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.
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.