38 Two+ Real Analysis Books for Self-learning

Main books:

cover to cover goal:
An Introduction to Analysis 3rd Edition
by William R. Wade

cover as much as possible:
Principles of Mathematical Analysis Paperback – January 1, 2013
Rudin

Used in courses:

Baby Real Analysis:
Introduction to Real Analysis, 3rd Edition 3rd Edition
by Robert G. Bartle, Donald R. Sherbert

Rudin-like
Elementary Analysis: The Theory of Calculus (Undergraduate Texts in Mathematics) 2nd ed. 2013 Edition
by Kenneth A. Ross

Other books:

The Dickens Novel of Real Analysis:
Elementary Real Analysis: Second Edition (2008) 2nd Edition
by Brian S. Thomson, Judith B. Bruckner, Andrew M. Bruckner

A First Course in Real Analysis (Undergraduate Texts in Mathematics) 2nd Edition
by Murray H. Protter, Charles B. Jr. Morrey

Terence Tao - Analysis I + Analysis II (Texts and Readings in Mathematics 37 & 38) (3rd Edition CORRECTED REPRINT) || Terence TAO COMBO (Set of 2 Books) Hardcover

Calculus:

Calculus and Analytic Geometry Sixth Edition Thomas/finney Hardcover – January 1, 1986
by George B. Thomas Jr., Ross L. Finney

Calculus, 4th edition fourth Edition
by Michael Spivak

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I went on to spend some time on real and complex analysis, in these playlists:
Real Analysis Bartle and Sherbert
Real Analysis Thomson Bruckner Bruckner (TBB)
Wade Intro to Analysis
Complex Analysis Saff and Snider
Mendelson Number Systems for Analysis
Walter Rudin Mathematical Analysis

[mathematicaladventures]

I went on to spend some time on real and complex analysis, in these playlists:
Real Analysis Bartle and Sherbert
Real Analysis Thomson Bruckner Bruckner (TBB)
Wade Intro to Analysis
Complex Analysis Saff and Snider
Mendelson Number Systems for Analysis
Walter Rudin Mathematical Analysis

[andreashylla]

Problems In Calculus Of One Variable by I. A Maron
Mathematical Analysis In Questions And Problems by by B. F. Butuzov (Ed.)

Problems In Mathematical Analysis by B. Demidovich (Ed.)

All of these are from Mir Publishers and are freely available online. They are all excellent collections of problems with full solutions.

[jotazuma]

I came across this video by chance, but I'm sorry to say that you're not going to be reading real analysis in 34 weeks... I understand that you're not planning to read all the books, just pick and choose topics from each one to cover variety. However, Spivak's Calculus book alone would take about 20 weeks to cover Parts I and II. A good, motivated student would take about 30 weeks, 16 hours per week, to cover the equivalent of Baby Rudin. Remember: math is not Dickens or Asimov, you have to solve problems, and some problems (even those on not so "advanced" topics) can take anywhere from half an hour to a full hour to solve. Multiply that by 200 and you've got 100 to 200 hours (say, about 10 weeks) just solving problems. Since most of the books you showed are very basic, irrelevant or redundant, here are my recommendations: read R. G. Bartle and D. R. Sherbert, "Introduction to Real Analysis", 4th ed.; W. Fleming, "Functions of Several Variables", 2nd ed.; and then R. Beals, "Advanced Mathematical Analysis", and you will be ready to delve into topics such as differential geometry, partial differential equations or functional analysis.