Integration of Transcendental Functions

  • Manuel Bronstein
Part of the Algorithms and Computation in Mathematics book series (AACIM, volume 1)


Having developped the required machinery in the previous chapters, we can now describe the integration algorithm. In this chapter, we define formally the integration problem in an algebraic setting, prove the main theorem of symbolic integration (Liouville’s Theorem), and describe the main part of the integration algorithm.


Elementary Function Algebraic Closure Integration Algorithm Transcendental Function Logarithmic Derivative 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • Manuel Bronstein
    • 1
  1. 1.Institute for Scientific Computation ETH Zentrum IFWETH ZürichZürichSwitzerland

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