I recall looking at this book some 40 years ago and finding it in the category with books by Sterling Berberian, i.e. extremely clear and helpful at understanding the basic ideas and theorems of the subject. Ever since then I have recommended it to beginners in analysis and point set topology.
This is the sort of book that makes one exclaim "why didn't my course make this look so easy?" I.e. things you thought were hard do not look that way here. It is introductory. He explains the most fundamental parts of the subject from the beginning and makes them clear. There is a detailed review by Lee Carlson on the amazon link that gives all the contents.