QuantCandy's Blog

These look like they are fun, and not just for kids.

This is great, free textbook Applied Analysis by John Hunter, Bruno Nachtergaele
here.   The book covers the topics:

Metric and Normed Spaces
Continuous Functions
The Contraction Mapping Theorem
Topological Spaces
Banach Spaces
Hilbert Spaces
Fourier Series
Bounded Linear Operators on a Hilbert Space
The Spectrum of Bounded Linear Operators
Linear Differential Operators and Green’s Functions
Distributions and the Fourier Transform
Measure Theory and Function Spaces
Differential Calculus and Variational Methods