Real Analysis: Measure Theory, Integration, and Hilbert SpacesPrinceton University Press, 2009 M11 28 - 424 páginas Real Analysis is the third volume in the Princeton Lectures in Analysis, a series of four textbooks that aim to present, in an integrated manner, the core areas of analysis. Here the focus is on the development of measure and integration theory, differentiation and integration, Hilbert spaces, and Hausdorff measure and fractals. This book reflects the objective of the series as a whole: to make plain the organic unity that exists between the various parts of the subject, and to illustrate the wide applicability of ideas of analysis to other fields of mathematics and science. |
Contenido
1 | |
Chapter 2 Integration Theory | 49 |
Chapter 3 Differentiation and Integration | 98 |
An Introduction | 156 |
Several Examples | 207 |
Chapter 6 Abstract Measure and Integration Theory | 262 |
Chapter 7 Hausdorff Measure and Fractals | 323 |
Notes and References | 389 |
391 | |
Symbol Glossary | 395 |
397 | |
Otras ediciones - Ver todas
Real Analysis: Measure Theory, Integration, and Hilbert Spaces Elias M. Stein,Rami Shakarchi Vista previa limitada - 2005 |