Basic Lessons on Isometries, Similarities and Inversions in the Euclidean Plane:A Synthetic Approach

欧几里德平面上等距、相似和反转基本课程:综合方法

几何学

原   价:
846.00
售   价:
634.00
发货周期:预计3-5周发货
作      者
出  版 社
出版时间
2021年09月07日
装      帧
平装
ISBN
9789811240379
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页      码
500 pp
语      种
英文
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库存 30 本
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图书简介
The aim of this book is to provide a complete synthetic exposition of plane isometries, similarities and inversions to readers who are interested in studying, teaching, and using this material. The topics developed in this book can provide new proofs and solutions to many results and problems of classical geometry, which are presented with different proofs in the literature. Their applications are numerous and some, such as the Steiner Chains and Point, are useful to engineers. The book contains many good examples, important applications and numerous exercises of various level and difficulty, which are classified in the three groups of: general exercises, geometrical constructions, and geometrical loci. Some lengthy exercises or groups of related exercises can be viewed as projects. On the basis of the above, this book, besides Classical Geometry, is an important addition to Mathematics Education. Key Features • Provides a complete synthetic exposition of plane isometries, similarities and inversions in the Euclidean plane • Contains all proofs of the results combined with 335 figures carefully constructed using the computer • Contains 50 excellent examples and useful applications • Contains 450 exercises (many of which have several parts) or projects classified in groups of general content, geometrical constructions and geometrical loci • Is different from all books in circulation dealing with these topics and so is a new addition to the mathematical literature
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