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A Survey of Numerical Mathematics

In Two Volumes - Volume II

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Designed for a three-semester course in numerical analysis, this highly regarded work provides a comprehensive overview of computer-oriented numerical algorithms for solving various mathematical problems. It aims to impart practical techniques for real-world problem-solving while preparing students for advanced graduate studies. Key topics include the evaluation of elementary functions, solutions of nonlinear equations (with a focus on polynomial equations), interpolation and approximation, numerical differentiation, quadrature, ordinary differential equations, and computational issues in linear algebra. It also covers the numerical solution of elliptic and parabolic partial differential equations using finite difference methods, as well as iterative methods for large linear systems. In addition to fundamental concepts, the text features an introduction to computer arithmetic and error analysis of linear algebraic equations with rational coefficients, emphasizing both computational and mathematical aspects. Targeted at senior undergraduates and first-year graduate students, it assumes prior knowledge of advanced calculus, elementary complex analysis, matrix theory, and differential equations, yet remains largely self-contained with basic material summarized in an appendix, making it suitable for self-study. This resource serves as an ideal course text in numerical analysis or as a supplementary guide in numerical methods, eff

Acquisto del libro

A Survey of Numerical Mathematics, David M. Young, Robert Todd Gregory

Lingua
Pubblicato
1988
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Metodi di pagamento

Titolo
A Survey of Numerical Mathematics
Sottotitolo
In Two Volumes - Volume II
Lingua
Inglese
Pubblicato
1988
Formato
In brossura
Pagine
669
ISBN10
0486656926
ISBN13
9780486656922
Serie
Descrizione
Designed for a three-semester course in numerical analysis, this highly regarded work provides a comprehensive overview of computer-oriented numerical algorithms for solving various mathematical problems. It aims to impart practical techniques for real-world problem-solving while preparing students for advanced graduate studies. Key topics include the evaluation of elementary functions, solutions of nonlinear equations (with a focus on polynomial equations), interpolation and approximation, numerical differentiation, quadrature, ordinary differential equations, and computational issues in linear algebra. It also covers the numerical solution of elliptic and parabolic partial differential equations using finite difference methods, as well as iterative methods for large linear systems. In addition to fundamental concepts, the text features an introduction to computer arithmetic and error analysis of linear algebraic equations with rational coefficients, emphasizing both computational and mathematical aspects. Targeted at senior undergraduates and first-year graduate students, it assumes prior knowledge of advanced calculus, elementary complex analysis, matrix theory, and differential equations, yet remains largely self-contained with basic material summarized in an appendix, making it suitable for self-study. This resource serves as an ideal course text in numerical analysis or as a supplementary guide in numerical methods, eff