Real analysis provides the fundamental underpinnings for calculus,
arguably the most useful and influential mathematical idea ever
invented. It is a core subject in any mathematics degree, and also
one which many students find challenging. A Sequential Introduction
to Real Analysis gives a fresh take on real analysis by formulating
all the underlying concepts in terms of convergence of sequences.
The result is a coherent, mathematically rigorous, but conceptually
simple development of the standard theory of differential and
integral calculus ideally suited to undergraduate students learning
real analysis for the first time.This book can be used as the basis
of an undergraduate real analysis course, or used as further
reading material to give an alternative perspective within a
conventional real analysis course.
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