Series of functions -Uniform convergence

[estro]

1. Sequences of function and their uniform convergence. (most priority)
2. Series of function and their uniform convergence.

Will appreciate good theoretical material on this topic. (Lectures/Writen)
Thank you!

 

[Gib Z]

Any textbook on Real Analysis should give you lots of information on them. Much of the theory for the 1) applies easily to 2) since you can view an infinite series as the limit of the sequence of partial sums.

Here's a very good free online textbook that covers them decently:

http://ramanujan.math.trinity.edu/wtrench/texts/TRENCH_REAL_ANALYSIS.PDF

 

[estro]

I'll check this out. Thanks!