Programming in Maple: The Basics

Description

Switzerland, Institut f ur Wissenschaftliches Rechnen ETH-Zentrum, 47 pages.This is a tutorial on programming in Maple. The aim is to show how you can write simple programs in Maple for doing numerical calculations, linear algebra, and programs for simplifying or transforming symbolic expressions or mathematical formulae. It is assumed that the reader is familiar with using Maple interactively as a calculator.Introduction Evaluation Expressions: Sums, Products, Powers, Functions Statements: Assignment, Conditional, Loops Data Structures Sequences Lists and Sets Tables Arrays Records Linked Lists Maple Procedures Parameters, Local Variables, RETURN, ERROR Tracing Procedure Execution: printlevel Arrow Operators Scope Rules: Parameters, Locals, Globals Evaluation Rules: Actual and Formal Parameters, Locals, Globals Recurrence Equations and Option Remember Types and Map Variable Number of Arguments: args and nargs Returning Unevaluated Simpli cations and Transformation Rules Optional Arguments and Default Values Returning Results Through Parameters Programming in Maple Matrix and Vector Computation in Maple Numerical Computation in Maple Computing with Polynomials in Maple Reading and Saving Procedures: read and save Debugging Maple Programs Interfacing with other Maple Facilities Calling External Programs File Input/Output of Numerical Data Fortran and C output Exercises