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.
Rezensionen / Stimmen
"This well-written little book provides ... an introduction to the Lebesgue integral. The book is written very clearly and suggestively and can be recommended to students." --Zentralblatt for Mathematik
Auflage
Sprache
Verlagsort
Verlagsgruppe
Elsevier Science Publishing Co Inc
Zielgruppe
Für Beruf und Forschung
Advanced undergraduate and postgraduate students in mathematics.
Editions-Typ
Maße
Höhe: 229 mm
Breite: 152 mm
Gewicht
ISBN-13
978-0-12-083971-1 (9780120839711)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
H.S. Bear is a professor at the University of Hawaii, Manoa and a member of both the American Mathematical Society and the Mathematical Association of America.
Autor*in
University of Hawaii at Manoa, Honolulu, U.S.A.
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 ? and General Measures
Integration for General Measures
More Integration: The Radon-Nikodym Theorem
Product Measures
The Space L2
