Geometry

What Hacker News says

1. MugwortOct 2019
   Always. Robin Hartshorne's "Geometry: Euclid and Beyond" is the best book of its kind. It does Euclidean geometry with Hilbert's axioms and cleans up some of the loose ends of Euclid's classical treatment. Hartshorns book also covered the 5th postulate very thoroughly and non-Euclidean geometry. Hyperbolic geometry is treated axiomatically. He also has a nice treatment of axiomatic projective geometry which you can download for free. http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.475...
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2. tokenadultMar 2012
   A style that differs from the style a student already gets in school generally helps learners in supplementary programs like Khan Academy.

   A really great example of a superb mathematics textbook by a top mathematician, all with hand-drawn diagrams, is Geometry: Euclid and Beyond by Robin Hartshorne.

   http://www.amazon.com/Geometry-Euclid-Beyond-Robin-Hartshorn...

   The author explains his rationale for having hand-drawn rather than computer-generated geometry diagrams, discusses why he wrote the book as he did. I love this book as a remarkably accessible book on some very deep mathematics, with wonderfully challenging problems. I think Khan Academy video lectures work for some of the same reasons that Hartshorne's approach in Euclid: Geometry and Beyond works, and I hope that Salman Khan and his collaborators eventually get to advanced geometry like that in Hartshorne's book in the Khan Academy course list.

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