TITLE: Which books can I study (learn) better the topics about convergence in $\Bbb R^{n}$ and euclidean space?
QUESTION [6 upvotes]: I have question. 
Which books can I study (learn) better the topics about convergence in $\Bbb R^{n}$ and euclidean space ? Please can you give me an advice some book names? 
Thank you!

REPLY [4 votes]: See chapter 16 of Mathematical Analysis II  by  V. A. Zorich. A Universitext colection of Springer Edition. A wonderful book. 

This chapter and the chapter beyond are dedicated to Uniform Convergence and Basic Operations of Analysis.