{"id":11,"date":"2007-10-20T18:17:00","date_gmt":"2007-10-20T18:17:00","guid":{"rendered":"http:\/\/www.fun-engineering.net\/blogs\/funeng\/2007\/10\/20\/symmetry_and_the_monster_by_mark_ronan_2006\/"},"modified":"2007-10-20T18:17:00","modified_gmt":"2007-10-20T18:17:00","slug":"symmetry-and-the-monster-by-mark-ronan-2006","status":"publish","type":"post","link":"https:\/\/fun-engineering.net\/blogs\/funeng\/2007\/10\/20\/symmetry-and-the-monster-by-mark-ronan-2006\/","title":{"rendered":"Symmetry and the Monster by Mark Ronan, 2006"},"content":{"rendered":"<p>This book has been an enthralling and fascinating read for me. Mark Ronan outlines the mathematics of symmetry and details its historical development from Evariste Galois&#8217;s letter of May 1832 to about 2005.<br \/>\n<!--more--><\/p>\n<p>Group theory is the mathematics of symmetry and the book has greatly helped me to learn and understand the fundamentals of group theory and especially simple finite groups.<\/p>\n<p>Perhaps the most important revelation in the book is that the sum of the squares of the first twenty four integers is a perfect square (= 70^2). This means that every permutation of the 24-tuple list (1, 2, 3, &#8230;, 24) defines a line of length 70. There are 620 448 401 733 239 439 360 000 permutations. This number is very close to Avogadro&#8217;s number, an interesting coincidence of magnitudes. The size of the Monster, the largest simple finite group, is much larger than this.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This book has been an enthralling and fascinating read for me. Mark Ronan outlines the mathematics of symmetry and details its historical development from Evariste Galois&#8217;s letter of May 1832 to about 2005.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5],"tags":[47],"class_list":["post-11","post","type-post","status-publish","format-standard","hentry","category-mathematics-2","tag-group-theory"],"_links":{"self":[{"href":"https:\/\/fun-engineering.net\/blogs\/funeng\/wp-json\/wp\/v2\/posts\/11","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/fun-engineering.net\/blogs\/funeng\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/fun-engineering.net\/blogs\/funeng\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/fun-engineering.net\/blogs\/funeng\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/fun-engineering.net\/blogs\/funeng\/wp-json\/wp\/v2\/comments?post=11"}],"version-history":[{"count":0,"href":"https:\/\/fun-engineering.net\/blogs\/funeng\/wp-json\/wp\/v2\/posts\/11\/revisions"}],"wp:attachment":[{"href":"https:\/\/fun-engineering.net\/blogs\/funeng\/wp-json\/wp\/v2\/media?parent=11"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/fun-engineering.net\/blogs\/funeng\/wp-json\/wp\/v2\/categories?post=11"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/fun-engineering.net\/blogs\/funeng\/wp-json\/wp\/v2\/tags?post=11"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}