{"id":25316,"date":"2020-10-28T15:46:18","date_gmt":"2020-10-28T15:46:18","guid":{"rendered":"https:\/\/www.istegroup.com\/?post_type=product&#038;p=25316"},"modified":"2024-01-03T13:43:43","modified_gmt":"2024-01-03T13:43:43","slug":"methodes-mathematiques-de-la-mecanique-analytique","status":"publish","type":"product","link":"https:\/\/www.istegroup.com\/en\/produit\/methodes-mathematiques-de-la-mecanique-analytique\/","title":{"rendered":"M\u00e9thodes math\u00e9matiques de la m\u00e9canique analytique"},"content":{"rendered":"<p>L\u2019alg\u00e8bre, l\u2019analyse ou encore la g\u00e9om\u00e9trie sont autant d\u2019outils math\u00e9matiques qui peuvent \u00eatre utilis\u00e9s en m\u00e9canique analytique. Cet ouvrage se focalise particuli\u00e8rement sur les m\u00e9thodes g\u00e9om\u00e9triques du calcul des variations.<\/p>\n<p>Les propri\u00e9t\u00e9s d\u2019invariance \u00e9tudi\u00e9es gr\u00e2ce au th\u00e9or\u00e8me de Noether, les m\u00e9thodes d\u2019int\u00e9gration des mouvements, ainsi que le principe de Maupertuis, qui am\u00e8ne \u00e0 la m\u00e9canique ondulatoire, sont trait\u00e9s. Les diff\u00e9rents espaces de phases conduisent aux alg\u00e8bres de Poisson, aux alg\u00e8bres et groupes de Lie, \u00e0 la g\u00e9om\u00e9trie symplectique ainsi qu\u2019au th\u00e9or\u00e8me de Liouville. Finalement, les petits mouvements sont analys\u00e9s, de m\u00eame que les diff\u00e9rents types de stabilit\u00e9, y compris pour les mouvements p\u00e9riodiques.<\/p>\n<p><em>M\u00e9thodes math\u00e9matiques de la m\u00e9canique analytique<\/em> permet d\u2019obtenir une compr\u00e9hension des m\u00e9thodes fondamentales de la m\u00e9canique analytique, tout en \u00e9tudiant les probl\u00e8mes d\u2019<em>extrema<\/em> sous une forme g\u00e9om\u00e9trique.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>L\u2019alg\u00e8bre, l\u2019analyse ou encore la g\u00e9om\u00e9trie sont autant d\u2019outils math\u00e9matiques qui peuvent \u00eatre utilis\u00e9s en m\u00e9canique analytique. Cet ouvrage se focalise particuli\u00e8rement sur les m\u00e9thodes g\u00e9om\u00e9triques du calcul des variations. Les propri\u00e9t\u00e9s d\u2019invariance \u00e9tudi\u00e9es gr\u00e2ce au th\u00e9or\u00e8me de Noether, les m\u00e9thodes d\u2019int\u00e9gration des mouvements, ainsi que le principe de Maupertuis, qui am\u00e8ne \u00e0 la m\u00e9canique [&hellip;]<\/p>\n","protected":false},"featured_media":25324,"template":"","meta":{"_acf_changed":false,"_links_to":"","_links_to_target":""},"product_brand":[],"product_cat":[3262],"product_tag":[],"class_list":{"0":"post-25316","1":"product","2":"type-product","3":"status-publish","4":"has-post-thumbnail","6":"product_cat-non-classe","8":"first","9":"instock","10":"shipping-taxable","11":"purchasable","12":"product-type-variable"},"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.2 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>M\u00e9thodes math\u00e9matiques de la m\u00e9canique analytique - ISTE Group<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.istegroup.com\/fr\/produit\/methodes-mathematiques-de-la-mecanique-analytique\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"M\u00e9thodes math\u00e9matiques de la m\u00e9canique analytique - ISTE Group\" \/>\n<meta property=\"og:description\" content=\"L\u2019alg\u00e8bre, l\u2019analyse ou encore la g\u00e9om\u00e9trie sont autant d\u2019outils math\u00e9matiques qui peuvent \u00eatre utilis\u00e9s en m\u00e9canique analytique. Cet ouvrage se focalise particuli\u00e8rement sur les m\u00e9thodes g\u00e9om\u00e9triques du calcul des variations. Les propri\u00e9t\u00e9s d\u2019invariance \u00e9tudi\u00e9es gr\u00e2ce au th\u00e9or\u00e8me de Noether, les m\u00e9thodes d\u2019int\u00e9gration des mouvements, ainsi que le principe de Maupertuis, qui am\u00e8ne \u00e0 la m\u00e9canique [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.istegroup.com\/fr\/produit\/methodes-mathematiques-de-la-mecanique-analytique\/\" \/>\n<meta property=\"og:site_name\" content=\"ISTE Group\" \/>\n<meta property=\"article:modified_time\" content=\"2024-01-03T13:43:43+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.istegroup.com\/wp-content\/uploads\/2020\/03\/M\u00e9thodes-math\u00e9matiques-de-la-m\u00e9canique-analytique.