In the Spoken Reals I asked readers to get a copy of Maxwell Rosenlicht's book Introduction to Analysis. I would like to do a new reading of this book both for my own space physics work and to try to make the book into a powerful friend to people who describe themselves as 'hopeless' with respect to both arithmetic and mathematics. I want to do this because I think I see a great power that people could get from this book, if we can overcome the facts that (1) I am taking the book out of the university classroom for which it was written, and (2) I am taking away the prerequisites.
The first of these actions makes the work into self study, but I hope to make the self study possible and rewarding with the materials I have created and will create with the help of others. The second action, taking away the prerequisites, may seem hopelessly ambitious. This is because Rosenlicht says in his preface that "The background recommended is any first course in calculus, through partial differentiation and multiple integrals [...]", but then he immediately continues "[...] (although, as a matter of fact, nothing is assumed except for the axioms of the real number system)." And he treats the real number system in detail in the second chapter, with the prerequisite material on sets covered in the first chapter!
Therefore, my task is to make the first two chapters accessible to my desired audience. After chapters one and two have been mastered, it seems to me that the reader will be well placed to go on to chapters three and four, which Rosenlicht describes as "the meat of the book". I think anyone in my intended audience who gets that far will have gone from being way behind most people to being way ahead. We will only need slightly to modify what Rosenlicht says in his preface: "After this, Chapters V, VI, and VII flow along smoothly, for their substance (elementary calculus) is familiar and the proofs now make sense." For us, the familiarity will come from the sense. Scroll to show contents below.
Begin
(at the beginning)
chapter 1,
§1,
§2,
§3,
§4
chapter 2,
§1,
§2,
§3,
§4
 and 
chapter 3,
chapter 4,
 and 
chapter 5,
chapter 6,
chapter 7,
 and 
chapter 8,
chapter 9,
chapter 10.
chapter I Preview
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chapter II Preview
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chapter II, §2_preview

















chapter II, §3_preview
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TO BE ... CONTINUED  from cultural starting points with the aid of collaborators.
