This book introduces plane curves on time scales. They are deducted
the Frenet equations for plane and space curves. In the book is
presented the basic theory of surfaces on time scales. They are
defined tangent plane, \sigma_1 and \sigma_2 tangent planes,
normal, \sigma_1 and \sigma_2 normals to a surface. They are
introduced differentiable maps and differentials on surface. This
book provides the first and second fundamental forms of surfaces on
time scales. They are introduced minimal surfaces and geodesics on
time scales. In the book are studied the covaraint derivatives on
time scales, pseudo-spherical surfaces and \sigma_1, \sigma_2
manifolds on time scales.
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