| 书目名称 | Mechanical Theorem Proving in Geometries | | 副标题 | Basic Principles | | 编辑 | Wen-tsün Wu | | 视频video | | | 丛书名称 | Texts & Monographs in Symbolic Computation | | 图书封面 |  | | 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 | | 关键词 | 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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发表于 2025-3-21 19:10:33
