Marek Jarnicki & Peter Pflug 
Continuous Nowhere Differentiable Functions [PDF ebook] 
The Monsters of Analysis

Preface.- Preliminaries.- Weierstrass type functions I.- Takagi–van der Waerden type functions I.- Bolzano type functions I.- Other examples.- Baire category approach.- Weierstrass type functions II.- Takagi–van der Waerden type functions II.- Bolzano type functions II.- Besicovitch–Morse Functions.- Linear spaces of nowhere differentiable functions.- Riemann function.

Marek Jarnicki is Professor of Mathematics at Jagiellonian University, Poland. His primary subject of research is complex analysis, particularly holomorphically invariant (contractible) pseudodistances and pseudometrics; domains of holomorphy with respect to special cases of holomorphic functions; continuation of holomorphic functions with restricted growth; and the extension of separately analytic functions.
Peter Pflug is Professor of Mathematics at the University of Oldenburg, Germany. His primary subject of research is the theory of functions of several complex variables and complex analysis.