Pdf Files of Applied Analysis by John Hunter and Bruno Nachtergaele

Updated July 21, 2005. We welcome your comments on the text. Please send them to jkhunter@ucdavis.edu or bxn@math.ucdavis.edu .

Chapter 1: Metric and Normed Spaces (134)

Chapter 2: Continuous Functions (3560)

Chapter 3: The Contraction Mapping Theorem (6179)

Chapter 4: Topological Spaces (8189)

Chapter 5: Banach Spaces (91123)

Chapter 6: Hilbert Spaces (125147)

Chapter 7: Fourier Series (149186)

Chapter 8: Bounded Linear Operators on a Hilbert Space (187214)

Chapter 9: The Spectrum of Bounded Linear Operators (215243)

Chapter 10: Linear Differential Operators and Green's Functions (245286)

Chapter 11: Distributions and the Fourier Transform (287333)

Chapter 12: Measure Theory and Function Spaces (335377)

Chapter 13: Differential Calculus and Variational Methods (379426)

References (427429)

Index

Errata for First Printing

Errata for Second Printing

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