Numerical Analysis (10th Edition)

Solutions and explanations
Mathematical Preliminaries and Error Analysis
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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