{"id":226,"date":"2021-06-03T09:16:55","date_gmt":"2021-06-03T07:16:55","guid":{"rendered":"https:\/\/www.imj-prg.fr\/diffusion-des-mathematiques\/?p=226"},"modified":"2021-06-03T09:16:55","modified_gmt":"2021-06-03T07:16:55","slug":"andrei-iordan-et-vincent-michel-analyse-complexe-fonctions-holomorphes-dune-variable","status":"publish","type":"post","link":"https:\/\/www.imj-prg.fr\/diffusion-des-mathematiques\/andrei-iordan-et-vincent-michel-analyse-complexe-fonctions-holomorphes-dune-variable\/","title":{"rendered":"Andrei Iordan et Vincent Michel : Analyse complexe – Fonctions holomorphes d’une variable"},"content":{"rendered":"\n

L’analyse complexe, qui associe topologie, calcul diff\u00e9rentiel, int\u00e9gration et m\u00eame alg\u00e8bre, est un sujet incontournable dont les applications traversent quasiment tous les domaines math\u00e9matiques.<\/p>\n\n\n\n

Cet ouvrage aborde les grands th\u00e9or\u00e8mes fondamentaux de l’analyse complexe<\/strong> en proposant un cours de base solide, sans d\u00e9laisser les applications pratiques comme le calcul d’int\u00e9grales ou l’\u00e9tude des fonctions sp\u00e9ciales. Les cinq premiers chapitres correspondent \u00e0 un cours de niveau L3 sur les fonctions holomorphes, et contiennent strictement le programme de l’agr\u00e9gation de math\u00e9matiques en ce qui concerne l’analyse complexe. Les chapitres suivants correspondent plus sp\u00e9cifiquement aux enseignements de M1 et de M2 (fonctions harmoniques, fonctions classiques, int\u00e9gration des formes diff\u00e9rentielles, noyau de Bergman, th\u00e9or\u00e8mes de Runge, th\u00e9or\u00e8mes de Picard, th\u00e9ro\u00e8mes de factorisation, etc.).<\/p>\n\n\n\n

Voir en ligne <\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

L’analyse complexe, qui associe topologie, calcul diff\u00e9rentiel, int\u00e9gration et m\u00eame alg\u00e8bre, est un sujet incontournable dont les applications traversent quasiment tous les domaines math\u00e9matiques. Cet ouvrage aborde les grands th\u00e9or\u00e8mes fondamentaux de l’analyse complexe en proposant un cours de base solide, sans d\u00e9laisser les applications pratiques comme le calcul d’int\u00e9grales ou l’\u00e9tude des fonctions sp\u00e9ciales. […]<\/p>\n","protected":false},"author":8,"featured_media":227,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5],"tags":[],"class_list":["post-226","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-publications"],"_links":{"self":[{"href":"https:\/\/www.imj-prg.fr\/diffusion-des-mathematiques\/wp-json\/wp\/v2\/posts\/226","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.imj-prg.fr\/diffusion-des-mathematiques\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.imj-prg.fr\/diffusion-des-mathematiques\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.imj-prg.fr\/diffusion-des-mathematiques\/wp-json\/wp\/v2\/users\/8"}],"replies":[{"embeddable":true,"href":"https:\/\/www.imj-prg.fr\/diffusion-des-mathematiques\/wp-json\/wp\/v2\/comments?post=226"}],"version-history":[{"count":2,"href":"https:\/\/www.imj-prg.fr\/diffusion-des-mathematiques\/wp-json\/wp\/v2\/posts\/226\/revisions"}],"predecessor-version":[{"id":229,"href":"https:\/\/www.imj-prg.fr\/diffusion-des-mathematiques\/wp-json\/wp\/v2\/posts\/226\/revisions\/229"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.imj-prg.fr\/diffusion-des-mathematiques\/wp-json\/wp\/v2\/media\/227"}],"wp:attachment":[{"href":"https:\/\/www.imj-prg.fr\/diffusion-des-mathematiques\/wp-json\/wp\/v2\/media?parent=226"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.imj-prg.fr\/diffusion-des-mathematiques\/wp-json\/wp\/v2\/categories?post=226"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.imj-prg.fr\/diffusion-des-mathematiques\/wp-json\/wp\/v2\/tags?post=226"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}