Explorations in Numerical Analysis - Couverture rigide

Lambers, James V; Mooney, Amber C Sumner

 
9789813209961: Explorations in Numerical Analysis

Synopsis

This textbook introduces advanced undergraduate and early-career graduate students to the field of numerical analysis. This field pertains to the design, analysis, and implementation of algorithms for the approximate solution of mathematical problems that arise in applications spanning science and engineering, and are not practical to solve using analytical techniques such as those taught in courses in calculus, linear algebra or differential equations. Topics covered include error analysis, computer arithmetic, solution of systems of linear equations, least squares problems, eigenvalue problems, polynomial interpolation and approximation, numerical differentiation and integration, nonlinear equations and ordinary differential equations. For each problem considered, the presentation includes the derivation of solution techniques, analysis of their efficiency, accuracy and robustness, and details of their implementation, illustrated through the MATLAB programming language. This text is suitable for a year-long sequence in numerical analysis, and can also be used for a one-semester course in numerical linear algebra.

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Autres éditions populaires du même titre

9789813209978: Explorations In Numerical Analysis

Edition présentée

ISBN 10 :  9813209976 ISBN 13 :  9789813209978
Editeur : WSPC, 2018
Couverture souple