This carefully written book is an introduction to the beautiful ideas and results of differential geometry. The first half covers the geometry of curves and surfaces, which provide much of the motivation and intuition for the general theory. The second part studies the geometry of general manifolds, with particular emphasis on connections and curvature. The text is illustrated with many figures and examples. The prerequisites are undergraduate analysis and linear algebra. This new edition provides many advancements, including more figures and exercises, and--as a new feature--a good number of solutions to selected exercises.
Studies in Geometry
Describes the drawing of plane curves, cycloidal curves, spirals, glissettes and others.
The program works with any computer using Windows.
Curve Sketching
Curve-Sketching
Cartesian and Polar Curve Sketching