{"product_id":"geometry-of-biharmonic-mappings-hajime-urakawa-9789813236394","title":"Geometry of Biharmonic Mappings: Differential Geometry of Variational Methods","description":"'The present volume, written in a clear and precise style, ends with a rich bibliography of 167 items, including some classical books and papers. In the reviewerâ (TM)s opinion, this excellent monograph will be a basic reference for graduate students and researchers working in the field of differential geometry of variational methods.'zbMATHThe author describes harmonic maps which are critical points of the energy functional, and biharmonic maps which are critical points of the bienergy functional. Also given are fundamental materials of the variational methods in differential geometry, and also fundamental materials of differential geometry.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Hajime Urakawa\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 9813236396\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9789813236394\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e World Scientific Publishing Company\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 01\/30\/2019\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 348\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.67lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.61h x 6.69w x 0.81d","brand":"Hajime Urakawa","offers":[{"title":"Hardcover","offer_id":43983549989119,"sku":"9789813236394","price":126.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_3c544e86-e6a9-4d7c-b213-0ef7b8a28d98.jpg?v=1683267315","url":"https:\/\/www.whiterainbookhouse.com\/products\/geometry-of-biharmonic-mappings-hajime-urakawa-9789813236394","provider":"WR Book House","version":"1.0","type":"link"}