"Elementary Differential Geometry" by Andrew Pressley is a highly regarded textbook that has been widely used by students and researchers in the field of differential geometry. The book provides a comprehensive introduction to the subject, covering both the theoretical and practical aspects of differential geometry.
She closed the PDF. Elementary Differential Geometry by Andrew Pressley. The cover was a green torus. She had read it so many times the spine of the digital file was worn out in her mind. But tonight, she realized the book wasn’t about curves or surfaces. It was about the fact that curvature is local, but connection—affine connection, the rule for how vectors change as you move—that is global.
While it is easy to find sites offering a free download of Elementary Differential Geometry by Andrew Pressley, it is crucial to understand the landscape:
She blushed. “He said the geodesic curvature was zero for all straight lines in the plane. I just pointed out—‘straight’ on a sphere is a great circle, but its geodesic curvature is zero, too, even though it’s curved in space.’”
Pressley is the clear winner for self-learners or students in a one-semester introduction.