Real Analysis book with pictures and ideas of proofs

Question

I am taking real analysis course in my graduate class of Maths. My classes will start in 3 months. I have studied real analysis but not very rigorously. Whenever I see theorem I have no idea on how to prove it or even how do I start it. I understand when I read them. But I cannot reproduce them in my own way when needed.

Basically I want to redo it again before my actual classes.

Can anyone suggest me book which contains pictorial and diagrams for proofs and also idea of proof is given with each proof. I feel like as I lack tools for proofs. This will help me a lot

Thanks

Someone suggested to me that, when reading a real analysis book without illustrations, I should always have pencil and paper handy so I could draw pictures for it myself. — Akiva Weinberger, Apr 26 '15 at 20:57
Look at Victor Bryant's Yet Another Introduction to Analysis. I've written about this book several times since 2000 -- google its title along with my name. — Dave L. Renfro, Apr 27 '15 at 19:44
@DaveL.Renfro Thanks i have seen the book ..It is a good book .Can you suggest slightly advanced text — Taylor Ted, Apr 28 '15 at 15:22
A little more advanced, with lots of intuition (and I think pictures) is Bressoud's A Radical Approach to Real Analysis. Bressoud's book is less advanced than Pugh's book mentioned below (a book I like a lot, by the way) and a little more advanced than Abbott's book mentioned below (another book I like a lot). — Dave L. Renfro, Apr 28 '15 at 20:58
Does this answer your question? Visual book of real analysis — , Jul 22 '21 at 08:34

score 3 · Answer 1 · answered Apr 28 '15 at 16:06

3

I would suggest Understanding Analysis by Abbott . It's a pretty rigorous book but it was written with the beginner in mind. It may help you review.

answered Apr 28 '15 at 16:06

AnlamK

185

Abbott's book lacks many pictures though. – Jul 20 '21 at 07:44

score 2 · Answer 2 · edited Jun 12 '20 at 10:38

2

I finally found this GEM that has proof strategies, motivation for every proof with over 100 pictures:

Edit by non-OP:

The link overhead is broken. I divine this to have been intended:

Ajit Kumar and S. Kumaresan. A Basic Course in Real Analysis (2014).

edited Jun 12 '20 at 10:38

Community

1

answered Apr 28 '15 at 15:46

Taylor Ted

3,408

score 2 · Answer 3 · answered Apr 28 '15 at 15:50

2

C.C.Pugh 's Real Mathematical Analysis is a very good book in this regard.It contains all the proofs with pictures.

answered Apr 28 '15 at 15:50

Learnmore

31,062

can't find it online ? – Taylor Ted Apr 28 '15 at 15:57
2

Why? Google shows it – Learnmore Apr 29 '15 at 03:24
Can you provide link – Taylor Ted Apr 29 '15 at 14:29

Real Analysis book with pictures and ideas of proofs

3 Answers3

Edit by non-OP:

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