This volume aims to bridge between elementary textbooks on calculus and established books on advanced analysis.
The chain rule or differentiation of composite functions is ubiquitous since almost all (a.a.) functions are composite functions of (elem.
It provides elucidation of the reversible process of differentiation and integration through two featured principles: the chain rule and its inverse -- the change of variable -- as well as the Leibniz rule and its inverse -- the integration by parts.
This volume aims to bridge between elementary textbooks on calculus and established books on advanced analysis