Include bibliographical references and index.

Some sample problems -- Some background material -- Solution manifolds and their parameterizations -- Discretization errors -- One-distributions and augmented equations -- A continuation method -- Some numerical examples -- The computation of limit points -- Differential equations on manifolds -- Error estimates and related topics.

One of the leading experts in the field discusses recent developments in the numerical analysis of nonlinear equations involving a finite number of parameters, and shows how these equations can be developed on a differential geometric basis.