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Integration and Summation

  • André Heck

Abstract

Integration (both definite and indefinite), is one of the highlights in computer algebra. Maple uses non-classical algorithms such as the Risch algorithm 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 system. Examples of integral transformations like Laplace, Fourier, Mellin, Hubert, and Hankel transforms will also be given. Their application in the field of differential equations will be treated in Chapter 17.

Keywords

Fast Fourier Transform Elementary Function Algebraic Function Mathematics Textbook High Information Level 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2003

Authors and Affiliations

  • André Heck
    • 1
  1. 1.AMSTEL Institute Faculty of ScienceUniversiteit van AmsterdamAmsterdamThe Netherlands

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