## Applied Numerical Methods for the MicrocomputerRoots of algebraic and transcendental equations. Roots of simultaneous equations. Eigenvalue problems. Ordinary differential equations. Numerical interpolation and curve fitting. Numerical differentiation and integration. Glossary of computer terms. Hex (ASCII table). Time units. Number conversion techniques. RS-232C interface connections. Problems and exercises. |

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### Contents

ORDINARY DIFFERENTIAL EQUATIONS | 5 |

ROOTS OF ALGEBRAIC AND TRANSCENDENTAL | 18 |

ROOTS OF SIMULTANEOUS EQUATIONS | 42 |

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### Common terms and phrases

accuracy algorithm Apple II computer applied approximation Bairstow's method calculation central processing unit circuit coefficients column computer program computer storage convergence curve data values derivative desired device diagonal differential equation digital computer direct methods eigenvalues eigenvectors elimination engineering equation system Figure formula G0SUB Gauss-Jordan Gauss-Jordan elimination Gaussian elimination GOSUB GOTO Hessenberg higher-order terms implement initial guesses input integration interpolation iteration method Jacobi method LARGEST PIVOT Logic flow diagram memory microcomputer microprocessor NCOL Newton iteration Newton's method nonlinear NROW Numerical Analysis Numerical Methods operation PARAMETERS partial pivoting predictor-corrector methods PRINT problem procedure PROGRAM FINDS program required less puter QR algorithm REM D0 REM REM REM REM SET REM THIS PROGRAM result RETURN The output Row Array Runge-Kutta method scientific simultaneous small computer solution solve spline step storage space SUBROUTINE technique tion tridiagonal variable vector zero