Science/Engineering The Four Pillars of Geometry (0387255303)

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Science/Engineering The Four Pillars of Geometry

Posted on 2010-04-10

Name:	Science/Engineering The Four Pillars of Geometry
ASIN/ISBN:	0387255303
Language:	English
File size:	2 Mb
ISBN:	0387255303
Publish Date:	2005
File Type:	PDF
File Size:	2 MB
Pages:	240 pages
Other Info:	Springer

Science/Engineering The Four Pillars of Geometry

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John Stillwell, The Four Pillars of Geometry

This new textbook demonstrates that geometry can be developed in four fundamentally different ways, and that all should be used if the subject is to be shown in all its splendor. Euclid-style construction and axiomatics seem the best way to start, but linear algebra smooths the later stages by replacing some tortuous arguments by simple calculations. And how can one avoid projective geometry? It not only explains why objects look the way they do; it also explains why geometry is entangled with algebra. Finally, one needs to know that there is not one geometry, but many, and transformation groups are the best way to distinguish between them. In this book, two chapters are devoted to each approach, the first being concrete and introductory, while the second is more abstract.

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