An Introduction to Maple V

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MAPLE is a computer algebra system which, thanks to an extensive library of sophisticated functions, enables both numerical and formal computations to be performed. Until recently, such systems were only available to professional users with access to mainframe computers, but the rapid improvement in the performance of personal computers (speed, memory) now makes them accessible to the majority of users. The latest versions of MAPLE belong to this new generation of systems, allowing a growing audience of users to become familiar with computer algebra. This work does not set out to describe all the possibilities of MAPLE in an exhaustive manner; there is already a great deal of such documentation, including extensive online help. However, these technical manuals provide a mass of information which is not always of great help to a beginner in computer algebra who is looking for a quick solution to a problem in his own speciality: mathematics, physics, chemistry, etc. This book has been designed so that a scientist who wishes to use MAPLE can find the information he requires quickly. It is divided into chapters which are largely independent, each one being devoted to a separate subject (graphics, differential equations, integration, polynomials, linear algebra, ... ), enabling each user to concentrate on the functions he really needs. In each chapter, deliberately simple examples have been given in order to fully illustrate the syntax used.

Author(s): Jack-Michel Cornil, Philippe Testud (auth.)
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2001

Language: English
Pages: 470
Tags: Algorithms

Front Matter....Pages I-XX
What MAPLE Can Do for You....Pages 1-10
Introduction....Pages 11-48
Arithmetic....Pages 49-56
Real Numbers, Complex Numbers....Pages 57-67
Two-Dimensional Graphics....Pages 69-97
Equations and Inequations....Pages 99-115
Limits and Derivatives....Pages 117-126
Truncated Series Expansions....Pages 127-139
Differential Equations....Pages 141-162
Integration and Summation....Pages 163-177
Three-Dimensional Graphics....Pages 179-197
Polynomials with Rational Coefficients....Pages 199-215
Polynomials with Irrational Coefficients....Pages 217-238
Rational Functions....Pages 239-249
Construction of Vectors and of Matrices....Pages 251-274
Vector Analysis and Matrix Calculus....Pages 275-289
Systems of Linear Equations....Pages 291-303
Normalization of Matrices....Pages 305-317
Orthogonality....Pages 319-330
Vector Analysis....Pages 331-337
The MAPLE Objects....Pages 339-371
Working More Cleverly with the Subexpressions....Pages 373-383
Programming: Loops and Branches....Pages 385-398
Programming: Functions and Procedures....Pages 399-432
The Mathematical Functions....Pages 433-445
MAPLE Environment in Windows....Pages 447-461
Back Matter....Pages 463-470