Real analysis : measure theory, integration, and hilbert spaces
Stein, Elias M
Real analysis : measure theory, integration, and hilbert spaces by Elias M. Stein and Rami Shakarchi - London : Princeton University Press, ©2005 - xviii, 402 p. : ill. ; 24 cm. - Princeton lectures in analysis ; III . - Princeton lectures in analysis ; .
Includes bibliographical references and index.
Chapter 1. Measure Theory Chapter 2. Integration Theory Chapter 3. Differentiation and Integration Chapter 4. Hilbert Spaces: An Introduction Chapter 5. Hilbert Spaces: Several Examples Chapter 6. Abstract Measure and Integration Theory Chapter 7. Hausdorff Measure and Fractals
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. After setting fort.
9780691113869
2004114065
GBA515840 bnb
Functional analysis.
Measure theory.
Integrals, Generalized.
515.8 / STE-R
Real analysis : measure theory, integration, and hilbert spaces by Elias M. Stein and Rami Shakarchi - London : Princeton University Press, ©2005 - xviii, 402 p. : ill. ; 24 cm. - Princeton lectures in analysis ; III . - Princeton lectures in analysis ; .
Includes bibliographical references and index.
Chapter 1. Measure Theory Chapter 2. Integration Theory Chapter 3. Differentiation and Integration Chapter 4. Hilbert Spaces: An Introduction Chapter 5. Hilbert Spaces: Several Examples Chapter 6. Abstract Measure and Integration Theory Chapter 7. Hausdorff Measure and Fractals
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. After setting fort.
9780691113869
2004114065
GBA515840 bnb
Functional analysis.
Measure theory.
Integrals, Generalized.
515.8 / STE-R