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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
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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.

 
Basic Numerical Methods and FreeMat (PDF 40P)

PDF | 40 Pages | English
This 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)

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.

 
Numerical Analysis Basics

Online | NA Pages | English
This note explains the following topics: Representation of Physical Phenomena, Basis of Numerical Methods, Errors in Numerical Methods.

 
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.

 
Computational Electronics Numerical Analysis

PDF | 15 Pages | English
This note covers the following topics: Numerical Solution of Algebraic Equations, Gauss Elimination Method, LU Decomposition Method, Iterative Methods, Successive Over-Relaxation (SOR) Method.

 
Numerical Analysis

PDF | 44 Pages | English
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.

 
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
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