Date of Award
6-13-2014
Document Type
Thesis
Degree Name
Mathematics, MS
First Advisor
Jie Miao
Committee Members
Suzanne Melescue; William Paulsen
Call Number
LD 251 .A566t 2014 L36
Abstract
In this thesis, we consider a classical problem in real analysis: the construction of continuous but differentiable nowhere functions. This problem has a long history in mathematics starting with Weierstrass's first example in 1872. We use an approach developed by Kiesswetter in 1966 and find the generalized Kiesswetter's functions. We establish a criterion for such generalizations and show how such functions can be understood geometrically.
Rights Management
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
Li, Delong, "Continuous Everywhere but Differentiable Nowhere Functions" (2014). Student Theses and Dissertations. 761.
https://arch.astate.edu/all-etd/761
