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A Concise Introduction to Numerical Analysis Douglas N. Arnold
This note covers the following topics: Approximation and Interpolation, Numerical Quadrature, Direct Methods of Numerical Linear Algebra, Numerical solution of nonlinear systems and optimization, Numerical Solution of Ordinary Differential Equations, Numerical Solution of Partial Differential Equations and e Iterative Methods of Numerical Linear Algebra.
Author(s): Douglas N. Arnold
211 Pages 
Introduction To Numerical Analysis by MIT
This PDF covers the following topics related to Numerical Analysis : Series and Sequences, Integrals as Sums and Derivatives as Differences, Interpolation, Nonlinear Equations, Methods for Ordinary Differential Equations, Fourier Analysis, Spectral Interpolation, Differentiation, Quadrature.
Author(s): Prof. Laurent Demanet, Massachusetts Institute of Technology
NA Pages
Lecture Notes on Numerical Analysis by Peter J. Olver
This lecture note explains the following topics: Computer Arithmetic, Numerical Solution of Scalar Equations, Matrix Algebra, Gaussian Elimination, Inner Products and Norms, Eigenvalues and Singular Values, Iterative Methods for Linear Systems, Numerical Computation of Eigenvalues, Numerical Solution of Algebraic Systems, Numerical Solution of Ordinary Differential Equations, Numerical Solution of the Heat and Wave Equations, Approximation and Interpolation, The Finite Element Method.
Author(s): Peter J. Olver
NA Pages
Introduction to Numerical Methods
This note explains the following topics: IEEE Arithmetic, Root Finding, Systems of equations, Least-squares approximation, Interpolation, Integration and Ordinary differential equations.
Author(s): Jeffrey R. Chasnov
63 Pages
Numerical Analysis Notes by William G. Faris
This note provides the details about the following topics: Nonlinear equations, Linear Systems, Eigenvalues, Nonlinear systems, Ordinary Differential Equations, Fourier transforms.
Author(s): William G. Faris
96 Pages