Basic Real Analysis 2nd Edition by Anthony W Knapp ISBN 978-1429799997

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Product details:

ISBN 13: 978-1429799997
Author: Anthony W. Knapp

This book and its companion volume, Advanced Real Analysis, systematically develop concepts and tools in real analysis that are vital to every mathematician, whether pure or applied, aspiring or established. The two books together contain what the young mathematician needs to know about real analysis in order to communicate well with colleagues in all branches of mathematics.

Table of contents:

Front pages (Contents, Dependence Among Chapters, Prefaces, List of Figures, Acknowledgments, Guide, Standard Notation)
Chapter I: Theory of Calculus in One Real Variable
Chapter II: Metric Spaces
Chapter III: Theory of Calculus in Several Real Variables
Chapter IV: Theory of Ordinary Differential Equations and Systems
Chapter V: Lebesgue Measure and Abstract Measure Theory
Chapter VI: Measure Theory for Euclidean Space
Chapter VII: Differentiation of Lebesgue Integrals on the Line
Chapter VIII: Fourier Transform in Euclidean Space
Chapter IX: Lᵖ Spaces
Chapter X: Topological Spaces
Chapter XI: Integration on Locally Compact Spaces
Chapter XII: Hilbert and Banach Spaces
Appendix A: Background Topics
Appendix B: Elementary Complex Analysis
Hints for Solutions of Problems
Selected References
Indices

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