Fundamentals of numerical mathematics for physicists and engineers
First Statement of Responsibility
Alvaro Meseguer.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Hoboken, NJ
Name of Publisher, Distributor, etc.
Wiley
Date of Publication, Distribution, etc.
2020.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
xv, 377 p.
Other Physical Details
ill.
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references and index.
CONTENTS NOTE
Text of Note
Solution methods for scalar nonlinear equations -- Polynomial interpolation -- Numerical differentiation -- Numerical integration -- Numerical linear algebra -- Systems of nonlinear equations -- Numerical fourier analysis -- Ordinary differential equations.
0
SUMMARY OR ABSTRACT
Text of Note
"This book helps readers understand the mathematical and algorithmic elements that lie beneath numerical and computational methodologies in order to determine the suitability of certain methods for solving a given problem. This book is broken into two parts. Part I addresses the root finding of univariate trascendental equations, polynomial interpolation, numerical differentiation and numerical integration. Part II addresses slightly more advanced topics such as introductory numerical linear algebra, parameter dependent systems of nonlinear equations, approximation theory and ordinary differential equations (initial value problems and univariate boundary value problems). This book contains examples related to problems in classical mechanics, thermodynamics, electromagnetism and quantum physics. The author discusses Bisection method, computational cost, Barycentric interpolatory formula, Fixed point iteration method, and Linear Multistep Formulas (LMSF). Each section concludes with Matlab practicals and problem and exercise sets"--
TOPICAL NAME USED AS SUBJECT
Entry Element
Numerical analysis.
Entry Element
Mathematical physics.
Entry Element
Engineering mathematics.
DEWEY DECIMAL CLASSIFICATION
Edition
23
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA297
Book number
.
M457
2020
PERSONAL NAME - PRIMARY RESPONSIBILITY
Entry Element
Meseguer, Alvaro
ORIGINATING SOURCE
Country
Iran
Agency
University of Tehran. Library of College of Science