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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