00761nam0-22002531i-450-990001264070403321000126407FED01000126407(Aleph)000126407FED0100012640720000920d1973----km-y0itay50------baengRings and the Representation Theory of the Symmetric Groupby KnutsonBerlin [etc.]Springer-Verlag1973Lecture Notes in Mathematics308Knutson,Donald57971ITUNINARICAUNIMARCBK990001264070403321C-20-(30813436MA1MA1-rings and the representation theory of the symmetric group83106UNINAING0104587nam 22008535 450 991033763560332120200702050811.09783030020651303002065710.1007/978-3-030-02065-1(CKB)4100000007761852(DE-He213)978-3-030-02065-1(MiAaPQ)EBC5926485(PPN)235231541(MiAaPQ)EBC31886894(Au-PeEL)EBL31886894(OCoLC)1089253510(EXLCZ)99410000000776185220190302d2019 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierMathematical Methods in Continuum Mechanics of Solids /by Martin Kružík, Tomáš Roubíček1st ed. 2019.Cham :Springer International Publishing :Imprint: Springer,2019.1 online resource (XIII, 617 p. 214 illus., 4 illus. in color.) Interaction of Mechanics and Mathematics,1860-62459783030300197 3030300196 9783030020644 3030020649 Static Problems -- Description of Deformable Stressed Bodies -- Elastic Materials -- Polyconvex Materials: Existence Of Energy-Minimizing Deformations -- General Hyperelastic Materials: Existence/Nonexistence Results -- Linearized Elasticity -- Evolution Problems -- Linear Rheological Models at Small Strains -- Nonlinear Materials with Internal Variables at Small Strains -- Thermodynamics of Selected Materials and Processes -- Evolution at finite Strains.This book primarily focuses on rigorous mathematical formulation and treatment of static problems arising in continuum mechanics of solids at large or small strains, as well as their various evolutionary variants, including thermodynamics. As such, the theory of boundary- or initial-boundary-value problems for linear, quasilinear elliptic, parabolic or hyperbolic partial differential equations is the main underlying mathematical tool, along with the calculus of variations. Modern concepts of these disciplines as weak solutions, polyconvexity, quasiconvexity, nonsimple materials, materials with various rheologies or with internal variables are exploited. This book is accompanied by exercises with solutions, and appendices briefly presenting the basic mathematical concepts and results needed. It serves as an advanced resource and introductory scientific monograph for undergraduate or PhD students in programs such as mathematical modeling, applied mathematics, computational continuum physics and engineering, as well as for professionals working in these fields.Interaction of Mechanics and Mathematics,1860-6245MechanicsMechanics, AppliedMathematical physicsThermodynamicsHeat engineeringHeatTransmissionMass transferVibrationDynamicsDynamicsSolid Mechanicshttps://scigraph.springernature.com/ontologies/product-market-codes/T15010Mathematical Applications in the Physical Scienceshttps://scigraph.springernature.com/ontologies/product-market-codes/M13120Engineering Thermodynamics, Heat and Mass Transferhttps://scigraph.springernature.com/ontologies/product-market-codes/T14000Vibration, Dynamical Systems, Controlhttps://scigraph.springernature.com/ontologies/product-market-codes/T15036Mechanics.Mechanics, Applied.Mathematical physics.Thermodynamics.Heat engineering.HeatTransmission.Mass transfer.Vibration.Dynamics.Dynamics.Solid Mechanics.Mathematical Applications in the Physical Sciences.Engineering Thermodynamics, Heat and Mass Transfer.Vibration, Dynamical Systems, Control.531Kružík Martinauthttp://id.loc.gov/vocabulary/relators/aut1000340Roubíček Tomášauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910337635603321Mathematical Methods in Continuum Mechanics of Solids2296052UNINA