Numerical Analysis

Richard L. Burden, J. Douglas Faires - Collection Brooks/Cole

850 pages, parution le 14/02/2005 (8^eme édition)

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Résumé

This well-respected text gives an introduction to the modern approximation techniques and explains how, why, and when the techniques can be expected to work. The authors focus on building students' intuition to help them understand why the techniques presented work in general, and why, in some situations, they fail. With a wealth of examples and exercises, the text demonstrates the relevance of numerical analysis to a variety of disciplines and provides ample practice for students. The applications chosen demonstrate concisely how numerical methods can be, and often must be, applied in real-life situations. In this edition, the presentation has been fine-tuned to make the book even more useful to the instructor and more interesting to the reader. Overall, students gain a theoretical understanding of, and a firm basis for future study of, numerical analysis and scientific computing. A more applied text with a different menu of topics is the authors' highly regarded NUMERICAL METHODS, Third Edition.

Benefits

Virtually every concept in the text is illustrated by example, and this edition contains more than 2000 class-tested exercises ranging from elementary applications of methods and algorithms to generalizations and extensions of the theory.
The exercise sets include many applied problems from diverse areas of engineering, as well as from the physical, computer, biological, and social sciences.
The text utilizes Maple® as the standard software package, including extensive listings of Maple code throughout the text. However, Derive® or Mathematica® can be substituted with only minor modifications.
The programs for solutions to representative exercises using the algorithms are available. The programs for each algorithm are written in C, Fortran, and Pascal and they are also coded for Maple, Mathematica, and MATLAB®.
The design of the text gives instructors flexibility in choosing topics they wish to cover, selecting the level of theoretical rigor desired, and deciding which applications are most appropriate or interesting for their classes.

L'auteur - Richard L. Burden

Richard L. Burden is a Professor of Mathematics at Youngstown State University. His research interests include numerical linear algebra and numerical solution of partial differential equations.

L'auteur - J. Douglas Faires

J. Douglas Faires is a Professor of Mathematics at Youngstown State University. His research interests include analysis, numerical analysis, and mathematics history. Dr. Faires has won many awards, including Outstanding College-University Teacher of Mathematics, Ohio Section of MAA (1996) and Youngstown State University, Distinguished Professor for Teaching (1995-1996).

Sommaire

Mathematical preliminaries
Solutions of equations in one variable
Interpolation and polynomial approximation
Numerical differentiation and integration
Initial-value problems for ordinary differential equations
Direct methods for solving linear systems
Iterative techniques in matrix algebra
Approximation theory
Approximating eigenvalues
Numerical solutions of nonlinear systems of equations
Boundary-value problems for ordinary differential equations
Numerical solutions to partial differential equations

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Thomson
Auteur(s)	Richard L. Burden, J. Douglas Faires
Collection	Brooks/Cole
Parution	14/02/2005
Édition	8^eme édition
Nb. de pages	850
Format	20 x 23,5
Couverture	Broché
Poids	1390g
Intérieur	Noir et Blanc
EAN13	9780534404994
ISBN13	978-0-534-40499-4