I am reaffirming my familiarity of this topic. I didn't find that this question has been asked yet.
After reading Dantzig's book "Numbers", I became more interested in this area of analysis. I originally studied it a long time ago. So what are the community recommendations? I seek more proper, complete, comprehensive treatments. Also, I'd like it to be more exclusively on this topic.
I agree with Ted Shifrin on Spivak's Calculus as a strong book on sequences and series (and he should know,he wrote most of the exercises for it from the second edition onwards.......lol) .
Most elementary analysis texts contains chapters on sequences and series, but most of the best sources on the subject are the older pre-Rudin analysis texts. One of my favorites is sadly long out of print-it's W. Ferrar's A Textbook of Convergence. If you can locate a copy of this forgotten classic, you definitely should do so. Another very good source along these lines is Titchmarsh's Theory of Functions,which also contains excellent classical treatments of measure theory and complex variables.