Differential geometry is the application of differential calculus in the setting of smooth manifolds (curves, surfaces and higher dimensional examples). Modern differential geometry focuses on …

Next semester (fall 2021) I am planning on taking a grad-student level differential topology course but I have never studied differential geometry which is a pre-requisite for the course. My plan i...

Another alternative may be Boothby - " Introduction to Differentiable Manifolds and Riemannian Geometry " since it also builds everything up starting from multivariable analysis. If you prefer …

Nov 26, 2019 · Knowing differential geometry can help you to, by analogy, understand parts of algebraic geometry, but I would say that the actual material in differential geometry is almost …

I want to study Differential Geometry for General Relativity. I find even the introductory books very tough. My background: College calculus - a general course, not for mathematicians Linear …

Apr 15, 2020 · The Geometry of Jet Bundles by D. J. Saunders, Cambridge University Press: “The purpose of this book is to provide an introduction to the theory of jet bundles for …

Aug 11, 2020 · 1 I found the most understandable explanation in page-98 of Tristan Needham's Visual Differential Geometry book: If a bead of unit mass is launched at unit speed along a …

Oct 28, 2016 · For differential topology (which I find quite different from differential geometry in spirit) I would advise you to take a look at the beautiful short book Differential Topology by Milnor.

Mar 20, 2015 · Since you have tagged this as differential geometry, I'll assume you're talking about smooth manifolds. The essential idea is that, if you are an itty-bitty person living in the …

"Elementary Differential Geometry presents the main results in the differential geometry of curves and surfaces suitable for a first course on the subject. Prerequisites are kept to an absolute …