{"id":206,"date":"2017-02-04T23:09:31","date_gmt":"2017-02-04T22:09:31","guid":{"rendered":"http:\/\/www2.mathnique.com\/site\/?page_id=206"},"modified":"2017-09-21T14:00:07","modified_gmt":"2017-09-21T12:00:07","slug":"arithmetique","status":"publish","type":"page","link":"https:\/\/www.mathnique.com\/site\/arithmetique\/","title":{"rendered":"Arithm\u00e9tique"},"content":{"rendered":"<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-1629\" src=\"http:\/\/www.mathnique.com\/site\/wp-content\/uploads\/2017\/03\/travaux3-300x252.png\" alt=\"\" width=\"96\" height=\"81\" srcset=\"https:\/\/www.mathnique.com\/site\/wp-content\/uploads\/2017\/03\/travaux3-300x252.png 300w, https:\/\/www.mathnique.com\/site\/wp-content\/uploads\/2017\/03\/travaux3.png 718w\" sizes=\"auto, (max-width: 96px) 85vw, 96px\" \/><\/p>\n<p style=\"text-align: center;\"><span style=\"color: #ff0000;\"><em>\"The naturels numbers came from God and all else was man-made.<\/em><\/span><br \/>\n<span style=\"color: #ff0000;\"><em>Dieu a cr\u00e9\u00e9 les nombres, le reste est l'oeuvre de l'Homme.\"\u00a0<\/em><\/span><br \/>\n<span style=\"color: #ff0000;\"><em>L\u00e9opold KRONECKER<\/em><\/span><\/p>\n<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-1607 aligncenter\" src=\"http:\/\/www.mathnique.com\/site\/wp-content\/uploads\/2017\/02\/chiffresindienshamid-225x300.jpg\" alt=\"\" width=\"225\" height=\"300\" srcset=\"https:\/\/www.mathnique.com\/site\/wp-content\/uploads\/2017\/02\/chiffresindienshamid-225x300.jpg 225w, https:\/\/www.mathnique.com\/site\/wp-content\/uploads\/2017\/02\/chiffresindienshamid-768x1024.jpg 768w, https:\/\/www.mathnique.com\/site\/wp-content\/uploads\/2017\/02\/chiffresindienshamid.jpg 960w\" sizes=\"auto, (max-width: 225px) 85vw, 225px\" \/><em>Les chiffres arabes (en fait les chiffres indiens)<\/em><br \/>\n<em>Tableau de HAMID\u00a0peintre martinico-marocain<\/em><br \/>\n<em>(Collection personnelle Christian CYRILLE)<\/em><\/p>\n<ul>\n<li>Axiomatique de $N$<\/li>\n<li>Le raisonnement par r\u00e9currence(faible, double, forte)\n<ul>\n<li><a href=\"http:\/\/www.mathnique.com\/site\/wp-content\/uploads\/2017\/02\/ch02ec1.pdf\">ch02ec1<\/a><\/li>\n<\/ul>\n<\/li>\n<li>Division euclidienne dans $N$<\/li>\n<li>Construction de l'anneau commutatif\u00a0des entiers relatifs $Z$<\/li>\n<li>Division euclidienne dans $Z$ :<br \/>\n<a href=\"http:\/\/www.mathnique.com\/site\/wp-content\/uploads\/2017\/02\/divisioneuclidienneZ.pdf\">divisioneuclidienneZ<\/a><\/li>\n<li>PPCM et PGCD<\/li>\n<li>Les nombres premiers<\/li>\n<li>La relation de congruence et l'anneau $\\dfrac{Z}{nZ}$<\/li>\n<li>Syst\u00e8mes de num\u00e9ration<\/li>\n<li>Cryptographie.<\/li>\n<li>Exercices classiques<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\"The naturels numbers came from God and all else was man-made. Dieu a cr\u00e9\u00e9 les nombres, le reste est l'oeuvre de l'Homme.\"\u00a0 L\u00e9opold KRONECKER Les chiffres arabes (en fait les chiffres indiens) Tableau de HAMID\u00a0peintre martinico-marocain (Collection personnelle Christian CYRILLE) Axiomatique de $N$ Le raisonnement par r\u00e9currence(faible, double, forte) ch02ec1 Division euclidienne dans $N$ Construction &hellip; <a href=\"https:\/\/www.mathnique.com\/site\/arithmetique\/\" class=\"more-link\">Continuer la lecture<span class=\"screen-reader-text\"> de &laquo;&nbsp;Arithm\u00e9tique&nbsp;&raquo;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-206","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.mathnique.com\/site\/wp-json\/wp\/v2\/pages\/206","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.mathnique.com\/site\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.mathnique.com\/site\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.mathnique.com\/site\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.mathnique.com\/site\/wp-json\/wp\/v2\/comments?post=206"}],"version-history":[{"count":7,"href":"https:\/\/www.mathnique.com\/site\/wp-json\/wp\/v2\/pages\/206\/revisions"}],"predecessor-version":[{"id":2143,"href":"https:\/\/www.mathnique.com\/site\/wp-json\/wp\/v2\/pages\/206\/revisions\/2143"}],"wp:attachment":[{"href":"https:\/\/www.mathnique.com\/site\/wp-json\/wp\/v2\/media?parent=206"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}