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 : 2007-11-12
  • Publisher : World Scientific Publishing Company
  • Genre : Mathematics
  • Pages : 252
  • ISBN 13 : 9813107030
  • File Size : 32,32 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 Gröbner 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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