% Copyright The Numerical Algorithms Group Limited 1992-1994. % Certain derivative-work portions Copyright (C) 1988 by Leslie Lamport. % All rights reserved %------------------------------------------------------------------------ \begin{page}{TopicPage}{\Language{} Topics} %------------------------------------------------------------------------ \beginscroll Select a topic below: % or %\lispmemolink{search}{(|htTutorialSearch| '|\stringvalue{pattern}|))} %for string (use {\em *} for wild card): %\newline\inputstring{pattern}{58}{} \beginmenu \menumemolink{Numbers}{NumberPage}\tab{18} A look at different types of numbers \menumemolink{Polynomials}{PolynomialPage}\tab{18} Polynomials in \Language{} % \menumemolink{Functions}{FunctionPage}\tab{18} Built-in and user-defined functions % \menumemolink{Solving Equations}{EquationPage}\tab{18} Facilities for solving equations % \menumemolink{Calculus}{CalculusPage}\tab{18} Using \Language{} to do calculus % \menumemolink{Linear Algebra}{LinAlgPage}\tab{18} \Language{}'s linear algebra facilities % \menumemolink{Graphics}{GraphicsPage}\tab{18} \Language{}'s graphics facilities % \menumemolink{Algebra}{AlgebraPage}\tab{18} \Language{}'s abstract algebra facilities % \endmenu \endscroll \end{page} %------------------------------------------------------------------------ \begin{page}{EquationPage}{Solving Equations} %------------------------------------------------------------------------ \beginscroll \Language{} lets you solve equations of various types: \beginmenu \menulink{Solution of Systems of Linear Equations}{ugxProblemLinSysPage} \newline Solve systems of linear equations. \menulink{Solution of a Single Polynomial Equation}{ugxProblemOnePolPage} \newline Find roots of polynomials. \menulink{Solution of Systems of Polynomial Equations}{ugxProblemPolSysPage} \newline Solve systems of polynomial equations. \menulink{Solution of Differential Equations}{ugProblemDEQPage} \newline Closed form and series solutions of differential equations. \endmenu \endscroll \autobuttons \end{page} %------------------------------------------------------------------------ \begin{page}{LinAlgPage}{Linear Algebra} %------------------------------------------------------------------------ \beginscroll \beginmenu \menulink{Introduction}{ugIntroTwoDimPage}\newline Create and manipulate matrices. Work with the entries of a matrix. Perform matrix arithmetic. \menulink{Creating Matrices}{ugxMatrixCreatePage} \newline Create matrices from scratch and from other matrices. \menulink{Operations on Matrices}{ugxMatrixOpsPage} \newline Algebraic manipulations with matrices. Compute the inverse, determinant and trace of a matrix. Find the rank, nullspace and row echelon form of a matrix. \menulink{Eigenvalues and Eigenvectors}{ugProblemEigenPage} \newline How to compute eigenvalues and eigenvectors. \endmenu \horizontalline\newline Additional Topics: \beginmenu \menulink{Example: Determinant of a Hilbert Matrix}{ugxFloatHilbertPage} \menulink{Computing the Permanent}{PermanentXmpPage} \menulink{Working with Vectors}{VectorXmpPage} \menulink{Working with Square Matrices}{SquareMatrixXmpPage} \menulink{Working with One-Dimensional Arrays}{OneDimensionalArrayXmpPage} \menulink{Working with Two-Dimensional Arrays}{TwoDimensionalArrayXmpPage} \menulink{Conversion (Polynomials of Matrices)}{ugTypesConvertPage} \endmenu \endscroll \autobuttons \end{page} %------------------------------------------------------------------------ \begin{page}{CalculusPage}{Calculus} %------------------------------------------------------------------------ \beginscroll \beginmenu \menulink{Limits}{ugProblemLimitsPage} \tab{17} Compute limits of functional expressions. \menulink{Derivatives}{ugIntroCalcDerivPage}\tab{17} Compute derivatives and partial derivatives. \menulink{Integrals}{ugIntroIntegratePage}\tab{17} Introduction to \Language{}'s symbolic integrator. \menulink{More Integrals}{ugProblemIntegrationPage}\tab{17} More information about symbolic integration. \menulink{Laplace}{ugProblemLaplacePage}\tab{17} Computing Laplace transforms. \menulink{Series}{ugProblemSeriesPage}\tab{17} Compute series expansions of expressions. \menulink{Differential Eqns}{ugProblemDEQPage}\tab{17} Solve differential equations. \endmenu \endscroll \autobuttons \end{page}