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On Beyond Euclid 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Jacobs, B. 作者

Lightning Source Inc

译者

2006-2 出版日期

158 页数

$ 13.56 价格

Pap

丛书系列

9781411673359 图书编码

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发表于2024-11-11

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On Beyond Euclid 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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On Beyond Euclid 在线电子书图书描述

This curious little book is basically a hitchhiker's guide to Book I of Euclid's Elements. We travel through each of the forty-eight Propositions--more or less in order--and see how each one generalizes--or does not generalize--to hyperbolic and other non-Euclidean spaces. Few people seem to realize that Einstein's special theory of relativity is a model of hyperbolic geometry. The connection between Minkowski geometry and special relativity is well-known, while the connection between hyperbolic geometry and special relativity is, rather, known of. But this book makes the hyperbolic connection explicit; PoincareA' disks rather than the traditional Minkowski diagrams are used to illustrate concepts of special relativity. As we progress through Euclid's propositions, it becomes increasingly clear that every theorem in neutral and hyperbolic geometry can be translated into a true statement in special relativity.

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