Lectures on Classical Differential Geometry: Second Edition(英文原版进口)

.2-3 normal, tangent plane
2-4 developable surfaces
2-5 second fundamental form. meusnier's theorem
2-6 euler's theorem
2-7 dupin's indicatrix
2-8 some surfaces
2-9 a geometrical interpretation of asymptotic and curvature lines
2-10 conjugate directions
2-11 triply orthogonal systems of surfaces
chapter 3. the fundamental equations
3-1 gauss
3-2 the equations of gauss-weingarten
3-3 the theorem of gauss and the equations of codazzi..
3-4 curvilinear coordinates in space
3-5 some applications of the gauss and the codazzi equations
3-6 the fundamental theorem of surface theory
chapter 4. geometry on a surface
4-1 geodesic (tangential) curvature
4-2 geodesics
4-3 geodesic coordinates
4-4 geodesics as extremals of a variational problem
4-5 surfaces of constant curvature
4-6 rotation surfaces of constant curvature
4-7 non-euclidean geometry
4-8 the gauss-bonnet theorem
chapter 5. some special subjects
5.1 envelopes
5-2 conformal mapping
5-3 isometric and geodesic mapping
5-4 minimal surfaces
5-5 ruled surfaces
5-6 imaginaries in surface theory
some problems and propositions
appendix: the method of pfaffians in the theory of curves and surfaces
answers to problems
index...