1. Mathematical review and computer arithmetic -- 2. Numerical solution of nonlinear equations of one variable -- 3. Numerical linear algebra -- 4. Approximation theory -- 5. Eigenvalue-Eigenvector computation -- 6. Numerical differentiation and integration -- 7. Initial value problems for ordinary differential equations -- 8. Numerical solution of systems of nonlinear equations -- 9. Optimization -- 10. Boundary-value problems and integral equations
Summary
Mathematical Review and Computer Arithmetic Mathematical Review Computer Arithmetic Interval ComputationsNumerical Solution of Nonlinear Equations of One Variable Introduction Bisection Method The Fixed Point Method Newton's Method (Newton-Raphson Method) The Univariate Interval Newton MethodSecant Method and Müller's Method Aitken Acceleration and Steffensen's Method Roots of Polynomials Additional Notes and SummaryNumerical Linear Algebra Basic Results from Linear Algebra Normed Linear Spaces Direct Methods for Solving Linear SystemsIterative Methods for Solving Linear SystemsThe Singular Va