Introduction to Numerical Analysis by Doron LevyDoron LevyPDF  127 Pages  EnglishThis lecture note covers
the following topics: Methods for Solving Nonlinear Problems,
Interpolation, Approximations, Numerical Differentiation and Numerical
Integration.

Lecture Notes on Numerical Analysis by Peter J. OlverPeter J. OlverOnline  NA Pages  EnglishThis 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.

Lecture Notes on Numerical Analysis of Nonlinear EquationsEusebius DoedelPDF  391 Pages  EnglishThis book
covers the following topics: The Implicit Function Theorem, A PredatorPrey
Model, The GelfandBratu 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.

Introduction to Numerical MethodsJeffrey R. ChasnovPDF  63 Pages  EnglishThis note explains the
following topics: IEEE Arithmetic, Root Finding, Systems of equations,
Leastsquares approximation, Interpolation, Integration and Ordinary
differential equations.

Introduction to Numerical AnalysisHomer ReidOnline  NA Pages  EnglishThis course note is an exploration
of the art and science of extracting numbers from mathematical expressions.

Numerical Analysis Notes by William G. FarisWilliam G. FarisPDF  96 Pages  EnglishThis note provides the details about the following
topics: Nonlinear equations, Linear Systems, Eigenvalues, Nonlinear systems,
Ordinary Differential Equations, Fourier transforms.



Basic Numerical Methods and FreeMat (PDF 40P)Timothy Cyders and Gary SchaeferPDF  40 Pages  EnglishThis
note explains the following topics related to Numerical Methods and FreeMat:
Root Finding, Numerical Differentiation, Numerical Integration, Initial Value
Problems, Boundary Value Problems, Partial Differential Equations and the Finite
Element Method.

Numerical Analysis I (PDF 47P)M.R. O’DonohoePDF  47 Pages  EnglishThis note explains
the following topics: Floatingpoint arithmetic, Error analysis , Solving quadratics,
Computational complexity, IEEE Floatingpoint Standards, Elementary numerical
methods, Simultaneous linear equations, Choleski factorization, Nonlinear
equations, Quadrature and Numerical software.

Basic numerical methods (PDF 58P) 
Lectures on Numerical AnalysisDennis
Deturck and Herbert S. WilfPDF  125 Pages  EnglishThis note explains the following topics:
Differential and Difference Equations, Numerical Solution of Differential
Equations and Numerical linear algebra.

A Concise Introduction to Numerical Analysis Douglas N. ArnoldDouglas
N. ArnoldPDF  211 Pages  EnglishThis 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.

Numerical Methods Course Notes 
Numerical Methods 
Numerical Analysis Notes 
C Star Algebras in Numerical Analysis 
Numerical Analysis and Parabolic Equations 
Linear Algebra and Numerical Methods 
Numerical Methods for Ordinary Differential Equations 
Fundamental Numerical Methods and Data Analysis 
Numerical Methods and Analysis for Engineers 