A Full Axiomatic Development of High School Geometry

高中几何的全面公理化发展

数学史

售   价:
524.00
发货周期:国外库房发货,通常付款后3-5周到货!
作      者
出  版 社
出版时间
2024年02月14日
装      帧
平装
ISBN
9783031235276
复制
页      码
134
开      本
9.21 x 6.14 x 0.32
语      种
英文
综合评分
暂无评分
我 要 买
- +
库存 30 本
  • 图书详情
  • 目次
  • 买家须知
  • 书评(0)
  • 权威书评(0)
图书简介
This textbook provides a full and complete axiomatic development of exactly that part of plane Euclidean geometry that forms the standard content of high school geometry. It begins with a set of points, a measure of distance between pairs of points and ten simple axioms. From there the notions of length, area and angle measure, along with congruence and similarity, are carefully defined and their properties proven as theorems. It concludes with a proof of the consistency of the axioms used and a full description of their models. It is provided in guided inquiry (inquiry-based) format with the intention that students will be active learners, proving the theorems and presenting their proofs to their class with the instructor as a mentor and a guide.The book is written for graduate and advanced undergraduate students interested in teaching secondary school mathematics, for pure math majors interested in learning about the foundations of geometry, for faculty preparing future secondary school teachers and as a reference for any professional mathematician. It is written with the hope of anchoring K-12 geometry in solid modern mathematics, thereby fortifying the teaching of secondary and tertiary geometry with a deep understanding of the subject.
本书暂无推荐
本书暂无推荐
看了又看
  • 上一个
  • 下一个