I am looking for Real Analysis book suitable for self study which is similar to the essence of Visual Group theory by Nathan Carter, which is scrupulous and punctilious in explaining concepts via visuals without compromise of rigor. It must be suitable for introductory course. Thanks.

PS I checked other answer to similar question and didnot like the recommendation much, more reference would be useful

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    $\begingroup$ I suspect that the “visual real analysis introductory texts" are the calculus books. $\endgroup$ – Pedro Apr 10 at 17:56
  • $\begingroup$ If you want to self-study analysis, take a classic book and sweat on it. I would recommend Walter Rudin's "Principles of mathematical analysis", but there are many other choices. Many other books end up being a watered down version of these classics. $\endgroup$ – Giuseppe Negro Apr 10 at 18:03
  • $\begingroup$ This book has lots of pictures and may be what you are looking for. $\endgroup$ – Shahab Apr 10 at 18:04
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    $\begingroup$ Rudin and Pugh seems to be advanced books $\endgroup$ – Confused Simpleton Apr 10 at 18:21
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    $\begingroup$ Also, several theorems in real analysis can be associated with a geometry very well, and it is infact a very good exercise for you to draw this parallel. But pictures are a double-edged sword. They are often very useful, there's no doubt about it, but they can also cloud your thinking either by limiting your capacity to think from a more general/abstract perspective, or from inhibiting you to the variety of non-intuitive examples and counter-examples: Cantor sets, countability of various sets, the existence of space-filling curves, continuous-but-nowhere-differentiable curves, etc. $\endgroup$ – peek-a-boo Apr 11 at 7:47

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