Functional Analysis book for beginners

AI Thread Summary
For those seeking a functional analysis book, particularly for topics like completeness and accumulation points, Kreyszig's book is noted, but additional resources are recommended. Munkres' book on topology is suggested as a solid choice for foundational concepts. Additionally, Mendelson's "Introduction to Topology" is highlighted as an elementary and affordable option, making it suitable for those looking for exercises and a deeper understanding of introductory material in topology.
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Hi, I need a functional analysis book. I have Kreyszig's book. I'm at continuous mapping but I have some problems with completeness and accumulation points. So I would like to read a lot excercises about these introductory stuff. What are your suggestions? Thanks.
 
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Sounds like what you need is a book on topology. Munkres is good.
 

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