Generalization to nonlinear stationary problems. 1.Lipchitz continuous, strongly monotone operators, the projection-interaction method, and monotone potential operators. 2.Monotone operators and Quasi-linear elliptic differential equations. 3.Pseudomonotone operators and Quasi-linear elliptic differential equations. 4.Monotone operators and Hammerstein integral equations. 5.Noncoercive equations, nonlinear fredholm alternatives, locally monotone operators, stability, and bifurcation. Generalization to nonlinear nonstationary problems. 6.First-order evolution equations and the galerkin method. 7.Maximal accretive operators, nonlinear nonexpansive semigroups, and first-order evolution equations. 8.Maximal monotone mapping. 9.Second- order evolution equations and the galerkin method. General theory of discretization methods. 10.External approximation schemes, A-proper operators, and the difference method. 11.Mapping degree for A-proper operators.