Machine proofs in geometry : automated production of readable proofs for geometry theorems
著者
書誌事項
Machine proofs in geometry : automated production of readable proofs for geometry theorems
（Series on applied mathematics, v. 6）
World Scientific, c1994
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 book reports recent major advances in automated reasoning in geometry. The authors have developed a method and implemented a computer program which, for the first time, produces short and readable proofs for hundreds of geometry theorems.The book begins with chapters introducing the method at an elementary level, which are accessible to high school students; latter chapters concentrate on the main theme: the algorithms and computer implementation of the method.This book brings researchers in artificial intelligence, computer science and mathematics to a new research frontier of automated geometry reasoning. In addition, it can be used as a supplementary geometry textbook for students, teachers and geometers. By presenting a systematic way of proving geometry theorems, it makes the learning and teaching of geometry easier and may change the way of geometry education.
目次
- The Hilbert intersection point theorems
- the constructive theorems
- the Hilbert intersection point theorems in solid geometry
- a collection of theorems and proofs automatically generated by computers.
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