TY - BOOK AU - Romano,Antonio AU - Lancellotta,Renato AU - Marasco,Addolorata ED - SpringerLink (Online service) TI - Continuum Mechanics using Mathematica®: Fundamentals, Applications and Scientific Computing T2 - Modeling and Simulation in Science, Engineering and Technology SN - 9780817644581 U1 - 531 23 PY - 2006/// CY - Boston, MA PB - Birkhäuser Boston KW - PHYSICS KW - MATHEMATICS KW - MATHEMATICAL PHYSICS KW - MECHANICS KW - MECHANICS, APPLIED KW - MATERIALS KW - CONTINUUM MECHANICS AND MECHANICS OF MATERIALS KW - THEORETICAL AND APPLIED MECHANICS KW - APPLICATIONS OF MATHEMATICS KW - MATHEMATICAL AND COMPUTATIONAL PHYSICS KW - MATHEMATICAL MODELING AND INDUSTRIAL MATHEMATICS N1 - Elements of Linear Algebra -- Vector Analysis -- Finite and Infinitesimal Deformations -- Kinematics -- Balance Equations -- Constitutive Equations -- Symmetry Groups: Solids and Fluids -- Wave Propagation -- Fluid Mechanics -- Linear Elasticity -- Other Approaches to Thermodynamcis N2 - This book's methodological approach familiarizes readers with the mathematical tools required to correctly define and solve problems in continuum mechanics. The book covers essential principles and fundamental applications, and provides a solid basis for a deeper study of more challenging and specialized problems related to elasticity, fluid mechanics, plasticity, materials with memory, piezoelectricity, ferroelectricity, magneto-fluid mechanics, and state changes. Key topics and features: * Concise presentation strikes a balance between fundamentals and applications * Requisite mathematical background carefully collected in two introductory chapters and two appendices * Recent developments highlighted through coverage of more significant applications to areas such as porous media, electromagnetic fields, and phase transitions Continuum Mechanics using Mathematica® 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 the field UR - http://dx.doi.org/10.1007/0-8176-4458-X ER -