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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 
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 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
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
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