| 書目名稱 | Mechanical Theorem Proving in Geometries | | 副標(biāo)題 | Basic Principles | | 編輯 | Wen-tsün Wu | | 視頻video | http://file.papertrans.cn/629/628356/628356.mp4 | | 叢書名稱 | Texts & Monographs in Symbolic Computation | | 圖書封面 |  | | 描述 | There seems to be no doubt that geometry originates from such practical activ- ities as weather observation and terrain survey. But there are different manners, methods, and ways to raise the various experiences to the level of theory so that they finally constitute a science. F. Engels said, "The objective of mathematics is the study of space forms and quantitative relations of the real world. " Dur- ing the time of the ancient Greeks, there were two different methods dealing with geometry: one, represented by the Euclid‘s "Elements," purely pursued the logical relations among geometric entities, excluding completely the quantita- tive relations, as to establish the axiom system of geometry. This method has become a model of deduction methods in mathematics. The other, represented by the relevant work of Archimedes, focused on the study of quantitative re- lations of geometric objects as well as their measures such as the ratio of the circumference of a circle to its diameter and the area of a spherical surface and of a parabolic sector. Though these approaches vary in style, have their own features, and reflect different viewpoints in the development of geometry, both have made g | | 出版日期 | Book 1994 | | 關(guān)鍵詞 | Area; Multiplication; algebraic varieties; automated theorem proving; commutative property; geometry; sets | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-7091-6639-0 | | isbn_softcover | 978-3-211-82506-8 | | isbn_ebook | 978-3-7091-6639-0Series ISSN 0943-853X Series E-ISSN 2197-8409 | | issn_series | 0943-853X | | copyright | Springer-Verlag Wien 1994 |
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