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Robert G. Bartle 
The Elements of Integration and Lebesgue Measure 

الدعم
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.
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قائمة المحتويات

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.

عن المؤلف

Robert Gardner Bartle was an American mathematician specializing in real analysis. He is known for writing various popular textbooks.
لغة الإنجليزية ● شكل PDF ● صفحات 192 ● ISBN 9781118164488 ● حجم الملف 5.8 MB ● الناشر John Wiley & Sons ● نشرت 2011 ● الإصدار 1 ● للتحميل 24 الشهور ● دقة EUR ● هوية شخصية 2354654 ● حماية النسخ Adobe DRM
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