Conte S.D., de Boor C. Elementary Numerical Analysis: An Algorithmic Approach Updated with MatLAB

Philadelphia: SIAM, 2018. — 482 p.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.Preface to the Classics EditionErrata
Number Systems and Errors
Interpolation by Polynomial
The Solution of Nonlinear Equations
Matrices and Systems of Linear Equations
Systems of Equations and Unconstrained Optimization
Approximation
Differentiation and Integration
The Solution of Differential Equations
Boundary Value Problems
Appendix: Subroutine Libraries
Appendix: New MatLAB Programs