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Selected Topics In Geometry With Classical Vs Computer Proving [Paperback]

Selected Topics In Geometry With Classical Vs Computer Proving [Paperback]

By Pavel Pech (Author)
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Item description for Selected Topics In Geometry With Classical Vs Computer Proving by Pavel Pech...

This textbook presents various automatic techniques based on Grbner 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.

Contents: 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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Item Specifications...

Studio: World Scientific Publishing Company
Pages   250
Binding  Softcover
Release Date   Feb 28, 2007
Publisher   World Scientific Publishing Company
ISBN  9812772251  
ISBN13  9789812772251  

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1Books > Subjects > Professional & Technical > Professional Science > Mathematics > Geometry & Topology > General Geometry
2Books > Subjects > Science > General
3Books > Subjects > Science > Mathematics > General
4Books > Subjects > Science > Mathematics > Geometry & Topology > General Geometry
5Books > Subjects > Science > Mathematics > Geometry & Topology

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