SELECTED TOPICS IN GEOMETRY WITH CLASSICAL VS. COMPUTER PROVING

Gebonden Engels 2007 9789812709424
€ 135,70
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Samenvatting

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.

Specificaties

ISBN13:9789812709424
Taal:Engels
Bindwijze:Gebonden
Aantal pagina's:252
Uitgever:World Scientific Publishing Co Pte Ltd

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Inhoudsopgave

Automatic Theorem Proving; Generalization of the Formula of Heron; Simson-Wallace Theorem; Transversals in a Polygon; Petr-Douglas-Neumann's Theorem; Geometric Inequalities; Regular Polygons.

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          SELECTED TOPICS IN GEOMETRY WITH CLASSICAL VS. COMPUTER PROVING