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Primer of Lebesgue integration
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Primer of Lebesgue integration

Primer of Lebesgue integration

H.S. Bear

166 pages, parution le 25/10/2001 (2eme édition)

Résumé

This succcssful text offers a reader-friendly approach to Lebesgue integration. It is designed for advanced undergraduates, beginning graduate students, or advanced readers who may have forgotten one or two details from their real analysis courses.

Table of Contents

Preface to the First Edition
Preface to the Second Edition
1 The Riemann-Darboux Integral 1
2 The Riemann Integral as a Limit of Sums 9
3 Lebesgue Measure on (0, 1) 21
4 Measurable Sets: The Caratheodory Characterization 27
5 The Lebesgue Integral for Bounded Functions 43
6 Properties of the Integral 53
7 The Integral of Unbounded Functions 61
8 Differentiation and Integration 73
9 Plane Measure 85
10 The Relationship between [mu] and [Lambda] 93
11 General Measures 107
12 Integration for General Measures 117
13 More Integration: The Radon-Nikodym Theorem 127
14 Product Measures 135
15 The Space L[superscript 2] 149
Index 161

L'auteur - H.S. Bear

H. S. BEAR, PhD, is a prolific author who has published several pre-calculus texts and an intermediate-level differential equations text, in addition to numerous research articles. His most recent works include two more advanced texts in analysis: A Primer of Lebesgue Integration, Second Edition and An Introduction to Mathematical Analysis. A dedicated educator, Dr. Bear has taught at six major western state universities before moving to Hawaii, where he has spent most of his career. Dr. Bear has served both as Department Chairman and Graduate Chairman at the University of Hawaii.

Caractéristiques techniques

  PAPIER
Éditeur(s) Academic Press
Auteur(s) H.S. Bear
Parution 25/10/2001
Édition  2eme édition
Nb. de pages 166
Format 16 x 23,5
Couverture Relié
Poids 309g
Intérieur Noir et Blanc
EAN13 9780120839711

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