A tutorial introduction to Maple

2000

Maple is a comprehensive general purpose computer algebra system. It is used primarily in education and scientific research in the sciences, in mathematics, and in engineering. Maple can do both symbolic and numerical calculations and has facilities for 2 and 3-dimensional graph- ical output. The newest version of Maple, Maple V Release 2, sports a new user interface that integrates

Special Talk, 2019

* Introduction - Expressions - Functions * Solving Equations - Solutions of Equations - Solving a System of Equations for Several Unknowns - Solving Differential Equations * Plotting - Three-dimensional plotting - Create a 2-D or 3-D animation on one parameter * Procedures, Variables, and Extending Maple * Sample Programming - Fibonacci Series - Applications of Bisection Method - New Root-Finding Algorithm * Maple Help * References

Maple Transactions

Maple's main strength is its ability to compute with mathematical formulasand not just with numbers. It can multiply and factor, differentiate and integrate, and simplify formulas. In this article, using differentiation as an example, I explain how to program with formulas in Maple. The key is the data representation that Maple uses for a formula and the operations Maple provides for operating on formulas. I will also discuss Automatic Differentiation as an alternative which differentiates programs.

ACM Communications in Computer Algebra, 2015

The principal data structure in Maple used to represent polynomials and general mathematical expressions involving functions like √ x, sin x, e 2x , y (x) etc., is known to the Maple developers as the sum-of-products data structure. Gaston Gonnet, as the primary author of the Maple kernel, designed and implemented this data structure in the early 80s. As part of the process of simplifying a mathematical formula, he represented every Maple object and every sub-object uniquely in memory. This makes testing for equality, which is used in many operations, very fast. In this article, on occasion of Gaston's retirement, we present details of his design, its pros and cons, and changes we have made to it over the years. One of the cons is the sum-of-products data structure is not nearly as efficient for multiplying multivariate polynomials as other special purpose computer algebra systems. We describe the new data structure called POLY which we added to Maple 17 (released 2013) to improve performance for polynomials in Maple, and recent work done for Maple 18 (released 2014).

This workshop is designed to • present an introduction to Maplets, • demonstrate several examples of Maplets suitable for use with Calculus, • provide a list of the most relevant and useful Maple help documents for Maplet users and authors, and • enable participants to begin to program their own Maplets.

Lecture Notes in Computer Science, 2003

The paper represents Maple library containing more than 400 procedures expanding possibilities of the Maple package of releases 6,7 and 8. The library is structurally organized similarly to the main Maple library. The process of the library installing is simple enough as a result of which the above library will be logically linked with the main Maple library, supporting access to software located in it equally with standard Maple software. The demo library is delivered free of charge at request to addresses mentioned above.

1984

Maple is a symbolic computation system under development at the University of Waterloo. A primary goal of the system is to be compact without sacrificing the functionality required for serious symbolic computation. The system has a modular design such that most of the mathematical functions exist as external library functions to be loaded only when they are invoked. The compiled kernel of the system is about 100K bytes in size. The library functions are interpreted. Efficiency is achieved through techniques including the identification of critical functions that are put into the compiled kernel, extensive use of hashing techniques, and careful design of the mathematical algorithms. Timing comparisons with other symbolic computation systems show that time efficiency is achieved as well as space efficiency.

Springer eBooks, 1992

Library of Congress Caltaloging-in-Publication Data First Leaves: a tutorial introduction to Maple V / Bruce W. Char ... let aLl. p. em. Includes bibliographical references and index. 1. Maple (Computer program) 2. Algebra-Data processing. 1. Char, Bruce W. QA155.7.E4556 1992 510'" .285' 369-dc20 91-47590 CIP Maple is a registered trademark of Waterloo Maple Software.

2002

Advanced Mathematical Methods with Maple During the past five years there has been an immense growth in the use of symbolic computing and mathematical software packages, such as Maple, which provide an invaluable tool for mathematicians and physical scientists alike. ...

Proceedings of the Second International …, 2002

In this paper, we will investigate some of the algorithmic inadequacies and limitations of Maple as well as the common misuses of the software when used as a tool in teaching undergraduate mathematics. We will present examples for which Maple produces misleading or inaccurate results. We will also refer to situations where Maple gives accurate, but incomplete, results which are misused or misinterpreted by novice users of the software, specifically the undergraduate students. The authors have over ten years of experience in using Maple as a teaching tool and some examples presented here are based on those classroom experiences. Other cases have been reported by our students, by our colleagues and in various newsgroups devoted to discussions on Computer Algebra Systems (CASs). Many of the previously reported software bugs, observed in the earlier versions of Maple, are now corrected in the most recent release of the software. So, although we have occasionally referred to the older versions, we have presented the actual output only from the latest version of Maple, namely Maple7, in this paper. For the sake of brevity, we have limited our discussions to the topics which are ordinarily covered in the first two years of a typical undergraduate mathematics curriculum such as limits, single and multivariable integration, series, and floating point arithmetic. We have also tried to limit our case studies to the most common features of Maple, specifically those features that are widely used by the undergraduate students who are new to Maple.