Geometry from a Differentiable Viewpoint 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024


Geometry from a Differentiable Viewpoint

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McCleary, John 作者
译者
2012-10 出版日期
368 页数
$ 50.85 价格
丛书系列
9780521133111 图书编码

Geometry from a Differentiable Viewpoint 在线电子书 图书标签: 数学  几何  计算机科学  Geometry  2012   


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发表于2024-11-13


Geometry from a Differentiable Viewpoint 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Geometry from a Differentiable Viewpoint 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Geometry from a Differentiable Viewpoint 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024



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Geometry from a Differentiable Viewpoint 在线电子书 图书描述

The development of geometry from Euclid to Euler to Lobachevsky, Bolyai, Gauss and Riemann is a story that is often broken into parts - axiomatic geometry, non-Euclidean geometry and differential geometry. This poses a problem for undergraduates: Which part is geometry? What is the big picture to which these parts belong? In this introduction to differential geometry, the parts are united with all of their interrelations, motivated by the history of the parallel postulate. Beginning with the ancient sources, the author first explores synthetic methods in Euclidean and non-Euclidean geometry and then introduces differential geometry in its classical formulation, leading to the modern formulation on manifolds such as space-time. The presentation is enlivened by historical diversions such as Huygens's clock and the mathematics of cartography. The intertwined approaches will help undergraduates understand the role of elementary ideas in the more general, differential setting. This thoroughly revised second edition includes numerous new exercises and a new solution key. New topics include Clairaut's relation for geodesics and the use of transformations such as the reflections of the Beltrami disk.

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