Ref.

This is not a typical advanced calculus book. This was written by one of the greatest mathematicians of our era, Terence Tao. He actually wrote two books for undergraduate students, “Analysis I” and “Analysis II.” In this book, he discusses topics like metric spaces, uniform convergence, Lebesgue measures, and Lebesgue integration. These topics are not very well discussed in a typical advanced calculus book (or Analysis II or Analysis I). What’s more surprising is that despite the difficulty of the topics he discusses, Tao made the book quite readable; it can be casually read and understood without picking up a pencil during reading.

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