A Primer of Lebesgue Integration
Autor H. S. Bearen Limba Engleză Hardback – 15 oct 2001
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.
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Specificații
ISBN-13: 9780120839711
ISBN-10: 0120839717
Pagini: 164
Dimensiuni: 152 x 229 x 17 mm
Greutate: 0.4 kg
Ediția:2002. Corr. 2nd.
Editura: ELSEVIER SCIENCE
ISBN-10: 0120839717
Pagini: 164
Dimensiuni: 152 x 229 x 17 mm
Greutate: 0.4 kg
Ediția:2002. Corr. 2nd.
Editura: ELSEVIER SCIENCE
Public țintă
Advanced undergraduate and postgraduate students in mathematics.Cuprins
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 µ and General Measures
Integration for General Measures
More Integration: The Radon-Nikodym Theorem
Product Measures
The Space L2
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 µ and General Measures
Integration for General Measures
More Integration: The Radon-Nikodym Theorem
Product Measures
The Space L2
Recenzii
"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