Titlebook: Introduction to Maple; André Heck Textbook 19931st edition Springer-Verlag New York, Inc. 1993 Maple.Mathematica.algorithms.computer algeb

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Getting Around with Maple,h of printout, labeling, etc.), how to edit inputs, how to read and write files, how to get more information about usage of computer resources, how to trace computations, and how to get user-information about chosen techniques or algorithms. Formatted I/O and code generation are examples of interact

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Polynomials and Rational Functions,polynomials, to rational functions, and to conversions between distinct forms. Keywords are: greatest common divisor (gcd), factorization, expansion, sorting in lexicographic or degree ordering, normalization of rational functions, and partial fraction decomposition.

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Integration and Summation,thm for integrating elementary functions, instead of heuristic integration methods which are described in most mathematics textbooks. We shall briefly discuss Maple’s strategy to compute integrals and give many examples so that you can get an idea of Maple’s capabilities and of ways to assist the sy

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Truncated Series Expansions, Power Series, and Limits,us series expansions such as Taylor series, Laurent series, Puisseux series, and Chebychev series are available in Maple. Padé and Chebychev-Padé are supported as well. When appropriate, these series expansions are used in computing limits [49].

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Composite Data Types,pes . and ., and the simplification and manipulation of such expressions. This chapter will introduce you to . like ., and ., which are built from elementary data types and used for grouping objects together.

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Simplification,xpansion passed under review. Characteristic of these manipulations is that they are carried out on expressions as a whole. However, in computations which involve mathematical functions, you frequently want to apply simplification rules that are known for these mathematical functions. For example, i

ALTER

Solving Equations,d to systems of polynomial equations: the use of the Gröbner basis package will pass in review. Recurrence relations will be another type of equation, which will be treated in detail. We shall consider exact methods (over various domains) as well as approximate, numerical methods. Examples in this c