Selected Topics in Geometry with Classical Vs. Computer Proving

Released on by Pavel Pech
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  • Selected Topics in Geometry with Classical Vs. Computer Proving Book Detail

  • Author : Pavel Pech
  • Release Date : 2007
  • Publisher : World Scientific
  • Genre : Mathematics
  • Pages : 252
  • ISBN 13 : 9812709428
  • File Size : 5,5 MB
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Selected Topics in Geometry with Classical Vs. Computer Proving by Pavel Pech PDF Summary

Book Description: This textbook presents various automatic techniques based on Gr”bner bases elimination to prove well-known geometrical theorems and formulas. Besides proving theorems, these methods are used to discover new formulas, solve geometric inequalities, and construct objects ? which cannot be easily done with a ruler and compass.Each problem is firstly solved by an automatic theorem proving method. Secondly, problems are solved classically ? without using computer where possible ? so that readers can compare the strengths and weaknesses of both approaches.

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