The Four Pillars of Geometry 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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John Stillwell 作者

Springer

译者

2010-12-1 出版日期

229 页数

USD 54.95 价格

Paperback

Undergraduate Texts in Mathematics 丛书系列

9781441920638 图书编码

The Four Pillars of Geometry 在线电子书图书标签: 数学几何 Geometry Stillwell Springer Mathematics 數學几何与拓扑

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The Four Pillars of Geometry 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

The Four Pillars of Geometry 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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选这本书读的原因很简单——看完Naive Lie Theory之后就觉得John Stillwell有种看问题本质，思路开阔，循循善诱的特质。因而想看看他的其他作品，恰巧geometry又是我感兴趣的题目。在包头往返北京的火车上读了大半，剩下的回家后4h读完，200页左右的书还是好读，清晰的框架对于我这种转数学的同学很友好。projective geometry, non-Euclidean geometry部分是我收获最大的，比如ordinary perspective preserves straightness，non-Euclidean perspective preserves angle。比如作者成功说服了我非欧空间的引入帮助了对projective line 的理解。

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决定粉stillwell~

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我读过的讲的最清晰的数学书

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继Rudin的Principles of Mathematical Analysis之后最喜欢的教材，简直可以当故事书看，越基础越抽象的东西就越有意思~

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我读过的讲的最清晰的数学书

The Four Pillars of Geometry 在线电子书著者简介

John Stillwell is Professor of Mathematics at the University of San Francisco. He is the author of several highly regarded books published by Springer, including Elements of Number Theory (2003), Mathematics and Its History (Second Edition, 2002), Numbers and Geometry (1998) and Elements of Algebra (1994).

The Four Pillars of Geometry 在线电子书图书目录

The Four Pillars of Geometry 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

The Four Pillars of Geometry 在线电子书图书描述

For two millennia the right way to teach geometry was the Euclidean approach, and in many respects, this is still the case. But in the 1950s the cry "Down with triangles!" was heard in France and new geometry books appeared, packed with linear algebra but with no diagrams. Was this the new right approach? Or was the right approach still something else, perhaps transformation groups?

The Four Pillars of Geometry approaches geometry in four different ways, spending two chapters on each. This makes the subject accessible to readers of all mathematical tastes, from the visual to the algebraic. Not only does each approach offer a different view; the combination of viewpoints yields insights not available in most books at this level. For example, it is shown how algebra emerges from projective geometry, and how the hyperbolic plane emerges from the real projective line.

The author begins with Euclid-style construction and axiomatics, then proceeds to linear algebra when it becomes convenient to replace tortuous arguments with simple calculations. Next, he uses projective geometry to explain why objects look the way they do, as well as to explain why geometry is entangled with algebra. And lastly, the author introduces transformation groups---not only to clarify the differences between geometries, but also to exhibit geometries that are unexpectedly the same.

All readers are sure to find something new in this attractive text, which is abundantly supplemented with figures and exercises. This book will be useful for an undergraduate geometry course, a capstone course, or a course aimed at future high school teachers.

The Four Pillars of Geometry 在线电子书下载 mobi epub pdf txt 在线电子书下载

想要找书就要到图书目录大全

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