The Elements of Integration and Lebesgue Measure
Published on 4. May 1995
Book
Paperback/Softback
192 pages
978-0-471-04222-8 (ISBN)
Description
Consists of two separate but closely related parts. Originally published in 1966, the first section deals with elements of integration and has been updated and corrected. The latter half details the main concepts of Lebesgue measure and uses the abstract measure space approach of the Lebesgue integral because it strikes directly at the most important results-the convergence theorems.
More details
Series
Edition
Wiley Classics Lib edition
Language
English
Place of publication
United States
Publishing group
John Wiley & Sons Inc
Target group
College/higher education
Product notice
Paperback (trade)
Unsewn / adhesive bound
Dimensions
Height: 229 mm
Width: 152 mm
Thickness: 11 mm
Weight
287 gr
ISBN-13
978-0-471-04222-8 (9780471042228)
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 Classification
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Additional editions
Robert G. Bartle
The Elements of Integration and Lebesgue Measure
E-Book
08/2014
Wiley
€156.99
Available for download
Robert G. Bartle
The Elements of Integration and Lebesgue Measure
E-Book
09/2011
Wiley
€156.99
Available for download
Robert G. Bartle
Elements of Integration
Book
12/1966
Wiley
€17.33
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Person
Robert Gardner Bartle was an American mathematician specializing in real analysis. He is known for writing various popular textbooks.
Content
THE ELEMENTS OF INTEGRATION.
Measurable Functions.
Measures.
The Integral.
Integrable Functions.
The Lebesgue Spaces Lp.
Modes of Convergence.
Decomposition of Measures.
Generation of Measures.
Product Measures.
THE ELEMENTS OF LEBESGUE MEASURE.
Volumes of Cells and Intervals.
The Outer Measure.
Measurable Sets.
Examples of Measurable Sets.
Approximation of Measurable Sets.
Additivity and Nonadditivity.
Nonmeasurable and Non-Borel Sets.
References.
Index.
Measurable Functions.
Measures.
The Integral.
Integrable Functions.
The Lebesgue Spaces Lp.
Modes of Convergence.
Decomposition of Measures.
Generation of Measures.
Product Measures.
THE ELEMENTS OF LEBESGUE MEASURE.
Volumes of Cells and Intervals.
The Outer Measure.
Measurable Sets.
Examples of Measurable Sets.
Approximation of Measurable Sets.
Additivity and Nonadditivity.
Nonmeasurable and Non-Borel Sets.
References.
Index.