What are the best books on analysis to read for leisure? Apologies if this kind of question is not allowed here - if so please delete it.
I was just wondering if anyone could recommend a book on mathematical analysis that is interesting enough to sit down and read for enjoyment alone? Something not written in the style of a textbook?
All the best.
 A: Counterexamples in Analysis is great for recreational reading.
A: Understanding Analysis is an awesome book in my opinion. It's concise and highly readable, but manages to not sacrifice too much rigor when doing so. I think it's a great book for someone who is interested in getting their hands on serious material, but in an accessible and easy to read fashion.
A: I remember Visual Complex Analysis by Tristan Needham being enjoyable for armchair reading.
A: There are two books according to me


*

*How to Think About Analysis 1st Edition
by Lara Alcock  


https://www.amazon.com/Think-About-Analysis-Lara-Alcock/dp/0198723539
2.
The Real Analysis Lifesaver: All the Tools You Need to Understand Proofs (Princeton Lifesaver Study Guides) Reprint Edition
by Raffi Grinberg 
https://www.amazon.com/Real-Analysis-Lifesaver-Understand-Princeton/dp/0691172935/ref=sr_1_1?s=books&ie=UTF8&qid=1491669108&sr=1-1&keywords=analysis+lifesaver
Both these books are written in informal way suitable for self study
Hope it heps
A: The Manga Guide to Calculus might be of use:
The Mange Guide to Calculus
A: An Introduction to Mathematical Analysis by Burkill is nice and concise, yet still flows very well and has a few good exercises. Only covers basic analysis though, nothing beyond first or maybe second year undergrad. I also like that it is smaller so you can carry it around to read on a bench or on a train.
A: Iosevich, A View from the Top : Analysis, Combinatorics and Number Theory
A: Tom Körner's got a couple:


*

*Calculus for the Ambitious

*A Companion to Analysis: A second first and first second course in analysis.
All of his stuff is extremely readable, whether it's formatted like a textbook or otherwise. (His book on Fourier analysis is easily one of the best, but probably a bit advanced for what the OP has in mind.)
And of course I have to recommend Hardy's A Course in Pure Mathematics, even if it is explicitly a textbook. Boy did Hardy know how to write.
A: For an easy and fun book read Understanding Analysis by Abbott. For a tougher read that is thorough and intuitive read Real Mathematical Analysis by C.C.Pugh.I would recommend this over Rudin anyday.
A: Your description led me to think that you want a book speaking in a tone like you are strolling with a seasoned mathematician. Then two books came to my mind:


*

*The Way of Analysis by R. S. Strichartz;

*Analysis (three volumes) by R. Godement.
The latter one is in addition entertaining, in the sense that the author is actually a comedian whose sense of humor is unique and superb.
Also check out Princeton's Companion to Mathematics; you can get inspired as you can see mathematics from the viewpoints of the experts of the experts.
A: 
I recommend

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*Analysis by its History by E. Hairer and G. Wanner

and

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*A Radical Approach to Real Analysis by D.M. Bressoud.


