I. Complete Minimal Surfaces in Rn -- ยง1. Intrinsic Surface Theory -- ยง2 Immersed Surfaces in Euclidean Space -- ยง3. Minimal Surfaces and the Gauss Map -- ยง4. Algebraic Gauss Maps -- ยง5. Examples -- ยง6. Minimal Immersions of Punctured Compact Riemann Surfaces -- ยง7. The Bernsteinโ{128}{148}Osserman Theorem -- II. Compact Minimal Surfaces in Sn -- ยง1. Moving Frames -- ยง2. Minimal Twoโ{128}{148}Spheres in Sn -- ยง3. The Twistor Fibration -- ยง4. Minimal Surfaces in ?P1 -- ยง5. Examples -- III. Holomorphic Curves and Minimal Surfaces in CPn -- ยง1. Hermitian Geometry and Singular Metrics on a Riemann Surface -- ยง2. Holomorphic Curves in ?Pn -- ยง3. Minimal Surfaces in a Kahler Manifold -- ยง4. Minimal Surfaces Associated to a Holomorphic Curve -- IV. Holomorphic Curves and Minimal Surfaces in the Quadric -- ยง1 Immersed Holomorphic Curves in the Twoโ{128}{148}Quadric -- ยง2. Holomorphic Curves in Q2 -- ยง3. Horizontal Holomorphic Curves in SO(m)โ{128}{148}Flag Manifolds -- ยง4. Associated Minimal Surfaces -- ยง5 Minimal Surfaces in the Quaternionic Projective Space -- V. The Twistor Method -- ยง1. The Hermitian Symmetric Space SO(2n)/U(m) -- ยง2. The Orthogonal Twistor Bundle -- ยง3. Applications: Isotropic Surfaces and Minimal Surfaces -- ยง4. Selfโ{128}{148}Duality in Riemannian Fourโ{128}{148}Manifolds