{"product_id":"9789814678407","title":"Differentiability And Fractality In Dynamics Of Physical Systems","description":"\u003cp\u003eUsing Cartan's differential 1-forms theory, and assuming that the motion variables depend on Euclidean invariants, certain dynamics of the material point and systems of material points are developed. Within such a frame, the Newtonian force as mass inertial interaction at the intragalactic scale, and the Hubble-type repulsive interaction at intergalactic distances, are developed.\u003c\/p\u003e\u003cp\u003eThe wave-corpuscle duality implies movements on curves of constant informational energy, which implies both quantizations and dynamics of velocity limits.\u003c\/p\u003e\u003cp\u003eAnalysis of motion of a charged particle in a combined field which is electromagnetic and with constant magnetism implies fractal trajectories. Mechanics of material points in a fractalic space is constructed, and various applications — fractal atom, potential well, free particle, etc. — are discussed.\u003c\/p\u003e\u003cb\u003eContents:\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003ePrinciples of Motion in Invariantive Mechanics\u003c\/li\u003e\n\u003cli\u003eInertial Invariantive Motion of the Material Point\u003c\/li\u003e\n\u003cli\u003eField Invariantive Theories\u003c\/li\u003e\n\u003cli\u003eOndulatory Invariantive Theories. Wave-Corpuscule Duality\u003c\/li\u003e\n\u003cli\u003eInvariantive Mechanics of Systems of Material Points\u003c\/li\u003e\n\u003cli\u003eThe Photon in Invariantive Ondulatory Theories\u003c\/li\u003e\n\u003cli\u003eLagrangian Approach in Invariantive Mechanics\u003c\/li\u003e\n\u003cli\u003eConsiderations on Invariantive Mechanics\u003c\/li\u003e\n\u003cli\u003eInvariantive Mechanics of Rigid Body\u003c\/li\u003e\n\u003cli\u003eCovariant Formulation of Conservation Laws in Invariantive Mechanics\u003c\/li\u003e\n\u003cli\u003eInvariantive Mechanics and Informational Energy\u003c\/li\u003e\n\u003cli\u003eChaos Via Fractality in Gravitational Dynamical Systems\u003c\/li\u003e\n\u003cli\u003eFractality at Small Scale. Fractal Model of the Atom\u003c\/li\u003e\n\u003cli\u003eExtended Fractal Hydrodynamic Model with an Arbitrary Fractal Dimension and Its Implications\u003c\/li\u003e\n\u003cli\u003eTheory of Fractional Scale Relativity and Some Applications\u003c\/li\u003e\n\u003c\/ul\u003e\u003cbr\u003e\u003cb\u003eReadership:\u003c\/b\u003e Master, PhD students and professional researchers in the field of physics.\u003cbr\u003e\u003cb\u003eKey Features:\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003eTheory of 1-forms is applied to dynamics of material points systems\u003c\/li\u003e\n\u003cli\u003eNon-differentiability as a possible property of complex systems\u003c\/li\u003e\n\u003cli\u003eThe role played by informational energy in the definition of the constants of motion is discussed\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"World Scientific Publishing Company, Incorporated","offers":[{"title":"Default Title","offer_id":47144035811568,"sku":"9789814678407","price":53.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9789814678407_p0.jpg?v=1763692692","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9789814678407","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}