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Numerical mathematics

Author: Alfio Quarteroni; Riccardo Sacco; Fausto Saleri
Publisher: Berlin : Springer, 2010.
Series: Texts in applied mathematics, 37.
Edition/Format:   Print book : English : 2nd edView all editions and formats
Summary:
The improved second edition of this book provides the mathematical foundations of numerical methods. It demonstrates their performance on examples, exercises and real-life applications using the MATLAB software environment.
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Genre/Form: Textbooks
Document Type: Book
All Authors / Contributors: Alfio Quarteroni; Riccardo Sacco; Fausto Saleri
ISBN: 9783642071010 3642071015 9783540498094 3540498095
OCLC Number: 1086233106
Notes: This ed. originally published: 2007.
Description: xviii, 655 p. : ill. ; 24 cm.
Contents: Series Preface.- Preface.- I Getting Started.- 1. Foundations of Matrix Analysis.- 2 Principles of Numerical Mathematics.- II Numerical Linear Algebra.- 3 Direct Methods for the Solution of Linear Systems.- 4 Iterative Methods for Solving Linear Systems.- 5 Approximation of Eigenvalues and Eigenvectors.- III Around Functions and Functionals.- 6 Rootfinding for Nonlinear Equations.- 7 Nonlinear Systems and Numerical Optimization.- 8 Polynomial Interpolation.- 9 Numerical Integration.- IV Transforms, Differentiation and Problem Discretization.- 10 Orthogonal Polynomials in Approximation Theory.- 11 Numerical Solution of Ordinary Differential Equations.- 12 Two-Point Boundary Value Problems.- 13 Parabolic and Hyperbolic Initial Boundary Value Problems.- References.- Index of MATLAB Programs.- Index.
Series Title: Texts in applied mathematics, 37.
Responsibility: Alfio Quarteroni, Riccardo Sacco, Fausto Saleri.

Abstract:

This book provides the mathematical foundations of numerical methods and demonstrates their performance on examples, exercises and real-life applications. In the second edition of this extremely  Read more...

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From the reviews of the first edition:SIAM REVIEW"I found many of the examples to be quite interesting. I find no fault with any of the theoretical portions of the text. The authors are quite Read more...

 
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