Approximation of Continuously Differentiable Functions

Preliminary Results. Approximation of Smooth Functions on Manifolds. Simultaneous Approximation of Smooth Functions. Polynomial Approximation of Differentiable Functions. Weakly Continuous Functions on Banach Spaces. Approximation of Weakly Uniformly Differentiable Functions. Approximation for the Compact-Open Topology. Approximation of Weakly Differentiable Functions. Spaces of Differentiable Functions and the Approximation Property. Polynomial Algebras of Continuously Differentiable Functions. On the Closure of Modules of Continuously Differentiable Functions. Homomorphisms Between Algebras of Uniformly Weakly Differentiable Functions. The Paley-Wiener-Schwartz Theorem in Infinite Dimension. Appendix I: Whitney's Spectral Theorem. References. Index.