 
Outline
 Preface
 Introduction
 Numerical methods for linear inhomogeneous sets of equations
 Interpolation of point sets
 Least squares approximation
 The basic problem
 Mathematical formulation of the problem
 Statistical analysis of the least squares problem
 Model Functions with Linear Parameters
 Model functions with non linear parameters
 Addons
 Apps
 Numerical solution of equations
 Numerical Integration
 Numerical integration of point wise integrands
 Trapezoidal rule
 Simpson's rule
 Use of quadrature formulas
 The composite trapezoidal and Simpson formula
 An efficient implementation of the trapezoidal formula
 The programs QTRAP and TRAPZD
 The Romberg method
 The Gaussian quadrature formula
 Numerical calculation of improper integrals
 Variant of the Gaussian quadrature
 Multiple integrals
 Apps
 Eigenvalues and Eigenvectors of real matrices
 Introduction: general and regular eigenvalue problems
 Numerical solution of regular eigenvalue problems
 The method of von Mises
 The method of Jacobi
 Eigenvalues of generic real matrices
 Apps
 Numerical methods for ordinary differential equations: initial value problems
 General considerations
 Expansion of the solution in Taylor series
 Euler's method
 RungeKutta Methods
 The programs ODEINT, RKQC and RK4
 The RungeKuttaFehlberg method
 Other numerical methods for initial value problems
 References
 Numerical methods for ordinary differential equations: boundary value problems
 The secondorder linear boundary value problem
 Numerical treatment of the inhomogeneous BVP using the difference method
 Numerical solution of the homogeneous BVP using difference method
 The shooting method
 Apps
 Computer supported measurement techniques
 Bibliography
 Fortran library
 Example apps
