【假一罚四】双曲几何学的旋转向量空间方法(英文)/他山之石系列/国外优秀数学著作原版系列(美)亚伯拉罕·艾伯特·昂加尔(Abraham Albert Ungar)著
集团直发，全新正版书籍，假一罚四，放心选购。24小时内发货。
￥ 38.6 6.7折 ￥ 58 全新
库存3件
浙江嘉兴
认证卖家担保交易快速发货售后保障
作者(美)亚伯拉罕·艾伯特·昂加尔(Abraham Albert Ungar)著
出版社哈尔滨工业大学出版社
ISBN9787560391564
出版时间2021-02
装帧平装
开本16开
定价58元
货号31147276
上书时间2024-10-27
- 最新上架
商品详情
- 品相描述：全新
- 商品描述
-
目录
Contents
Preface
1 Gyrogroups
1.1 From M6bius to Gyrogroups
1.2 Groupoids, Loops, Groups, and Gyrogroups
1.3 M6bius Gyrogroups: From the Disc To The Ball
1.4 First Gyrogroup Theorems
1.5 The Two Basic Equations of Gyrogroups
1.6 The Basic Cancellation Laws of Gyrogroups
1.7 Commuting Automorphisms with Gyroautomorphisms
1.8 The Gyrosemidirect Product
1.9 Basic Gyration Properties
1.10 An Advanced Gyrogroup Equation
1.11 Exercises
2 Gyrocommutative Gyrogroups
2.1 Gyrocommutative Gyrogroups
2.2 Mobius Gyrogroups
2.3 Einstein Gyrogroups
2.4 Gyrogroup Isomorphism
2.5 Exercises
3 Gyrovector Spaces
3.1 Definition and First Gyrovector Space Theorems
3.2 Gyrolines
3.3 Gyromidpoints
3.4 Analogies Between Gyromidpoints and Midpoints
3.5 Gyrogeodesics
3.6 Mobius Gyrovector Spaces
3.7 Mobius Gyrolines
3.8 Einstein Gyrovector Spaces
3.9 Einstein Gyrolines
3.10 Einstein Gyromidpoints and Gyrotriangle Gyrocentroids
3.11 Mobius Gyrotriangle Gyromedians and Gyrocentroids
3.12 The Gyroparallelogram
3.13 Points, Vectors, and Gyrovectors
3.14 The Gyroparallelogram Addition Law of Gyrovectors
3.15 Gyrovector Gyrotranslation
3.16 Gyrovector Gyrotranslation Composition
3.17 Gyrovector Gyrotranslation and the GyroparaUelogram Law
3.18 The Mobius Gyrotriangle Gyroangles
3.19 Exercises
4 Gyrotrigonometry
4.1 The Gyroangle
4.2 The Gyrotriangle
4.3 The Gyrotriangle Addition Law
4.4 Cogyrolines, Cogyrotriangles, and Cogyroangles
4.5 The Law of Gyrocosines
4.6 The SSS to AAA Conversion Law
4.7 Inequalities for Gyrotriangles
4.8 The AAA to S8S Conversion Law
4.9 The Law of Gyrosines
内容摘要
本书共分为四部分，第一部分介绍了陀螺组；第二部分介绍了陀螺交换陀螺组；第三部分介绍了陀螺矢量空间，陀螺仪矢量是根据陀
螺仪平行四边形法则添加的定向陀螺仪段的等价类，正如矢量是根据平行四边形法则添加的定向段的等价类；第四部分介绍了回转三角法。本书捕捉到的这些新奇的类比源于托马斯旋转，这是相对论效应的数学抽象，称为托马斯旋进。值得注意的是，本书仅仅引入托马斯？
回转就把欧几里得几何变成了双曲几何，并揭示了这两种几何所共有的神秘类比。
相关推荐
— 没有更多了 —
以下为对购买帮助不大的评价