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Fourier series, 16-27
Function FOURIER, 16-28
Fourier series for a quadratic function, 16-29
Fourier series for a triangular wave, 16-35
Fourier series for a square wave, 16-39
Fourier series applications in differential equations, 16-42
Fourier Transforms, 16-43
Definition of Fourier transforms, 16-46
Properties of the Fourier transform, 16-48
Fast Fourier Transform (FFT) , 16-49
Examples of FFT applications, 16-50
Solution to specific second-order differential equations, 16-53
The Cauchy or Euler equation , 16-53
Legendre’s equation, 16-54
Bessel’s equation, 16-55
Chebyshev or Tchebycheff polynomials, 16-57
Laguerre’s equation, 16-58
Weber’s equation and Hermite polynomials, 16-59
Numerical and graphical solutions to ODEs, 16-60
Numerical solution of first-order ODE, 16-60
Graphical solution of first-order ODE, 16-62
Numerical solution of second-order ODE, 16-64
Graphical solution for a second-order ODE, 16-66
Numerical solution for stiff first-order ODE, 16-68
Numerical solution to ODEs with the SOLVE/DIFF menu, 16-69
Function RKF, 16-70
Function RRK, 16-71
Function RKFSTEP, 16-72
Function RRKSTEP, 16-73
Function RKFST, 16-72
Function RKFERR, 16-72
Function RSBERR, 16-73
Chapter 17 - Probability Applications, 17-1
The MTH/PROBABILITY.. sub-menu - part 1, 17-1
Factorials, combinations, and permutations, 17-1
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