I'm doing an Intro to Real Analysis course which covers topics such as:
Real numbers and sequences. Metric spaces, compactness and connectedness. Sequences and series of functions, power series; modes of convergence. Interchange of limiting processes; differentiation of integrals. Function spaces; Weierstrass approximation theorem.
The textbook we are using is Real Analysis and Applications: Theory in Practice by Davidson and Donsig.
The problem I have with the book is that it doesn't have any solutions for its exercises. I was wondering if anyone here knows of a similar book that covers the same range of topics and has similar level exercises but with solutions?