Selected topics in geometry with classical vs. computer proving
著者
書誌事項
Selected topics in geometry with classical vs. computer proving
World Scientific, c2007
大学図書館所蔵 全14件
注記
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
- 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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