Authors:
- Strikes a balance between fundamentals and applications
- Requisite mathematical background carefully collected in two introductory chapters and two appendices
- Readers gain the mathematical tools to effectively solve problems in continuum mechanics
- Interdisciplinary applications will appeal to a broad range of students and professionals
- Includes significant applications to areas such as porous media, electromagnetic fields and phase transitions
Part of the book series: Modeling and Simulation in Science, Engineering and Technology (MSSET)
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Table of contents (13 chapters)
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Front Matter
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Back Matter
About this book
Reviews
"[The authors] bring a fresh quality to this subject. Their book of 11 chapters rigorously and clearly introduces various attributes often lacking in other books. Starting with basic linear algebra, the book migrates smoothly to curvilinear coordinates. There, the authors analyze different coordinates and introduce singular surfaces important in porous media analysis. From that point onward the authors present balance and constitutive equations common to other classical books. However, this book resourcefully goes a step further by applying Mathematica in order to clarify key concepts; this attractive feature is one of the book's strengths. In each Mathematica case, the authors define the aim of the program, description of the problem, and relative algorithm. All chapters are well written, particularly the last four on wave propagation, linear elasticity, and other topics including shock waves, Rayleigh waves, and SH waves. Given this book's elucidative and concise approach, the scientific community should look forward to reading the second volume, to treat mixtures, phase change, magnetoelastic bodies, and other important topics. Summing Up: Highly recommended. Graduate students through professionals."
—Choice (Review of the first edition)
"The book will be an invaluable reference for all those with active interest in the areas of continuum mechanics and its fundamental applications: balance laws, constitutive axioms, linear elasticity, fluid dynamics, waves, etc. It may serve as a supplement to any of the standard textbooks for undergraduate students, graduate students, and researchers in applied mathematics, mathematical physics, and engineering."
—Zentralblatt MATH (Review of the first edition)
Authors and Affiliations
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Department of Mathematics and Applications "R. Caccioppoli", University of Naples Federico II, Naples, Italy
Antonio Romano, Addolorata Marasco
About the authors
Bibliographic Information
Book Title: Continuum Mechanics using Mathematica®
Book Subtitle: Fundamentals, Methods, and Applications
Authors: Antonio Romano, Addolorata Marasco
Series Title: Modeling and Simulation in Science, Engineering and Technology
DOI: https://doi.org/10.1007/978-1-4939-1604-7
Publisher: Birkhäuser New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media New York 2014
Hardcover ISBN: 978-1-4939-1603-0Published: 15 October 2014
Softcover ISBN: 978-1-4939-3834-6Published: 30 April 2017
eBook ISBN: 978-1-4939-1604-7Published: 14 October 2014
Series ISSN: 2164-3679
Series E-ISSN: 2164-3725
Edition Number: 2
Number of Pages: XV, 480
Number of Illustrations: 84 b/w illustrations, 4 illustrations in colour
Topics: Classical Mechanics, Solid Mechanics, Theoretical and Applied Mechanics, Applications of Mathematics, Theoretical, Mathematical and Computational Physics, Mathematical Modeling and Industrial Mathematics