Lectures on Differential Geometry with Maple

This text is designed to update the Differential Geometry course by making it more relevant to today’s students. This new approach emphasizes applications and computer programs aimed at twenty-first-century audiences. It is intended for mathematics students, applied scientists, and engineers who attempt to integrate differential geometry techniques in their work or research.

The course can require students to carry out a daunting amount of time-consuming hand computations like the computatio...