most recent 30 from http://mathoverflow.net 2013-05-23T16:21:27Z http://mathoverflow.net/feeds/question/9474 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/9474/do-there-exist-modern-expositions-of-kleins-icosahedron Thomas Riepe 2009-12-21T14:37:25Z 2012-02-05T19:55:51Z

<p>Reading <a href="http://books.google.de/books?id=4Vm4Lq1WSHgC&amp;pg=RA1-PA722&amp;lpg=RA1-PA722&amp;dq=Jean-Pierre+Serre+%22Extensions+icosaedriques%22&amp;source=bl&amp;ots=CTXk-_vVqx&amp;sig=kFq8FuyhYs7sGPOukgPe8kbQcBY&amp;hl=de&amp;ei=vXwvS8jxApjknAOiwY3PBA&amp;sa=X&amp;oi=book_result&amp;ct=result&amp;resnum=1&amp;ved=0CA0Q6AEwAA#v=onepage&amp;q=&amp;f=false" rel="nofollow" title="google book">Serre's letter to Gray</a> , I wonder if now modern expositions of the themes in <a href="http://digital.library.cornell.edu/cgi/t/text/text-idx?c=math;cc=math;view=toc;subview=short;idno=03070001" rel="nofollow" title="Cornell scan">Klein's book</a> exist. Do you know any?</p>

http://mathoverflow.net/questions/9474/do-there-exist-modern-expositions-of-kleins-icosahedron/9479#9479 Alon Amit 2009-12-21T15:25:29Z 2009-12-21T15:25:29Z

<p>Chapter 5 of McKean and Moll's "Elliptic Curves" explores the circle of ideas around <em>Ikosaeder</em>.I'm not sure if you'd consider this sufficiently "modern" - it's certainly a contemporary book but it doesn't use, say, scheme-theoretic language.</p>

http://mathoverflow.net/questions/9474/do-there-exist-modern-expositions-of-kleins-icosahedron/9493#9493 Kristal Cantwell 2009-12-21T17:59:45Z 2009-12-21T17:59:45Z

<p>In <em>Glimpses of algebra and geometry</em> by Gabor Toth, chapter 25 is devoted to Klein's main result. </p>

http://mathoverflow.net/questions/9474/do-there-exist-modern-expositions-of-kleins-icosahedron/9510#9510 David Lehavi 2009-12-21T22:00:46Z 2009-12-21T22:00:46Z

<p>There is the outrageously expansive "Geometry of the quintic" by Jerry Shurman, which discusses both Klein and Doyle-McMullen approaches (and then some more).</p>

http://mathoverflow.net/questions/9474/do-there-exist-modern-expositions-of-kleins-icosahedron/12729#12729 Jerry Shurman 2010-01-23T06:08:31Z 2010-01-23T06:08:31Z

<p>"Geometry of the Quintic" is available for free at my website.</p> <p>Jerry Shurman</p>

http://mathoverflow.net/questions/9474/do-there-exist-modern-expositions-of-kleins-icosahedron/87610#87610 Oliver Nash 2012-02-05T19:55:51Z 2012-02-05T19:55:51Z

<p>I got interested in this subject last year and just got round to writing up <a href="http://www.maths.tcd.ie/~onash/klein_icosahedron_quintic_files/notes.pdf" rel="nofollow">some notes</a> which I hope may be of use.</p> <p>I also have a python script which implements the Klein's icosahedral solution of the quintic linked from <a href="http://ocfnash.wordpress.com/2012/02/05/on-kleins-icosahedral-solution-of-the-quintic/" rel="nofollow">this page</a>.</p>