Selected Topics In Geometry With Classical Vs. Computer Proving
Author | : Pavel Pech |
Publisher | : World Scientific Publishing Company |
Total Pages | : 252 |
Release | : 2007-11-12 |
Genre | : Mathematics |
ISBN | : 9813107030 |
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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.