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Viser: Numerical Mathematics
Numerical Mathematics
Alfio M. Quarteroni, Riccardo Sacco og Fausto Saleri
(2006)
Sprog: Engelsk
Springer Berlin / Heidelberg
1.292,00 kr.
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Detaljer om varen
- 2. Udgave
- Hardback: 655 sider
- Udgiver: Springer Berlin / Heidelberg (Oktober 2006)
- Forfattere: Alfio M. Quarteroni, Riccardo Sacco og Fausto Saleri
- ISBN: 9783540346586
This book provides the mathematical foundations of numerical methods and demonstrates their performance on examples, exercises and real-life applications. This is done using the MATLAB software environment, which allows an easy implementation and testing of the algorithms for any specific class of problems. The book is addressed to students in Engineering, Mathematics, Physics and Computer Sciences. In the second edition of this extremely popular textbook on numerical analysis, the readability of pictures, tables and program headings has been improved. Several changes in the chapters on iterative methods and on polynomial approximation have also been
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.
- 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.
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