/   Mathematics Books /  

Mathematical Analysis Books / Numerical Analysis Books

Numerical Analysis Books

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 Complex Analysis

This note covers the following topics: Fourier Analysis, Least Squares, Normwise Convergence, The Discrete Fourier Transform, The Fast Fourier Transform, Taylor Series, Contour integration, Laurent series, Chebyshev series, Signal smoothing and root finding, Differentiation and integration, Spectral methods, Ultraspherical spectral methods, Functional analysis, Spectrum, Infinite-dimensional linear algebra, Linear partial differential equations, Laplace's equation, Riemann–Hilbert problems, Matrix-valued Riemann–Hilbert.

Author(s):

s NAPages

Introduction to Numerical Analysis by Doron Levy

This lecture note covers the following topics: Methods for Solving Nonlinear Problems, Interpolation, Approximations, Numerical Differentiation and Numerical Integration.

Author(s):

s 127Pages

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):

s NAPages

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):

s 391Pages

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):

s 63Pages

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):

s 96Pages

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):

s 88Pages

Lectures on basic computational numerical analysis (PDF 168P)

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.

Author(s):

s 168Pages

Numerical Analysis I (PDF 47P)

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.

Author(s):

s 47Pages

Basic numerical methods (PDF 58P)

Currently this section contains no detailed description for the page, will update this page soon.

Author(s):

s NAPages

Lectures on Numerical Analysis

This note explains the following topics: Differential and Difference Equations, Numerical Solution of Differential Equations and Numerical linear algebra.

Author(s):

s 125Pages

A Concise Introduction to Numerical Analysis Douglas N. Arnold

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.

Author(s):

s 211Pages

Computational Electronics Numerical Analysis

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

Author(s):

s 15Pages

Numerical Methods Course Notes

Currently this section contains no detailed description for the page, will update this page soon.

Author(s):

s NAPages

Numerical Methods

Currently this section contains no detailed description for the page, will update this page soon.

Author(s):

s NAPages

Numerical Analysis Notes

Currently this section contains no detailed description for the page, will update this page soon.

Author(s):

s NAPages

C Star Algebras in Numerical Analysis

Currently this section contains no detailed description for the page, will update this page soon.

Author(s):

s NAPages

Numerical Methods for Ordinary Differential Equations

Currently this section contains no detailed description for the page, will update this page soon.

Author(s):

s NAPages

Fundamental Numerical Methods and Data Analysis

Currently this section contains no detailed description for the page, will update this page soon.

Author(s):

s NAPages

Numerical Methods and Analysis for Engineers

Currently this section contains no detailed description for the page, will update this page soon.

Author(s):

s NAPages