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Geometry and the Imagination

4.51  ·  Rating details ·  77 ratings  ·  5 reviews
Suitable for beginners and experienced mathematicians, this book begins with examples of the simplest curves and surfaces, including thread constructions of certain quadrics and other surfaces. It offers a discussion of linkages and the geometry of configurations of points and rods that are connected and, perhaps, constrained in some way.
Hardcover, 357 pages
Published September 15th 1999 by American Mathematical Society (first published 1932)
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Roberto Rigolin F Lopes
Feb 24, 2019 rated it it was amazing
We are in 1932, Hilbert is playing with geometry. You are about to understand why quantum mechanics books say that everything is happening at Hilbert’s space. Oras, seems that Hilbert dared to define all possible spaces. Was he a boundless thinker? In this book, he always starts with the simplest forms to end-up discussing how many x-order things there are. Using infinity power to some x to illustrate the algebraic nature of figures. Many figures. As a result, he will stretch your imagination to ...more
Mar 17, 2013 rated it it was amazing  ·  review of another edition
Shelves: geometrie
Great book on geometry and (thus?) on mathematisc in general. Must read.
Dec 31, 2018 rated it it was amazing
Shelves: mathematics
One of the best mathematics books ever written. If it weren't reasonably difficult I would have selected it as my "should be in every high school" book. Still a strong 5/5, bordering on 6/5.

If you want to know what mathematics is, and if you're willing to work hard, read this.
Oct 25, 2013 marked it as to-read
Shelves: w_math
513.8 HIL
Ref:The Process of Education by Bruner, Jerome S
David Hilbert, a German mathematician recognized as one of the most influential and universal mathematicians of the 19th and early 20th centuries

We must know. We will know.
David Hilbert liked to quote "an old French mathematician" saying "A mathematical theory should not be considered complete until you have made it so clear that you can explain it to the first man you meet on the street".

Review as not a academic approach to introdu
Sep 09, 2007 rated it really liked it
Yesterday, I learned what an oblate spheroid is. Also a prolate spheroid (which I hadn't heard of before.) If you rotate an ellipse on its major (longer) axis you get a prolate spheroid (which looks like an egg). If you rotate an ellipse on its minor (shorter) axis you get an oblate spheroid (which looks like an onion).
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