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Continuum Mechanics using Mathematica® : Fundamentals, Methods, and Applications / by Antonio Romano, Addolorata Marasco
(Modeling and Simulation in Science, Engineering and Technology. ISSN:21643725)

2nd ed. 2014.
出版者 (New York, NY : Springer New York : Imprint: Birkhäuser)
出版年 2014
大きさ XV, 480 p. 88 illus., 4 illus. in color : online resource
著者標目 *Romano, Antonio author
Marasco, Addolorata author
SpringerLink (Online service)
件 名 LCSH:Mechanics
LCSH:Mechanics, Applied
LCSH:Solids
LCSH:Mathematics
LCSH:Mathematical physics
LCSH:Mathematical models
FREE:Classical Mechanics
FREE:Solid Mechanics
FREE:Engineering Mechanics
FREE:Applications of Mathematics
FREE:Theoretical, Mathematical and Computational Physics
FREE:Mathematical Modeling and Industrial Mathematics
一般注記 1. 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
This 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
HTTP:URL=https://doi.org/10.1007/978-1-4939-1604-7
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Springer eBooks 9781493916047
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データ種別 電子ブック
分 類 LCC:QC120-168.85
LCC:QA808.2
DC23:531
書誌ID 4000115716
ISBN 9781493916047

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