Fundamentals of numerical mathematics for physicists and engineers / Alvaro Meseguer.

By: Meseguer, Alvaro (Alvaro Meseguer) [author.]
Language: English Publisher: Hoboken, New Jersey : John Wiley & Sons, 2020Description: 1 online resource (xv, 377 pages)Content type: text Media type: computer Carrier type: online resourceISBN: 9781119425755; 9781119425717Subject(s): Numerical analysis | Mathematical physics | Engineering mathematicsGenre/Form: Electronic booksDDC classification: 518 LOC classification: QA297Online resources: Full text available at Wiley Online Library Click here to view
Contents:
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.
Summary: "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"-- Provided by publisher.
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518 M561 2020 (Browse shelf) Available CL-50672
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Includes bibliographical references and index.

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.

"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"-- Provided by publisher.

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