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8 сентября 2009 | Автор: Admin | Рубрика: Компьютерная литература » Програм-ние и разработка » Программирование | Комментариев: 0
Continuum Mechanics using Mathematica: Fundamentals, Applications and Scientific Computing (Modeling and Simulation in Science, Engineering and Technology): Antonio Romano, Renato Lancellotta, Addolorata Marasco
Birkhauser Boston | ISBN: 0817632409 | 2005-11-17 | PDF (OCR) | 388 pages | 2.8 Mb
This book's methodological approach familiarizes readers with themathematical tools required to correctly define and solve problems incontinuum mechanics. The book covers essential principles andfundamental applications, and provides a solid basis for a deeperstudy of more challenging and specialized problems related toelasticity, 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 andapplications * Requisite mathematical background carefully collected in two introductory chapters and two appendices * CD-ROM containing Mathematica-based exercises, examples, andprograms related to the text; this user-friendly software is unique inthe literature and allows readers to quickly solve complex,time-consuming problems related to the application areas covered * 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 advancedundergraduates, graduate students, and researchers in appliedmathematics, mathematical physics, and engineering. It may serve as acourse textbook or self-study reference for anyone seeking a solidfoundation in the field.
Summary: using Mathematica for advanced applications
The mathematics discussed here is quite involved. Including tensor analysis, stress-strain relations and the non-linear Navier Stokes equation. Much of the work involves numerical analysis, as there are no analytic solutions to many problems.
You can treat the book as a standard, advanced text on the subject. But the added filip here is how it shows Mathematica can be used. Most general purpose texts on Mathematica involve simpler maths; high school or undergraduate level. Yet the program is quite powerful.
The book seems aimed at those scientists and engineers who are not primarily programmers. The idea is to let Mathematica offload much of the programming burden. The tradeoff might be that a loss of efficiency vis a vis custom code. But that might be acceptable to you.