Selected Topics in Geometry with Classical vs. Computer Proving
| By: | Pavel Pech |
| Publisher: | World Scientific Publishing |
| Print ISBN: | 9789812709424 |
| eText ISBN: | 9789813107038 |
| Edition: | 0 |
| Format: | Page Fidelity |
Lifetime - $55.20
eBook Features
Instant Access
Purchase and read your book immediately
Read Offline
Access your eTextbook anytime and anywhere
Study Tools
Built-in study tools like highlights and more
Read Aloud
Listen and follow along as Bookshelf reads to you
Details
Table of Contents
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.