{"id":118,"date":"2020-04-26T16:30:00","date_gmt":"2020-04-26T07:30:00","guid":{"rendered":"https:\/\/akasakas.cool\/?p=118"},"modified":"2020-05-05T14:30:19","modified_gmt":"2020-05-05T05:30:19","slug":"%e9%95%b7%e5%b2%a1%e4%ba%ae%e4%bb%8b%e5%8b%89%e5%bc%b7%e4%bc%9a%e3%80%8ca-history-of-abstract-algebra-by-i-kleiner%e3%80%8d-%e7%ac%ac2%e5%9b%9e%ef%bc%88p2-3%ef%bc%89","status":"publish","type":"post","link":"https:\/\/akasakas.cool\/?p=118","title":{"rendered":"\u9577\u5ca1\u4eae\u4ecb\u6570\u5b66\u52c9\u5f37\u4f1a\u300cA History of Abstract Algebra by I.Kleiner\u300d \u7b2c2\u56de\uff08p2-3\uff09"},"content":{"rendered":"\n<p>\u30ec\u30dd\u30fc\u30c8\u3000<a href=\"https:\/\/akasakas.cool\/wp-content\/uploads\/2020\/05\/\u7b2c2\u56de1.2-The-Greeks20190313\u52c9\u5f37\u4f1a.pdf\">https:\/\/akasakas.cool\/wp-content\/uploads\/2020\/05\/\u7b2c2\u56de1.2-The-Greeks20190313\u52c9\u5f37\u4f1a.pdf<\/a><\/p>\n\n\n\n<p>\u97f3\u58f0\u3000<a href=\"https:\/\/anchor.fm\/tecum\/episodes\/23-4-5A-History-of-Abstract-Algebra-by-I-Kleiner-p2-8-edab94\">https:\/\/anchor.fm\/tecum\/episodes\/23-4-5A-History-of-Abstract-Algebra-by-I-Kleiner-p2-8-edab94<\/a>\u3000(p2-3)\u306e\u307f\u3067\u3059<\/p>\n\n\n\n<p><\/p>\n\n\n\n<p>1 History of Classical Algebra<br>1.2 The Greeks \u53e4\u4ee3\u30ae\u30ea\u30b7\u30e3<\/p>\n\n\n\n<p>Euclid\uff08\u30e6\u30fc\u30af\u30ea\u30c3\u30c9\/\u30a8\u30a6\u30af\u30ec\u30a4\u30c7\u30b9\uff09\u306f\u3001\u53e4\u4ee3\u30ae\u30ea\u30b7\u30e3BC\uff13\uff10\uff10\u5e74\u9803\u306e\u6570\u5b66\u8005\u3067\u3001\u300cElements\uff08\u539f\u8ad6\uff09\u300d\u306e\u8457\u8005\u3067\u3042\u308a\u3001\u300c\u5e7e\u4f55\u5b66\u306e\u7236\u300d\u3068\u79f0\u3055\u308c\u308b\u3002\u3053\u306e\u30e6\u30fc\u30af\u30ea\u30c3\u30c9\u5e7e\u4f55\u5b66\u306f\uff11\uff19\u4e16\u7d00\u672b\u304b\u3089\uff12\uff10\u4e16\u7d00\u521d\u982d\u307e\u3067\u4f7f\u308f\u308c\u3066\u304d\u305f\u3002<\/p>\n\n\n\n<p>\u30ae\u30ea\u30b7\u30e3\u4ee3\u6570\u5b66\u306e\u696d\u7e3e\u306fDiophantus\u2019 Arithmetica\u3000\uff08\u30c7\u30a3\u30aa\u30d5\u30a1\u30f3\u30c8\u30b9\u306e\u6570\u8ad6\uff09\u3067\u3042\u308b\u3002\uff12\uff10\uff10\u5e74\u9803\u306e\u4eba\u3060\u304b\u3089\u30e6\u30fc\u30af\u30ea\u30c3\u30c9\u306e\u6642\u4ee3\u304b\u3089500\u5e74\u4ee5\u4e0a\u7d4c\u3063\u3066\u3044\u308b\u3002\u30c7\u30a3\u30aa\u30d5\u30a1\u30f3\u30c8\u30b9\u306f\u3001\u4ee3\u6570\u3067\u8a18\u53f7\u3092\u5c0e\u5165\u3057\u305f\u3002\uff13\u3068\u304b\uff15\u3068\u304b\u6570\u3067\u8868\u73fe\u3057\u3066\u304d\u305f\u3082\u306e\u304c\u3001x\u3092\u4f7f\u3063\u3066\u65b9\u7a0b\u5f0f\u3092\u6271\u3046\u3053\u3068\u306b\u306a\u308b\u3002\u3053\u308c\u304c\u4ee3\u6570\u5b66\u306e\u6700\u521d\u306e\u5927\u304d\u306a\u51fa\u4f1a\u3044\u306b\u306a\u308b\u3002<br>Diophantus\u306e\u4ee3\u6570\u5b66<br>(a) \u4e8c\u3064\u306e\u57fa\u672c\u7684\u30eb\u30fc\u30eb\u3002\u4e00\u65b9\u306e\u8fba\u304b\u3089\u4ed6\u65b9\u306e\u8fba\u3078\u79fb\