Oct 6, 2015
I have added a section on analytic functions at the end of Chapter 9. In this section, we properly give the definition of analytic function on normed linear spaces and then show that the composition of analytic functions is again an analytic function. The definition easily guarantees that the elementary functions in normed linear spaces are analytic. We then continue on to prove the analytic versions of Inverse Function Theorem and Implicit Function Theorem.