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Basic Real Analysis

Anthony W. Knapp
Publisher: 
Birkhäuser
Publication Date: 
2005
Number of Pages: 
653
Format: 
Hardcover
Series: 
Cornerstones
Price: 
69.95
ISBN: 
0-8176-3250-6
Category: 
Textbook
We do not plan to review this book.

Preface

Dependence among Chapters

Guide for the Reader

List of Figures

Acknowledgements

Standard Notation

Theory of Calculus in One Real Variable

Metric Spaces

Theory of Calculus in Several Real Variables

Theory of Ordinary Differential Equations

Abstract Measure Theory and Lebesgue Measure

Measure Theory for Euclidean Space

Differentiation of Lebesgue Integrals on the Line

Fourier Transform in Euclidean Space

Lp Spaces

Topological Spaces

Integration of Locally Compact Spaces

Hilbert and Banach Spaces

Appendix

Hints for Solutions of Problems

Selected References

Index of Notation

Index