u884c\u3059\u308b\u969b\u306e\u30eb\u30fc\u30eb\u3001\u5f0f\u306e\u4e21\u8fba\u304b\u3089\u540c\u4e00\u306e\u9805\u3092\u6d88\u53bb\u3059\u308b\u30eb\u30fc\u30eb\u3002\u79fb\u884c\u3059\u308b\u3068\u304d\u306f\u30d7\u30e9\u30b9\u30de\u30a4\u30ca\u30b9\u304c\u5909\u308f\u308b\u3001\u540c\u4e00\u306e\u3082\u306e\u306f\u6d88\u3057\u3066\u3044\u3044\u3068\u3044\u3046\u3053\u3068\u3002<br>(b) \u672a\u77e5\u6570\u306e\u8ca0\u30d9\u30ad\u306e\u5b9a\u7fa9\u3092\u3057\u305f\u3002\u305d\u3057\u3066\u3001\u6307\u6570\u6cd5\u5247\u3092\u660e\u78ba\u306b\u3057\u305f\u3002<br>(c) \u8ca0\u4fc2\u6570\u306e\u6f14\u7b97\u306b\u3064\u3044\u3066\u3044\u304f\u3064\u304b\u306e\u8af8\u898f\u5247\u3092\u8ff0\u3079\u3066\u3044\u308b\u3002\u4f8b\u3048\u3070\u3001\u30de\u30a4\u30ca\u30b9\u306b\u30de\u30a4\u30ca\u30b9\u3092\u304b\u3051\u305f\u6642\u306f\u30d7\u30e9\u30b9\u306b\u306a\u308b\u3002<br>(d) \u53e4\u4ee3\u30ae\u30ea\u30b7\u30e3\u306e\u4f1d\u7d71\u306e\u9396\u304b\u3089\u96e2\u308c\u3066\u3044\u305f\u3002<\/p>\n\n\n\n<p>x^3 \u22122x^2 +10x \u22121 = 5 \u3092\u30ae\u30ea\u30b7\u30e3\u6587\u5b57\u3067\u8868\u3059\u3053\u3068\u306f\u30af\u30a4\u30ba\u306e\u3088\u3046\u3067\u3001\u624b\u9593\u304c\u304b\u304b\u308b\u304c\u697d\u3057\u3044\u3002<br>\u03c2\u30b7\u30b0\u30de\u306f\u672a\u77e5\u6570\uff08\u03b6\u30bc\u30fc\u30bf\u3067\u306f\u306a\u3044\uff09\u3001\u03a6\u30d5\u30a1\u30a4\u306f\u5f15\u304d\u7b97\u3001\u012a\u014d\u30a4\u30aa\u30b7\u30b0\u30de\u306f\u7b49\u3057\u3044\u3068\u3044\u3046\u76f8\u5f53\u6027\u3001\u0394\u03c3 \uff08\u30c7\u30eb\u30bf\u306e\u4e0a\u4ed8\u304d\u30b7\u30b0\u30de\uff09\u306f\u672a\u77e5\u6570\u306e\u5e73\u65b9\u3001\u039a\u03c3\uff08\u30ab\u30c3\u30d1\u306e\u53f3\u80a9\u30b7\u30b0\u30de\uff09\u306f\u7acb\u65b9\u3001\u306a\u3069\u306a\u3069\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\/\u7b2c2\u56de1.2-The-Greeks20190313\u52c9\u5f37\u4f1a.pdf \u97f3\u58f0\u3000https:\/\/anchor.fm\/te &hellip; <\/p>\n<p class=\"link-more\"><a href=\"https:\/\/akasakas.cool\/?p=118\" 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 \u7b2c2\u56de\uff08p2-3\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-118","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\/118","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=118"}],"version-history":[{"count":8,"href":"https:\/\/akasakas.cool\/index.php?rest_route=\/wp\/v2\/posts\/118\/revisions"}],"predecessor-version":[{"id":211,"href":"https:\/\/akasakas.cool\/index.php?rest_route=\/wp\/v2\/posts\/118\/revisions\/211"}],"wp:attachment":[{"href":"https:\/\/akasakas.cool\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=118"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/akasakas.cool\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=118"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/akasakas.cool\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=118"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}