Titlebook: Introduction to Maple; André Heck Textbook 2003Latest edition Springer Science+Business Media New York 2003 Approximation.Maple.algebra.co

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Polynomials and Rational Functions,mials, 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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Functions,as a procedure. In this chapter we shall discuss all methods in detail. Special attention will be paid to recursively defined procedures and functions. The role of the remember option in defining efficient, recursive functions will be treated in detail.

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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 s

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Series, Approximation, and Limits, it will be clear that various truncated series expansions such as Taylor series, Laurent series, Puisseux series, and Chebychev series are available in Maple. Padé and Chebychev-Padé are part of Maple’s numerical approximation package, which is called numapprox. When appropriate, series expansions

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