{"product_id":"9783319283210","title":"Interaction of Mechanics and Mathematics: A Survey","description":"\u003ch1\u003eInteraction of Mechanics and Mathematics: A Survey\u003c\/h1\u003e \u003ch2\u003ePreston, Serge\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis text presents\nand studies the method of so –called noncommuting variations in Variational\nCalculus. This method\nwas pioneered by Vito Volterra  who\nnoticed that the conventional \nEuler-Lagrange (EL-)  equations  are not applicable in Non-Holonomic Mechanics\nand  suggested to modify the basic rule\nused in Variational Calculus. This book \npresents a survey of   Variational\nCalculus with non-commutative variations and shows  that most \nbasic properties of \nconventional  Euler-Lagrange\nEquations  are, with some\nmodifications,  preserved for  EL-equations with  K-twisted \n(defined by K)-variations.     \u003c\/p\u003e\n\n\u003cp\u003eMost of the\nbook can be understood by readers without strong mathematical preparation (some\nknowledge of Differential Geometry is necessary).  In order to make the text more accessible the\ndefinitions and several necessary results in Geometry are presented separately\nin Appendices  I and II Furthermore in\nAppendix III  a  short presentation of the Noether Theorem\ndescribing the relation  between the\nsymmetries of  the differential equations\nwith dissipation   and  corresponding s balance laws is presented.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2016-03-11\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783319283210\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-319-28323-4\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 235\u003c\/p\u003e ","brand":"Springer International Publishing","offers":[{"title":"Default Title","offer_id":47381117042828,"sku":"9783319283210","price":116.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783319283210.jpg?v=1775743717","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783319283210","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}