisacsh: MAT 005000

bisacsh: MAT 034000

The Riemann-Darboux Integral; The Riemann Integral as a Limit of Sums; Lebesgue Measure on (0, 1); -- Measurable Sets: The Caratheodory Characterization; -- The Lebesgue Integral for Bounded Functions; Properties of the Integral; The Integral of Unbounded Functions; Differentiation and Integration; Plane Measure; The Relationship between æ and General Measures; Integration for General Measures; More Integration: The Radon-Nikodym Theorem; Product Measures; The Space L2; Index

The Lebesgue integral is now standard for both applications and advanced mathematics. This books starts with a review of the familiar calculus integral and then constructs the Lebesgue integral from the ground up using the same ideas. A Primer of Lebesgue Integration has been used successfully both in the classroom and for individual study. Bear presents a clear and simple introduction for those intent on further study in higher mathematics. Additionally, this book serves as a refresher providing new insight for those in the field. The author writes with an engaging, commonsense style that appeals to readers at all levels

 

https://zbmath.org/?q=an:0986.28001 [Zentralblatt MATH]

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