The Four Pillars of Geometry 2024 pdf epub mobi 電子書下載

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The Four Pillars of Geometry pdf epub mobi 著者簡介

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 pdf epub mobi 圖書描述

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 2024 pdf epub mobi 電子書下載

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發表於2024-09-27

The Four Pillars of Geometry 2024 pdf epub mobi 電子書下載

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The Four Pillars of Geometry pdf epub mobi 讀後感

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一般而言，要想找到一本體現某些真正的幾何思想精髓的書並不是很容易，但我還是有幸讀到瞭John Stillwell的這本《Four Pillars of Geometry》，讀完後至今仍令人蕩氣迴腸！這本書不算太艱深，但真的不同於傳統的介紹幾何的讀物，特彆是展現瞭很多本科生並不熟悉的視角，使人...

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出版者:Springer

作者:John Stillwell

出品人:

頁數:229

譯者:

出版時間:2010-12-1

價格:USD 54.95

裝幀:Paperback

isbn號碼:9781441920638

叢書系列:Undergraduate Texts in Mathematics

圖書標籤: 數學幾何 Geometry Stillwell Springer Mathematics 數學幾何與拓撲

The Four Pillars of Geometry 2024 pdf epub mobi 電子書下載

想要找書就要到本本書屋

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The Four Pillars of Geometry pdf epub mobi 用戶評價

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選這本書讀的原因很簡單——看完Naive Lie Theory之後就覺得John Stillwell有種看問題本質，思路開闊，循循善誘的特質。因而想看看他的其他作品，恰巧geometry又是我感興趣的題目。在包頭往返北京的火車上讀瞭大半，剩下的迴傢後4h讀完，200頁左右的書還是好讀，清晰的框架對於我這種轉數學的同學很友好。projective geometry, non-Euclidean geometry部分是我收獲最大的，比如ordinary perspective preserves straightness，non-Euclidean perspective preserves angle。比如作者成功說服瞭我非歐空間的引入幫助瞭對projective line 的理解。

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我讀過的講的最清晰的數學書

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這本書相對於他的麯麵的幾何一書是一個簡單版本。喜歡他的風格，喜歡他的思考

The Four Pillars of Geometry 2024 pdf epub mobi 電子書下載