{"id":862,"date":"2012-01-24T10:25:11","date_gmt":"2012-01-24T09:25:11","guid":{"rendered":"http:\/\/blogs.scienceforums.net\/ajb\/?p=862"},"modified":"2012-01-24T10:25:11","modified_gmt":"2012-01-24T09:25:11","slug":"mathematical-physics-by-r-geroch","status":"publish","type":"post","link":"http:\/\/blogs.scienceforums.net\/ajb\/2012\/01\/24\/mathematical-physics-by-r-geroch\/","title":{"rendered":"Mathematical Physics by R. Geroch"},"content":{"rendered":"<table border=\"0\">\n<tbody>\n<tr>\n<td><img decoding=\"async\" src=\"http:\/\/bks5.books.google.co.uk\/books?id=wp2A7ZBUwDgC&amp;printsec=frontcover&amp;img=1&amp;zoom=1&amp;edge=curl\" \/><a href=\"http:\/\/www.amazon.co.uk\/gp\/product\/0226288625\/ref=as_li_qf_sp_asin_tl?ie=UTF8&amp;tag=mathemarambli-21&amp;linkCode=as2&amp;camp=1634&amp;creative=6738&amp;creativeASIN=0226288625\">Mathematical Physics (Lectures in Physics)<\/a><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/www.assoc-amazon.co.uk\/e\/ir?t=mathemarambli-21&amp;l=as2&amp;o=2&amp;a=0226288625\" width=\"1\" height=\"1\" border=\"0\" alt=\"\" style=\"border:none !important;margin:0px !important\" \/>\n<\/td>\n<td style=\"vertical-align: top\">\n<p>Mathematics is the language of physics. Thus physicists need some background in mathematics. Within mathematics category theory is a collection of unifying ideas that really gets at the heart of mathematical structures.  <em>Mathematical Physics<\/em> by Robert Geroch provides a good grounding in the basic mathematical structures required in physics from a categorical perspective.<\/p>\n<p>This book consists of 56 short chapters. <\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n<p>Chapers 1 to 24 discuss algebraic categories: groups, vector spaces, associative algebras, Lie algebras and representations. The main ideas of category theory are laid down in these chapters via motivating examples. <\/p>\n<p>Chapters 25 to 42 take on a topological flavour. Topics about topological spaces include continuous mappings,compactness, connectedness, homotopy, homology, topological groups and topological vector spaces.  <\/p>\n<p>Chapters 43 to 56 combine algebra and topology by discussing measure spaces, distributions and Hilbert spaces. Topics here include bounded operators, the spectral theorem, not necessarily bounded operators and  self-adjoint operators. <\/p>\n<p>Paperback: 358 pages<br \/>\nPublisher: University Of Chicago Press (September 15, 1985)<br \/>\nLanguage: English<br \/>\nISBN-10: 0226288625<br \/>\nISBN-13: 978-0226288628<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Mathematical Physics (Lectures in Physics) Mathematics is the language of physics. Thus physicists need some background in mathematics. Within mathematics category theory is a collection of unifying ideas that really gets at the heart of mathematical structures. Mathematical Physics by Robert Geroch provides a good grounding in the basic mathematical structures required in physics from &hellip; <a href=\"http:\/\/blogs.scienceforums.net\/ajb\/2012\/01\/24\/mathematical-physics-by-r-geroch\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Mathematical Physics by R. Geroch<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"class_list":["post-862","post","type-post","status-publish","format-standard","hentry","category-book-reviews"],"_links":{"self":[{"href":"http:\/\/blogs.scienceforums.net\/ajb\/wp-json\/wp\/v2\/posts\/862","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/blogs.scienceforums.net\/ajb\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/blogs.scienceforums.net\/ajb\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/blogs.scienceforums.net\/ajb\/wp-json\/wp\/v2\/users\/7"}],"replies":[{"embeddable":true,"href":"http:\/\/blogs.scienceforums.net\/ajb\/wp-json\/wp\/v2\/comments?post=862"}],"version-history":[{"count":0,"href":"http:\/\/blogs.scienceforums.net\/ajb\/wp-json\/wp\/v2\/posts\/862\/revisions"}],"wp:attachment":[{"href":"http:\/\/blogs.scienceforums.net\/ajb\/wp-json\/wp\/v2\/media?parent=862"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/blogs.scienceforums.net\/ajb\/wp-json\/wp\/v2\/categories?post=862"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/blogs.scienceforums.net\/ajb\/wp-json\/wp\/v2\/tags?post=862"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}