Real Analysis provides the fundamental underpinnings for calculus, arguably the most useful and influential mathematical idea ever invented.
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..
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.
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.
It is a core subject in any mathematics degree, and also one which many students find challenging.
Real Analysis provides the fundamental underpinnings for calculus, arguably the most useful and influential mathematical idea ever invented