Measure and integration: a concise introduction to real analysis

This book addresses the need to successfully teach measure and integration within the confines of a one-semester course on real analysis. Other books on this topic tend to be at a higher-level as well as provide enough material to becovered in a two-semester course; however; this book only presents the key concepts so that readers will be better able to understand how to read and understand proofs while gaining insight into the essentials of the topic. Both measure and integration are presented in the context of abstract measure spaces and has sufficient versatility to provide the prerequisites for beginning graduate courses in harmonic analysis, probability, and functional analysis. This book strikes a nice balance between the abstractness and concreteness of the topic, which will prove to be invaluable to both professors and students since real analysis is the most abstract and least constructive area of all mathematics. The exercises and examples are written from the real line and Euclidean space, and this emphasis also reflects the special theorems that should be established for the cases of the line and Euclidean space. This is the only formallywritten book to address the late Shizuo Kakutani's contributions to analysis.

• ISBN: 978-0-470-25954-2
• Editorial: John Wiley & Sons
• Encuadernacion: Cartoné
• Páginas: 256
• Fecha Publicación: 17/07/2009
• Nº Volúmenes: 1
• Idioma: Inglés