Continuous Nowhere Differentiable Functions The Monsters of Analysis /

• Main Authors: Jarnicki, Marek (Author), Pflug, Peter (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Edition: 1st ed. 2015.
• Series: Springer Monographs in Mathematics,
• Subjects: Mathematics.; Fourier analysis.; Functional analysis.; Functions of real variables.; Real Functions.; Fourier Analysis.; Functional Analysis.

This book covers the construction, analysis, and theory of continuous nowhere differentiable functions, comprehensively and accessibly. After illuminating the significance of the subject through an overview of its history, the reader is introduced to the sophisticated toolkit of ideas and tricks use...

Table of Contents:

• 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.