Schaum's Outline of Differential GeometryMcGraw Hill Professional, 1969. 6. 22. - 269페이지 Confusing Textbooks? Missed Lectures? Not Enough Time? Fortunately for you, there's Schaum's Outlines. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills. This Schaum's Outline gives you
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2M du dv a(cos a(sin arbitrary asymptotic lines called class Cm compact components constant contravariant coordinate patch cos² covariant curvature vector defined derivatives dt dt du² dv² e₁ equation Example exists f is continuous f(to families of curves follows fundamental form Gaussian curvature geodesic geodesic curvature helix Hence indicatrix intersection K₁ K₂ lim f(t limit point linear linearly independent lines of curvature neighborhood normal curvature normal line open set ORDER CODE orientation orthogonal osculating plane parallel patch containing principal curvatures principal directions Prove Theorem radius regular arc regular curve regular parametric representation required result scalar Show shown in Fig simple surface sin2 sphere suppose surface of class t-to t)e₁ t)e₂ tangent plane tensor torus u₁ umbilical point v-parameter curves ve₂ x₁ x1x2 plane δυ Χυ ди диа див дуг ез