Analysis Introduction to Topology and Modern Analysis by Simmons

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"Introduction to Topology and Modern Analysis" by George F. Simmons is highly regarded for its clarity and effectiveness in teaching fundamental concepts in analysis and point set topology. The book simplifies complex ideas, making them accessible to beginners, and is often recommended for its straightforward approach. Readers have noted that it presents topics in a way that contrasts sharply with traditional courses, making difficult subjects seem manageable. A detailed review by Lee Carlson is available on the Amazon link, outlining the book's contents.

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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.
 
Many years ago, as the internet was coming of age, I burned over 500 pounds of technical manuals. I realized I can look things up on the internet faster than I can find something in a technical manual. And just about anything I might need could be found online. But letting go of my several shelves worth of college text and other science books is another matter. I can't bring myself to get rid of them but there is very little if anything I can't find online now. Books are heavy and a pain...

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