{"id":187,"date":"2020-05-04T12:23:01","date_gmt":"2020-05-04T03:23:01","guid":{"rendered":"https:\/\/akasakas.cool\/?p=187"},"modified":"2020-05-05T14:27:41","modified_gmt":"2020-05-05T05:27:41","slug":"%e9%95%b7%e5%b2%a1%e4%ba%ae%e4%bb%8b%e6%95%b0%e5%ad%a6%e5%8b%89%e5%bc%b7%e4%bc%9a%e3%80%8ca-history-of-abstract-algebra-by-i-kleiner%e3%80%8d-%e7%ac%ac9%e5%9b%9e%ef%bc%88p17-19%ef%bc%89","status":"publish","type":"post","link":"https:\/\/akasakas.cool\/?p=187","title":{"rendered":"\u9577\u5ca1\u4eae\u4ecb\u6570\u5b66\u52c9\u5f37\u4f1a\u300cA History of Abstract Algebra by I.Kleiner\u300d \u7b2c9\u56de\uff08p17-19\uff09"},"content":{"rendered":"\n<p>\u30ec\u30dd\u30fc\u30c8\u3000<a href=\"https:\/\/akasakas.cool\/wp-content\/uploads\/2020\/05\/\u7b2c9\u56de2.1.1-Classical-Algebra20190424\u52c9\u5f37\u4f1a.pdf\">https:\/\/akasakas.cool\/wp-content\/uploads\/2020\/05\/\u7b2c9\u56de2.1.1-Classical-Algebra20190424\u52c9\u5f37\u4f1a.pdf<\/a><\/p>\n\n\n\n<p>\u97f3\u58f0\u3000<a href=\"https:\/\/anchor.fm\/tecum\/episodes\/9A-History-of-Abstract-Algebra-by-I-Kleiner-p17-19-edib2p\">https:\/\/anchor.fm\/tecum\/episodes\/9A-History-of-Abstract-Algebra-by-I-Kleiner-p17-19-edib2p<\/a><\/p>\n\n\n\n<p>2 History of Group Theory<\/p>\n\n\n\n<p>\u7fa4\u8ad6\u306e\u5165\u9580\u7de8\u3067\u8b70\u8ad6\u3055\u308c\u305f\u4e3b\u306a\u6982\u5ff5\u306e\u8d77\u6e90\u3001\u5b9a\u7406\u3001\u304a\u3088\u3073\u4e00\u822c\u7684\u306a\u7406\u8ad6\u306b\u3064\u3044\u3066\u6982\u8aac\u3059\u308b\u3002\u7fa4\u8ad6\u306e\u9032\u5316\u306b\u95a2\u3059\u308b\u300c\u7269\u8a9e\u30b9\u30c8\u30fc\u30ea\u30fc\u300d\u306f1770\u5e74\u306b\u59cb\u307e\u308a\u300120\u4e16\u7d00\u306b\u62e1\u5927\u3057\u305f\u304c\u3001\u4e3b\u8981\u306a\u767a\u5c55\u306f19\u4e16\u7d00\u306b\u8d77\u3053\u3063\u305f\u3002\u305d\u306e\u4e16\u7d00\u306e\u4e00\u822c\u7684\u306a\u6570\u5b66\u7684\u7279\u5fb4\u306e\u4e00\u3064\u306b\u3001\u4eba\u9593\u306e\u6d3b\u52d5\u3068\u3057\u3066\u306e\u6570\u5b66\u306e\u898b\u65b9\u3001\u3064\u307e\u308a\u7269\u7406\u7684\u72b6\u6cc1\u3092\u53c2\u7167\u305b\u305a\u3001\u307e\u305f\u306f\u7269\u7406\u7684\u72b6\u6cc1\u304b\u3089\u306e\u52d5\u6a5f\u306a\u3057\u3067\u53ef\u80fd\u306b\u306a\u3063\u305f\u3053\u3068\u3002\u3053\u308c\u306f\u9769\u547d\u3068\u547c\u3093\u3067\u3082\u3044\u3044\u3002<\/p>\n\n\n\n<p>2.1 Sources of group theory\u3000\u7fa4\u8ad6\u306e4\u3064\u306e\u6e90<br>(a) \u53e4\u5178\u4ee3\u6570\uff08\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u30011770\uff09<br>(b) \u6570\u8ad6Number theory (Gauss, 1801)<br>(c) \u5e7e\u4f55Geometry (\u30af\u30e9\u30a4\u30f3Klein, 1874)<br>(d) \u89e3\u6790Analysis (Lie, 1874; \u30dd\u30ef\u30f3\u30ab\u30ecPoincar\u00e9 and Klein, 1876)<\/p>\n\n\n\n<p>2.1.1 Classical Algebra\u53e4\u5178\u4ee3\u6570<br>\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u304c1770\u5e74\u300c\u4ee3\u6570\u65b9\u7a0b\u5f0f\u306e\u89e3\u306b\u95a2\u3059\u308b\u7701\u5bdf\u300d\u3092\u66f8\u3044\u305f\u5f53\u6642\u306e\u4ee3\u6570\u5b66\u306e\u4e3b\u306a\u554f\u984c\u306f\u3001\u591a\u9805\u5f0f\u306b\u95a2\u3059\u308b\u3082\u306e\u3060\u3063\u305f\u3002 \u305d\u3053\u306b\u306f\u6839\u306e\u5b58\u5728\u3068\u672c\u8cea\u3092\u6271\u3046\u201c\u7406\u8ad6\u7684\u306a\u201d\u554f\u984c\u304c\u3042\u308a\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<p>\u65b9\u7a0b\u5f0f\u306e\u6839\u305f\u3061\u306e\u7f6e\u63db\u306e\u7814\u7a76\u306f\u3002\u4ee3\u6570\u65b9\u7a0b\u5f0f\u306b\u304a\u3051\u308b\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u4e00\u822c\u7406\u8ad6\u306e\u790e\u3068\u306a\u3063\u305f\u3002\u3053\u306e\u7f6e\u63db\u306e\u7814\u7a76\u306f\u3001\u5f7c\u304c\u982d\u306e\u4e2d\u3067\u8003\u3048\u3001\u201c\u65b9\u7a0b\u5f0f\u306e\u89e3\u306e\u771f\u306e\u539f\u7406\u201d\u3092\u5f62\u6210\u3057\u305f\u3002\u305f\u3068\u3048\u3070\u3001f\uff08x\uff09\u304c\u6839x1\u3001x2\u3001x3\u3001x4\u3092\u6301\u30644\u6b21\u65b9\u7a0b\u5f0f\u3067\u3042\u308b\u306a\u3089\u3070\u3001R\uff08x1\u3001x2\u3001x3\u3001x4\uff09\u306fx1x2 + x3x4\u3068\u53d6\u308b\u3053\u3068\u304c\u3067\u304d\u3001\u3053\u306e\u95a2\u6570\u306fx1\u3001x2\u3001x3\u3001x4\u306e24\u500b\u306e\u7f6e\u63db\u306e\u3082\u3068\u3067\u7570\u306a\u308b\u5024\u306f\uff13\u500b\u3057\u304b\u3068\u3089\u306a\u3044\u3002<\/p>\n\n\n<p><!--?php previous_post_link('%link', '\u524d\u306e\u8a18\u4e8b\u3078', ture); ?--><br>\n<!--?php next_post_link('%link', '\u6b21\u306e\u8a18\u4e8b\u3078', ture); ?--><\/p>","protected":false},"excerpt":{"rendered":"<p>\u30ec\u30dd\u30fc\u30c8\u3000https:\/\/akasakas.cool\/wp-content\/uploads\/2020\/05\/\u7b2c9\u56de2.1.1-Classical-Algebra20190424\u52c9\u5f37\u4f1a.pdf \u97f3\u58f0\u3000https:\/\/anc &hellip; <\/p>\n<p class=\"link-more\"><a href=\"https:\/\/akasakas.cool\/?p=187\" class=\"more-link\"><span class=\"screen-reader-text\">&#8220;\u9577\u5ca1\u4eae\u4ecb\u6570\u5b66\u52c9\u5f37\u4f1a\u300cA History of Abstract Algebra by I.Kleiner\u300d \u7b2c9\u56de\uff08p17-19\uff09&#8221; \u306e<\/span>\u7d9a\u304d\u3092\u8aad\u3080<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[3],"tags":[],"class_list":["post-187","post","type-post","status-publish","format-standard","hentry","category-a-history-of-abstract-algebra"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/akasakas.cool\/index.php?rest_route=\/wp\/v2\/posts\/187","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/akasakas.cool\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/akasakas.cool\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/akasakas.cool\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/akasakas.cool\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=187"}],"version-history":[{"count":5,"href":"https:\/\/akasakas.cool\/index.php?rest_route=\/wp\/v2\/posts\/187\/revisions"}],"predecessor-version":[{"id":204,"href":"https:\/\/akasakas.cool\/index.php?rest_route=\/wp\/v2\/posts\/187\/revisions\/204"}],"wp:attachment":[{"href":"https:\/\/akasakas.cool\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=187"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/akasakas.cool\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=187"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/akasakas.cool\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=187"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}