Modern Differential Geometry of Curves and Surfaces

"Modern Differential Geometry of Curves and Surfaces" explains the mathematics of curves and surfaces and describes how to draw the pictures illustrating them using "Mathematica". The reader learns not only the classical concepts, ideas and methods of differential geometry, but also how to define, construct and compute standard functions. The reader also learns how to create new curves and surfaces from old ones. The book should be useful for both the classroom and self-study. Material is presented clearly with over 150 exercises, 175 "Mathematica" programmes and 225 geometric figures to thoroughly develop the topics presented. A brief tutorial explaining how to use "Mathematica" in differential geometry is included as well.