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"300\" \/>\n\t<meta property=\"og:image:height\" content=\"451\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.istegroup.com\/fr\/produit\/methodes-mathematiques-de-la-mecanique-analytique\/\",\"url\":\"https:\/\/www.istegroup.com\/fr\/produit\/methodes-mathematiques-de-la-mecanique-analytique\/\",\"name\":\"M\u00e9thodes math\u00e9matiques de la m\u00e9canique analytique - ISTE Group\",\"isPartOf\":{\"@id\":\"https:\/\/www.istegroup.com\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/www.istegroup.com\/fr\/produit\/methodes-mathematiques-de-la-mecanique-analytique\/#primaryimage\"},\"image\":{\"@id\":\"https:\/\/www.istegroup.com\/fr\/produit\/methodes-mathematiques-de-la-mecanique-analytique\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/www.istegroup.com\/wp-content\/uploads\/2020\/03\/M\u00e9thodes-math\u00e9matiques-de-la-m\u00e9canique-analytique.jpg\",\"datePublished\":\"2020-10-28T15:46:18+00:00\",\"dateModified\":\"2024-01-03T13:43:43+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/www.istegroup.com\/fr\/produit\/methodes-mathematiques-de-la-mecanique-analytique\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/www.istegroup.com\/fr\/produit\/methodes-mathematiques-de-la-mecanique-analytique\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/www.istegroup.com\/fr\/produit\/methodes-mathematiques-de-la-mecanique-analytique\/#primaryimage\",\"url\":\"https:\/\/www.istegroup.com\/wp-content\/uploads\/2020\/03\/M\u00e9thodes-math\u00e9matiques-de-la-m\u00e9canique-analytique.jpg\",\"contentUrl\":\"https:\/\/www.istegroup.com\/wp-content\/uploads\/2020\/03\/M\u00e9thodes-math\u00e9matiques-de-la-m\u00e9canique-analytique.jpg\",\"width\":300,\"height\":451,\"caption\":\"Livre scientifique - M\u00e9thodes math\u00e9matiques de la m\u00e9canique analytique - Henri Gouin\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/www.istegroup.com\/fr\/produit\/methodes-mathematiques-de-la-mecanique-analytique\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/www.istegroup.com\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Shop\",\"item\":\"https:\/\/www.istegroup.com\/fr\/nouveautes\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"M\u00e9thodes math\u00e9matiques de la m\u00e9canique analytique\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/www.istegroup.com\/#website\",\"url\":\"https:\/\/www.istegroup.com\/\",\"name\":\"ISTE Group\",\"description\":\"Publishing Knowledge\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/www.istegroup.com\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"M\u00e9thodes math\u00e9matiques de la m\u00e9canique analytique - ISTE Group","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.istegroup.com\/fr\/produit\/methodes-mathematiques-de-la-mecanique-analytique\/","og_locale":"en_US","og_type":"article","og_title":"M\u00e9thodes math\u00e9matiques de la m\u00e9canique analytique - ISTE Group","og_description":"L\u2019alg\u00e8bre, l\u2019analyse ou encore la g\u00e9om\u00e9trie sont autant d\u2019outils math\u00e9matiques qui peuvent \u00eatre utilis\u00e9s en m\u00e9canique analytique. Cet ouvrage se focalise particuli\u00e8rement sur les m\u00e9thodes g\u00e9om\u00e9triques du calcul des variations. Les propri\u00e9t\u00e9s d\u2019invariance \u00e9tudi\u00e9es gr\u00e2ce au th\u00e9or\u00e8me de Noether, les m\u00e9thodes d\u2019int\u00e9gration des