Selected Topics In Geometry With Classical Vs. Computer Proving
Format: Print Book
ISBN: 9789812709424
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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.
Format: Hardcover
No of Pages: 252
Imprint: World Scientific
Publication date: 20071211