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'Optimal Solution of Nonlinear Equations' is a text/monograph designed to provide an overview of optimal computational methods for the solution of nonlinear equations, fixed points of contractive and noncontractive mapping and for the computation of the topological degree. It is of interest to any reader working in the area of information-based complexity.

Differential equations, Nonlinear --- Mathematical optimization. --- Fixed point theory. --- Topological degree. --- Degree, Topological --- Degree (Topology) --- Degree theory --- Algebraic topology --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Fixed point theorems (Topology) --- Nonlinear operators --- Coincidence theory (Mathematics) --- Numerical analysis --- Numerical solutions. --- Fixed point theory --- Mathematical optimization --- Topological degree --- Differential equations, Nonlinear - Numerical solutions --- Analyse numérique. --- Équations. --- Théories non linéaires. --- Equations --- Nonlinear theories --- Topologie algébrique. --- Degré topologique.

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'Selected Topics in Approximation and Computation' is a combination of expositions of basic classical methods of approximation leading to popular splines and new explicit tools of computation, including sinc methods, elliptic function methods and positive operator approximation methods. It also provides an excellent summary of worst case analysis in information based complexity. It relates optimal computational methods e=with the theory of s-numbers and m-widths.

Approximation theory. --- Theory of approximation --- Functional analysis --- Functions --- Polynomials --- Chebyshev systems