{"product_id":"discrete-mechanics-concepts-and-applications-9781786302830","title":"Discrete Mechanics: Concepts and Applications","description":"\u003cp\u003e • Author(s): Jean-Paul Caltagirone\u003cbr\u003e • Publisher: Wiley-Iste\u003cbr\u003e • Publisher Imprint: Wiley-Iste\u003cbr\u003e • BISAC: Numerical Analysis\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThe discrete vision of mechanics is based on the founding ideas of Galileo and the principles of relativity and equivalence, which postulate the equality between gravitational mass and inertial mass. To these principles are added the Hodge–Helmholtz decomposition, the principle of accumulation of constraints and the hypothesis of the duality of physical actions.\u003cbr\u003e \u003cbr\u003e These principles make it possible to establish the equation of motion based on the conservation of acceleration considered as an absolute quantity in a local frame of reference, in the form of a sum of the gradient of the scalar potential and the curl of the vector potential. These potentials, which represent the constraints of compression and rotation, are updated from the discrete operators.\u003cbr\u003e \u003cbr\u003e \u003ci\u003eDiscrete Mechanics: Concepts and Applications\u003c\/i\u003e shows that this equation of discrete motion is representative of the compressible or incompressible flows of viscous or perfect fluids, the state of stress in an elastic solid or complex fluid and the propagation of nonlinear waves. \u003c\/p\u003e","brand":"Wiley-Iste","offers":[{"title":"Hardcover","offer_id":45201848238231,"sku":"9781786302830","price":10896.0,"currency_code":"INR","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9781786302830.webp?v=1769208085","url":"https:\/\/atlanticbooks.com\/products\/discrete-mechanics-concepts-and-applications-9781786302830","provider":"Atlantic Books","version":"1.0","type":"link"}