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Lebesgue Integration on Euclidean Space

Lebesgue Integration on Euclidean Space - rev edition

ISBN13: 978-0763717087

Cover of Lebesgue Integration on Euclidean Space REV 01 (ISBN 978-0763717087)
ISBN13: 978-0763717087
ISBN10: 0763717088
Cover type: Print On Demand
Edition/Copyright: REV 01
Publisher: Jones & Bartlett Publishers
Published: 2001
International: No

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Lebesgue Integration on Euclidean Space - REV 01 edition

ISBN13: 978-0763717087

Frank Jones Jones

ISBN13: 978-0763717087
ISBN10: 0763717088
Cover type: Print On Demand
Edition/Copyright: REV 01
Publisher: Jones & Bartlett Publishers

Published: 2001
International: No
Summary

Lebesgue Integration on Euclidean Space contains a concrete, intuitive, and patient derivation of Lebesgue measure and integration on Rn. Throughout the text, many exercises that are incorporated, enabling students to apply new ideas immediately. Jones strives to present a slow introduction to Lebesgue integration by dealing with n-dimensional spaces from the outset. In addition, the text provides students a through treatment of Fourier analysis, while holistically preparing students to become ''workers'' in real analysis.

  • Present a slow introduction to Lebesgue integration.
  • Deals with n-dimensional spaces from the outset.
  • Provides a thorough treatment of Fourier analysis.
  • The text provides students the ability to transpose the material they have learned into other areas that they are interested in. Jones call this, Preparation to become ''workers'' in real analysis.

Author Bio

Jones, Frank : Rice University

Frank Jones received his bachelor's and Ph.D. degrees from Rice University. His major research interest include real analysis and partial differential equations. In addition, he has been awarded several distinguished teaching awards throughout his career at Rice University.















Table of Contents

Preface
Bibliography
Acknowledgements

1. Introduction to Rn
2. Lebesgue Measure on Rn
3. Invariance of Lebesgue Measure
4. Some Interesting Sets
5. Algebra of Sets and Measurable Functions
6. Integration
7. Lebesgue Integral on Rn
8. Fubini's Theorem for Rn
9. The Gamma Function
10. Lp Spaces
11. Products of Abstract Measures
12. Convolutions
13. Fourier Transform on Rn
14. Fourier Series in One Variable
15. Differentiation
16. Differentiation for Function on R

Index
Symbol Index

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