Differential Geometry.

manpreet Best Answer 2 years ago

Im taking a dif-geo class but i haven't done math in 3 years or so. Any suggestions on where i could look up some information or any other resources to put me in a better position for this class? (second year stuff regarding planes etc that i could review)

I really would like to see a relate able Implicit function theorem and proof it seems to be very important in the class. Maybe a even book with a slow pace and some simple examples regarding surfaces. My textbook is almost incomprehensibly complicated and my prof isnt following it that closely.

Edit:

TEXT Millman and Parker, Elements of Differential Geometry. Prentice-Hall.

SYLLABUS Curves in the plane and in 3-space, curvature and torsion, Frenet-Serret apparatus, surfaces in 3-space, Gaussian and mean curvature, Therema Egregium, Gauss-Bonnet theorem, elements of non-euclidean geometry.

TOPICS The goal of the course is to introduce some of the basic notions of differential geometry in 3-space. We will study chapters 1,2,4 and 6 of the text. We will make several excursions to explore additional topics, provided time permits.

manpreet 2 years ago