Selected Topics In Geometry With Classical Vs. Computer Proving
Download or Read eBook Selected Topics In Geometry With Classical Vs. Computer Proving PDF written by Pavel Pech and published by World Scientific Publishing Company. This book was released on 2007-11-12 with total page 252 pages. Available in PDF, EPUB and Kindle.
Author | : Pavel Pech |
Publisher | : World Scientific Publishing Company |
Total Pages | : 252 |
Release | : 2007-11-12 |
ISBN-10 | : 9789813107038 |
ISBN-13 | : 9813107030 |
Rating | : 4/5 (38 Downloads) |
Book Synopsis Selected Topics In Geometry With Classical Vs. Computer Proving by : Pavel Pech
Book excerpt: 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.