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Numerical Analysis
This text includes the following chapters: Introduction to MATLAB, Root Approximations and Partial Fraction Expansion, Sinusoids and Complex Numbers, Matrices and Determinants, Review of Differential Equations, Power Series, Finite Differences and Interpolation, Linear and Parabolic Regression, Solution of Differential Equations by Numerical Methods, Integration by Numerical Methods, Difference Equations, The Gamma and Beta Functions, Bessel, Legendre, and Chebyshev Polynomials.
Author(s): Steven T. Karris
44 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
Lecture Notes on Numerical Analysis of Nonlinear Equations
This book covers the following topics: The Implicit Function Theorem, A Predator-Prey Model, The Gelfand-Bratu Problem, Numerical Continuation, Following Folds, Numerical Treatment of Bifurcations, Examples of Bifurcations, Boundary Value Problems, Orthogonal Collocation , Hopf Bifurcation and Periodic Solutions, Computing Periodic Solutions, Periodic Orbit Folds , Stable and Unstable Manifolds.
Author(s): Eusebius Doedel
391 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
Lecture notes on Numerical Analysis of Partial Differential Equation
This note explains the following topics: finite difference method for the Laplacian, Linear algebraic solve, Finite element methods for elliptic equation and Time-dependent problem.
Author(s): Douglas N. Arnold
88 Pages