Continuous Nowhere Differentiable Functions The Monsters of Analysis

This book is a comprehensive, self-contained compendium of results on continuous nowhere differentiable functions, collecting many results hitherto accessible only in the scattered literature. Spanning the subject from its origin in the work of Weierstrass to the very latest research, topics covered include: an overview of classical methods for constructing nowhere differentiable functions, the Banach–Jarnik–Mazurkiewicz theorem, generalized Weierstrass functions, Besikovitch–Morse functions, and an analysis of linear spaces of nowhere differentiable functions. Advanced graduate students and researchers in analysis will welcome this technically precise presentation.