... help¹

On this course we use the computer algebra package Mathematica [10] to perform calculus and create graphics for curves and surfaces; Gray [6] provides the necessary Mathematica input to plot and study virtually all named curves and surfaces and perform analytic calculations on them--including the solution of geodesic equations on the surfaces and construction of curves with prescribed curvature and torsion. The necessary files can be found via the web server
http://www.ma.umist.ac.uk/kd/mmaprogs/AREADMEFILE
An important source of curves is from solutions of ordinary differential equations. Gray et al. [7] provided a definitive text on this subject, together with associated Mathematica functions to solve ordinary differential equations analytically and numerically, and plot families of solutions. The necessary files can be found via the web server http://www.ma.umist.ac.uk/kd/ode/ode.htm

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... curve²

An animated Frenet-Serret frame graphic for this curve is given at http://www.ma.umist.ac.uk/kd/mmaprogs/viviani.gif

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