In the space of continuous functions of a real variable, the set of nowhere differentiable functions has long been known to be topologically "generic". In this paper it is shown further that in a ...

We prove the result stated in the title; that is, every separable Banach space is linearly isometric to a closed subspace E of the space of continuous functions on [ 0, 1 ], such that every nonzero ...

These notes contain all important topics related to Continuity and Differentiability like continuous functions, sum, difference, product and quotient of continuous functions, differentiable ...

These notes are prepared by Subject Experts of Mathematics including all important topics related to chapter Continuity and Differentiability like continuous functions, sum, difference, product ...

Provides a rigorous treatment of topics covered in Calculus 1 and 2. Topics include convergent sequences; continuous functions; differentiable functions; Darboux sums, Riemann sums, and integration; ...