Teaching Calculus With Infinitesimals

This short book is about teaching differential and integral calculus but instead following the traditional approach with limits being defined with epsilon and delta the author provides a simpler way by presenting all the definitions using infinitesimals as is defined in Nonstandard Analysis. With this approach the concepts are simpler to understand and the theorems easily proved. The public of this book is anyone interested in calculus thus students of science engineering economics etc. After a short introduction to Nonstandard Analysis the author explains in a simple way but with rigorous techniques the fundamental notions like convergence of sequences derivatives integrals and series.