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Selected Topics in Geometry with Classical vs. Computer Proving
Pavel Pech
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- 252 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
Selected Topics in Geometry with Classical vs. Computer Proving
Pavel Pech
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About This Book
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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Topic
MathématiquesSubtopic
Géométrie algébrique