After posting this question, I have decided to separate the contents into multiple questions.
Reasons I am doing this:
Right tag for each topic, so people who are interested in that topic and watch that tag may suggest rather than one suggests books for all the mentioned topics. So it might be simpler and more efficient.
Having difficulty to decide as everyone has his own opinion. But I believe there is something common for most of people who have read in this topic.
I did not get many answers to see common suggestions and take a decision.
So this post might be as voting post.
I need a book in:
$\big( \bigstar \big)$ Topology and Differential Geometry:
Some suggestions in this website are:
$\star$ Introduction to Smooth Manifolds by John Lee.
$\star$ A First Course in Geometric Topology and Differential Geometry by Ethan D. Bloch.
$\star$ Elementary Topology and Applications by Carlos R Borges.
Even though I have some knowledge in this topic, I want a book that is easy to read for self-learners, to be as comprehensive as possible (but starting from scratch, so it should not be 2nd text), contains proofs as much as possible, contains good number of examples/exercises, and requires least prerequisites.
Someone suggested
$\star$ An Introduction to Manifolds by Loring W. Tu.
But I am not sure if it satisfies the above criteria.
You can suggest other than the listed above if you think there is a better one, please suggest the best (one book containing both Topology and Differential Geometry) (in your opinion). Thanks a lot.