mouvements, ainsi que le principe de Maupertuis, qui am\u00e8ne \u00e0 la m\u00e9canique [&hellip;]","og_url":"https:\/\/www.istegroup.com\/fr\/produit\/methodes-mathematiques-de-la-mecanique-analytique\/","og_site_name":"ISTE Group","article_modified_time":"2024-01-03T13:43:43+00:00","og_image":[{"width":300,"height":451,"url":"https:\/\/www.istegroup.com\/wp-content\/uploads\/2020\/03\/M\u00e9thodes-math\u00e9matiques-de-la-m\u00e9canique-analytique.jpg","type":"image\/jpeg"}],"twitter_card":"summary_large_image","twitter_misc":{"Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/www.istegroup.com\/fr\/produit\/methodes-mathematiques-de-la-mecanique-analytique\/","url":"https:\/\/www.istegroup.com\/fr\/produit\/methodes-mathematiques-de-la-mecanique-analytique\/","name":"M\u00e9thodes math\u00e9matiques de la m\u00e9canique analytique - ISTE Group","isPartOf":{"@id":"https:\/\/www.istegroup.com\/#website"},"primaryImageOfPage":{"@id":"https:\/\/www.istegroup.com\/fr\/produit\/methodes-mathematiques-de-la-mecanique-analytique\/#primaryimage"},"image":{"@id":"https:\/\/www.istegroup.com\/fr\/produit\/methodes-mathematiques-de-la-mecanique-analytique\/#primaryimage"},"thumbnailUrl":"https:\/\/www.istegroup.com\/wp-content\/uploads\/2020\/03\/M\u00e9thodes-math\u00e9matiques-de-la-m\u00e9canique-analytique.jpg","datePublished":"2020-10-28T15:46:18+00:00","dateModified":"2024-01-03T13:43:43+00:00","breadcrumb":{"@id":"https:\/\/www.istegroup.com\/fr\/produit\/methodes-mathematiques-de-la-mecanique-analytique\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/www.istegroup.com\/fr\/produit\/methodes-mathematiques-de-la-mecanique-analytique\/"]}]},{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/www.istegroup.com\/fr\/produit\/methodes-mathematiques-de-la-mecanique-analytique\/#primaryimage","url":"https:\/\/www.istegroup.com\/wp-content\/uploads\/2020\/03\/M\u00e9thodes-math\u00e9matiques-de-la-m\u00e9canique-analytique.jpg","contentUrl":"https:\/\/www.istegroup.com\/wp-content\/uploads\/2020\/03\/M\u00e9thodes-math\u00e9matiques-de-la-m\u00e9canique-analytique.jpg","width":300,"height":451,"caption":"Livre scientifique - M\u00e9thodes math\u00e9matiques de la m\u00e9canique analytique - Henri Gouin"},{"@type":"BreadcrumbList","@id":"https:\/\/www.istegroup.com\/fr\/produit\/methodes-mathematiques-de-la-mecanique-analytique\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/www.istegroup.com\/"},{"@type":"ListItem","position":2,"name":"Shop","item":"https:\/\/www.istegroup.com\/fr\/nouveautes\/"},{"@type":"ListItem","position":3,"name":"M\u00e9thodes math\u00e9matiques de la m\u00e9canique analytique"}]},{"@type":"WebSite","@id":"https:\/\/www.istegroup.com\/#website","url":"https:\/\/www.istegroup.com\/","name":"ISTE Group","description":"Publishing Knowledge","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/www.istegroup.com\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"}]}},"_links":{"self":[{"href":"https:\/\/www.istegroup.com\/en\/wp-json\/wp\/v2\/product\/25316","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.istegroup.com\/en\/wp-json\/wp\/v2\/product"}],"about":[{"href":"https:\/\/www.istegroup.com\/en\/wp-json\/wp\/v2\/types\/product"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.istegroup.com\/en\/wp-json\/wp\/v2\/media\/25324"}],"wp:attachment":[{"href":"https:\/\/www.istegroup.com\/en\/wp-json\/wp\/v2\/media?parent=25316"}],"wp:term":[{"taxonomy":"product_brand","embeddable":true,"href":"https:\/\/www.istegroup.com\/en\/wp-json\/wp\/v2\/product_brand?post=25316"},{"taxonomy":"product_cat","embeddable":true,"href":"https:\/\/www.istegroup.com\/en\/wp-json\/wp\/v2\/product_cat?post=25316"},{"taxonomy":"product_tag","embeddable":true,"href":"https:\/\/www.istegroup.com\/en\/wp-json\/wp\/v2\/product_tag?post=25316"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}