It specifically covers the material necessary to rigorously prove core calculus theorems, such as: Intermediate Value Theorem Extreme Value Theorem UND Scholarly Commons PDF and Digital Access
You can find a PDF copy of by Paul E. Long (1971) at the Internet Archive . This site allows you to borrow the digital book or access restricted files with an account. The "Story" of the Book an introduction to general topology paul e long pdf link
These two global properties are vital for deep mathematical analysis: It specifically covers the material necessary to rigorously