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Full Description
This book provides a thorough and careful introduction to the theory and practice of scientific computing at an elementary, yet rigorous, level, from theory via examples and algorithms to computer programs. The original FORTRAN programs have been rewritten in MATLAB and now appear in a new appendix and online, offering a modernized version of this classic reference for basic numerical algorithms.
Contents
Preface to the Classics Edition
Preface
Errata
Introduction
Chapter 1: Number Systems and Errors
Chapter 2: Interpolation by Polynomial
Chapter 3: The Solution of Nonlinear Equations
Chapter 4: Matrices and Systems of Linear Equations
Chapter 5: Systems of Equations and Unconstrained Optimization
Chapter 6: Approximation
Chapter 7: Differentiation and Integration
Chapter 8: The Solution of Differential Equations
Chapter 9: Boundary Value Problems
Appendix: Subroutine Libraries
Appendix: New MATLAB Programs
References
Index