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This section contains free e-books and guides on Numerical Analysis, some of the resources in this section can be viewed online and some of them can be downloaded.

Numerical Analysis Books
Online Books
Lecture Notes on Numerical Analysis by Ruennhwa Ferng

PDF | 184 Pages | English
This lecture note covers the following topics: Mathematical Preliminaries, Computer Arithmetic, Direct Methods For Solving Systems Of Linear Equations, Iterative Methods For Solving Systems Of Linear Equations, Solutions Of Non Linear Equations, Interpolation, Numerical Differentiation And Integration, Boundary Value Problems For Ordinary Differential Equation.

 
Numerical Analysis I by Peter Philip

PDF | 159 Pages | English
This note explains the following topics: Rounding and Error Analysis, Floating-Point Numbers Arithmetic, Landau Symbols, Rounding, Interpolation, Numerical Integration, Newton-Cotes Formulas, Gaussian Quadrature, Numerical Solution of Linear Systems, Iterative Methods, Solution of Nonlinear Equations.

 
Introduction to Numerical Analysis by Doron Levy

PDF | 127 Pages | English
This 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. Olver

Online | NA Pages | English
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.

 
Lecture Notes on Numerical Analysis of Nonlinear Equations

PDF | 391 Pages | English
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.

 
Introduction to Numerical Methods

PDF | 63 Pages | English
This note explains the following topics: IEEE Arithmetic, Root Finding, Systems of equations, Least-squares approximation, Interpolation, Integration and Ordinary differential equations.

 
Introduction to Numerical Analysis

Online | NA Pages | English
This course note is an exploration of the art and science of extracting numbers from mathematical expressions.

 
Numerical Analysis Notes by William G. Faris

PDF | 96 Pages | English
This note provides the details about the following topics: Nonlinear equations, Linear Systems, Eigenvalues, Nonlinear systems, Ordinary Differential Equations, Fourier transforms.

 
Lecture notes on Numerical Analysis of Partial Differential Equation

PDF | 88 Pages | English
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.

 
Lectures on basic computational numerical analysis (PDF 168P)

PDF | 168 Pages | English
This note contains the following subtopics such as Numerical Linear Algebra, Solution of Nonlinear Equations, Approximation Theory, Numerical Solution of ODEs and Numerical Solution of PDEs.

 
Numerical Analysis I (PDF 47P)

PDF | 47 Pages | English
This note explains the following topics: Floating-point arithmetic, Error analysis , Solving quadratics, Computational complexity, IEEE Floating-point Standards, Elementary numerical methods, Simultaneous linear equations, Choleski factorization, Non-linear equations, Quadrature and Numerical software.

 
Basic numerical methods (PDF 58P)
Lectures on Numerical Analysis

PDF | 125 Pages | English
This 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. Arnold

PDF | 211 Pages | English
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.

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