LEADER 05458nam 22008415 450 001 9910299979803321 005 20200629223932.0 010 $a1-4939-1604-1 024 7 $a10.1007/978-1-4939-1604-7 035 $a(CKB)3710000000269580 035 $a(SSID)ssj0001372574 035 $a(PQKBManifestationID)11802182 035 $a(PQKBTitleCode)TC0001372574 035 $a(PQKBWorkID)11305233 035 $a(PQKB)10853751 035 $a(DE-He213)978-1-4939-1604-7 035 $a(MiAaPQ)EBC6311550 035 $a(MiAaPQ)EBC5596315 035 $a(Au-PeEL)EBL5596315 035 $a(OCoLC)1076257280 035 $a(PPN)182099148 035 $a(EXLCZ)993710000000269580 100 $a20141014d2014 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aContinuum Mechanics using Mathematica® $eFundamentals, Methods, and Applications /$fby Antonio Romano, Addolorata Marasco 205 $a2nd ed. 2014. 210 1$aNew York, NY :$cSpringer New York :$cImprint: Birkhäuser,$d2014. 215 $a1 online resource (XV, 480 p. 88 illus., 4 illus. in color.) 225 1 $aModeling and Simulation in Science, Engineering and Technology,$x2164-3679 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a1-4939-1603-3 320 $aIncludes bibliographical references (pages [471]-473) and index. 327 $a1. Elements of Linear Algebra -- 2. Vector Analysis -- 3. Finite and Infinitesimal Deformations -- 4. Kinematics -- 5. Balance Equations -- 6. Constitutive Equations -- 7. Symmetry Groups: Solids and Fluids -- Wave Propagation -- 8. Fluid Mechanics -- 9. Linear Elasticity -- 10. Other Approaches to Thermodynamics -- 11. Fluid Dynamics and Meteorology -- 12. Fluid Dynamics and Ship Motion -- Appendix. A Brief Introduction to Weak Solutions -- Index. 330 $aThis textbook's methodological approach familiarizes readers with the mathematical tools required to correctly define and solve problems in continuum mechanics. Covering essential principles and fundamental applications, this second edition of Continuum Mechanics using Mathematica® provides a solid basis for a deeper study of more challenging and specialized problems related to nonlinear elasticity, polar continua, mixtures, piezoelectricity, ferroelectricity, magneto-fluid mechanics, and state changes (see A. Romano, A. Marasco, Continuum Mechanics: Advanced Topics and Research Trends, Springer (Birkhäuser), 2010, ISBN 978-0-8176-4869-5). Key topics and features: * Concise presentation strikes a balance between fundamentals and applications * Requisite mathematical background carefully collected in two introductory chapters and one appendix * Recent developments highlighted through coverage of more significant applications to areas such as wave propagation, fluid mechanics, porous media, linear elasticity. This second edition expands the key topics and features to include: * Two new applications of fluid dynamics: meteorology and navigation * New exercises at the end of the existing chapters * The packages are rewritten for Mathematica 9 Continuum Mechanics using Mathematica®: Fundamentals, Methods, and Applications is aimed at advanced undergraduates, graduate students, and researchers in applied mathematics, mathematical physics, and engineering. It may serve as a course textbook or self-study reference for anyone seeking a solid foundation in continuum mechanics. 410 0$aModeling and Simulation in Science, Engineering and Technology,$x2164-3679 606 $aMechanics 606 $aMechanics, Applied 606 $aApplied mathematics 606 $aEngineering mathematics 606 $aMathematical physics 606 $aMathematical models 606 $aClassical Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21018 606 $aSolid Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15010 606 $aTheoretical and Applied Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15001 606 $aApplications of Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M13003 606 $aTheoretical, Mathematical and Computational Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19005 606 $aMathematical Modeling and Industrial Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M14068 615 0$aMechanics. 615 0$aMechanics, Applied. 615 0$aApplied mathematics. 615 0$aEngineering mathematics. 615 0$aMathematical physics. 615 0$aMathematical models. 615 14$aClassical Mechanics. 615 24$aSolid Mechanics. 615 24$aTheoretical and Applied Mechanics. 615 24$aApplications of Mathematics. 615 24$aTheoretical, Mathematical and Computational Physics. 615 24$aMathematical Modeling and Industrial Mathematics. 676 $a531.0285 700 $aRomano$b Antonio$4aut$4http://id.loc.gov/vocabulary/relators/aut$0340904 702 $aMarasco$b Addolorata$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299979803321 996 $aContinuum Mechanics using Mathematica®$92523023 997 $aUNINA