Basic Analysis II Introduction to Real Analysis, Volume II

This second volume of “Basic Analysis” is meant to be a seamless continuation. The chapters are numbered to start where the first volume left off. The book started with my notes for a secondsemester undergraduate analysis at University of Wisconsin””Madison in 2012, where I used my notes together with Rudin’s book. The choice of some of the material and some of the proofs are very similar to Rudin, though I do try to provide more detail and context. In 2016, I taught a second-semester undergraduate analysis at Oklahoma State University and heavily modified and cleaned up the notes, this time using them as the main text. In 2018, I taught this course again, this time adding chapter 11 (which I originally wrote for the Wisconsin course).