Real Analysis by Dr. Maria Cristina Pereyra
This
text is evolved from authors lecture notes on the subject, and thus is very much
oriented towards a pedagogical perspective; much of the key material is
contained inside exercises, and in many cases author chosen to give a lengthy
and tedious, but instructive, proof instead of a slick abstract proof. Topics
covered includes: The natural numbers, Set theory, Integers and rationals, The
real numbers, Limits of sequences, Series, Infinite sets, Continuous functions
on R, Differentiation of functions, The Riemann integral, the decimal system and
basics of mathematical logic.
Author(s): Dr. Maria Cristina Pereyra
171 Pages