Exercise book for Elementary/Introduction to Real Analysis?

Question

I'm currently doing a course in Elementary Analysis (Intro to real analysis). My course focuses on the topics: sequences, limits of functions, continuity, uniform continuity and derivative/derivability of functions, all in R. I've studied on my own with the book "Elementary Analysis, the theory of calculus", which has proved to be an extremely useful book for someone with zero previous knowledge in analysis or calculus.

My question is whether anybody knows of any good books that have exercises in them, my textbook (mentioned above), has some exercises, but not a lot, and the vast majority of the exercises do not have solutions. I'm looking for a book that focuses mostly on proving, rather than strictly calculating limits and derivatives, all though preferably a book that does both.

Thanks in advance

See Spivak's Calculus (which, as prefaces to later editions comment, would almost be better titled Introduction to Analysis). It has many exercises. — Simon S, Oct 17 '15 at 18:58
Have you tried a Google search? Maybe "problem book analysis." It gives a list, you can use Google books for a preview. — smokeypeat, Jul 09 '17 at 07:52

score 5 · Accepted Answer · answered Jan 16 '14 at 02:32

5

Abbott's Understanding Analysis has good exercises, but no solutions. All exercises are proof-based.

answered Jan 16 '14 at 02:32

Viktor Vaughn

19,278

1

I was going to recommend this book. It is a good introduction. – abnry Jan 16 '14 at 02:35

score 2 · Answer 2 · answered Jan 16 '14 at 02:14

2

Advanced Calculus: G.B. Folland
Principles of Mathematical analysis: W. Rudin
Mathematical Analysis: An Introduction: A. Browder.

Exercise book for Elementary/Introduction to Real Analysis?

3 Answers3

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