ita ... is short for Introduction to Analysis by Maxwell Rosenlicht, Dover (Mineola, New York, USA), 1986: "[The] Dover edition, first published in 1986, is an unabridged and unaltered republication of the work first published by Scott Foresman and Company, Glenview, Illinois, in 1968." Please Buy the Book . Quotations are with permission. Citations are generally in the following form: ita-i-j-k-pgn, where i is the chapter number, j is the section number, k is the paragraph number, and pgn gives the page. Note that the paragraph number is counted from the beginning of the section to facilitate reference to the Scott Foresman edition.
The Field Properties
The Order Property
The Least Upper Bound Property
Existence of Square Roots
The work above is meant to be a gateway into the rest of Rosenlicht's book. My first reading is presented, in what I call 'peak to ground' format, here. I would like to continue the reading, but not yet to do the multivariate implicit function theorem. I would like to do the first seven chapters - walking back up the mountain.