LEADER 03499nam 22006495 450 001 9910349348803321 005 20200702221904.0 010 $a3-030-19297-0 024 7 $a10.1007/978-3-030-19297-6 035 $a(CKB)4100000008743003 035 $a(DE-He213)978-3-030-19297-6 035 $a(MiAaPQ)EBC5924489 035 $a(PPN)238488861 035 $a(EXLCZ)994100000008743003 100 $a20190723d2019 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aFluid Dynamics and Linear Elasticity $eA First Course in Continuum Mechanics /$fby Michael S. Ruderman 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (XIII, 291 p. 86 illus., 3 illus. in color.) 225 1 $aSpringer Undergraduate Mathematics Series,$x1615-2085 311 $a3-030-19296-2 327 $a1 Introduction -- 2 Mathematical Preliminaries -- 3 Continuum Kinematics -- 4 Continuum Dynamics -- 5 Ideal Incompressible Fluids -- 6 Linear Elasticity -- 7 Viscous Incompressible Fluids -- 8 Ideal Barotropic Fluids -- 9 Non-ideal Compressible Fluids -- A Solutions to Problems -- Index. 330 $aThis book provides a concise introduction to continuum mechanics, with a particular emphasis on fluid dynamics, suitable for upper undergraduate students in applied mathematics and related subjects. Starting with a preliminary chapter on tensors, the main topic of the book begins in earnest with the chapters on continuum kinematics and dynamics. Following chapters cover linear elasticity and both incompressible and compressible fluids. Special topics of note include nonlinear acoustics and the theory of motion of viscous thermal conducting compressible fluids. Based on an undergraduate course taught for over a decade, this textbook assumes only familiarity with multivariate calculus and linear algebra. It includes many exercises with solutions and can serve as textbook for lecture courses at the undergraduate and masters level. 410 0$aSpringer Undergraduate Mathematics Series,$x1615-2085 606 $aMathematical physics 606 $aMechanics 606 $aMechanics, Applied 606 $aFluids 606 $aAcoustics 606 $aMathematical Applications in the Physical Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M13120 606 $aTheoretical and Applied Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15001 606 $aFluid- and Aerodynamics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21026 606 $aAcoustics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21069 615 0$aMathematical physics. 615 0$aMechanics. 615 0$aMechanics, Applied. 615 0$aFluids. 615 0$aAcoustics. 615 14$aMathematical Applications in the Physical Sciences. 615 24$aTheoretical and Applied Mechanics. 615 24$aFluid- and Aerodynamics. 615 24$aAcoustics. 676 $a531 676 $a531.03 700 $aRuderman$b Michael S$4aut$4http://id.loc.gov/vocabulary/relators/aut$0781329 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910349348803321 996 $aFluid Dynamics and Linear Elasticity$91732469 997 $aUNINA