Essential Maple

What's in this book This book contains an accelerated introduction to Maple, a computer alge bra language. It is intended for scientific programmers who have experience with other computer languages such as C, FORTRAN, or Pascal. If you wish a longer and more leisurely introduction to Maple, see (8, 27, 39). This book is also intended as a reference summary for people who use Maple infrequently enough so that they forget key commands. Chapter 4 is a keyword summary. This will be useful if you have forgotten the exact Maple command for what you want. This chapter is best accessed through the table of contents, since it is organized by subject matter. The mathematical prerequisites are calculus, linear algebra, and some differential equations. A course in numerical analysis will also help. Any extra mathematics needed will be developed in the book. This book was prepared using Maple V Release 3, although most of the examples will work with, at most, only slight modification in Maple V Release 2. This book does not require any particular hardware. The systems I have used in developing the book are machines running IBM DOS and WIN/OS2, Unix machines in an ASCII terminal mode, and x windows systems. There should be no adjustments necessary for readers equipped with Macintoshes or other hardware. Maple is an evolving system. New features will be described in the documentation for updates (?updates in Maple).

This book provides an accelerated introduction to Maple for scientific programmers who already have experience in other computer languages (such as C, Pascal, or FORTRAN). It gives an overview of the most commonly used constructs and an elementary introduction to Maple programming. The new edition is substantially updated throughout. In particular, there are new programming features especially modules, nested lexical scopes, documentation features, and object-oriented support), a new solution of differential equations, and new plotting features. Review of Earlier Edition "It is especially nice for people like us, who have done some C and FORTRAN programming in our time, but would like to take better advantage of a tool like Maple. It discusses things of key importance to a scientific programmer and does not go on and on with things you'd never use anyway. The examples are terrific--beyond description. I have informed my colleagues here that this is a must-have..." (Brynjulf Owren, Department of Mathematical Sciences, The Norwegian Institute of Technology)

Maple V Mathematics Learning Guide is the fully revised introductory documentation for Maple V Release 5. It shows how to use Maple V as a calculator with instant access to hundreds of high-level math routines and as a programming language for more demanding or specialized tasks. Topics include the basic data types and statements in the Maple V language. The book serves as a tutorial introduction and explains the difference between numeric computation and symbolic computation, illustrating how both are used in Maple V Release 5. Extensive "how-to" examples are presented throughout the text to show how common types of calculations can be easily expressed in Maple. Graphics examples are used to illustrate the way in which 2D and 3D graphics can aid in understanding the behaviour of problems.

The book consists of two parts. The first part consists of seven chapters and presents a new software for package Maple of releases 6-10. The tools represented in this chapters increase the range and efficiency of use of Maple on Windows platform. The basic attention is devoted to additional tools created in the process of practical use and testing the Maple of releases 4 - 10 which by some parameters extend essentially the opportunities of the package and facilitate the work with it.Whereas the algorithms of physical and engineering problems of the second part mainly use the finite element method (FEM). The part consists of eight chapters and solves in Maple environment the physical and engineering problems from such fields as: thermal conductivity, mechanics of deformable bodies, theory of elasticity, hydrodynamics, hydromechanics, etc. At last, application of Maple for solution of optimization problems is presented.

An essential reference tool for all users of the Maple system, providing a complete listing of every command in the Maple language, categorised into logical categories and explained in this context. A short, introductory tutorial starts the Handbook, and each category begins with a brief introduction to the related subject area. It is well referenced, with an alphabetical index of commands, and pointers to appropriate sections of the official Maple documentation. This new approach to reference material enhances that found in Maples on-line help files and provides a much more organised, intuitive resource for all users of the system. The Handbook improves efficiency by supplying users with the information they need - at their fingertips. This new edition covers the Maple V Release 4 symbolic computation language.

A presentation of what Maple can do and how it does it in the context of environmental sciences. The text includes introductory tutorials in each chapter combined with extensive marginal comments which are followed by a complete application. These include the contouring of water table data, the physical chemistry of kidney stones, and acid rain. The book also provides a special application to enable students to use "self help" in the case that Maple seem unable to do the simplest things.

Through the use of numerous examples that illustrate how to solve important applications using Maple V, Release 2, this book provides readers with a solid, hands-on introduction to ordinary and partial differental equations. Includes complete coverage of constructing and numerically computing and approximating solutions to ordinary and partial equations.