Survey Of Numerical Analysis

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Survey of Numerical Analysis

Motivation for working in numerical analysis -- Classical numerical analysis -- The constructive theory of functions -- Automatic computers -- Use and limitation of computers -- Matrix computations -- Numerical methods for finding solutions of nonlinear equations -- Eigenvalues of finite matrices -- Numerical methods in ordinary differential equations -- Orthonormalizing codes in numerical analysis -- The numerical solution of elliptic and parabolic partial differential equations -- Numerical methods for integral equations -- Errors of numerical approximation for analytic functions -- Numerical analysis and functional analysis -- Discrete problems -- Number theory -- Linear estimation and related topics.