Modeling and Simulation in Science, Engineering and Technology

Continuum Mechanics using Mathematica®

Fundamentals, Methods, and Applications

Authors: Romano, Antonio, Marasco, Addolorata

  • 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
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eBook $69.99
price for USA (gross)
  • ISBN 978-1-4939-1604-7
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $89.99
price for USA
  • ISBN 978-1-4939-1603-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $89.99
price for USA
  • ISBN 978-1-4939-3834-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

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, Applications and Scientific Computing 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.

About the authors

Antonio Romano has been the author or co-author of numerous books on mechanics and Mathematica and he has taught courses in mechanics for 35 years at "Il Fredrico" University in Naples. Addolorata Marasco is a Professor of Mathematics at the University of Naples Federico II, Italy. She received her PhD in 2003 in Applied Mathematics and Informatics.

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)


Table of contents (13 chapters)

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-1-4939-1604-7
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $89.99
price for USA
  • ISBN 978-1-4939-1603-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $89.99
price for USA
  • ISBN 978-1-4939-3834-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Continuum Mechanics using Mathematica®
Book Subtitle
Fundamentals, Methods, and Applications
Authors
Series Title
Modeling and Simulation in Science, Engineering and Technology
Copyright
2014
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media New York
Distribution Rights
Distribution rights for India: Researchco Book Centre, New Delhi, India
eBook ISBN
978-1-4939-1604-7
DOI
10.1007/978-1-4939-1604-7
Hardcover ISBN
978-1-4939-1603-0
Softcover ISBN
978-1-4939-3834-6
Series ISSN
2164-3679
Edition Number
2
Number of Pages
XV, 480
Number of Illustrations and Tables
84 b/w illustrations, 4 illustrations in colour
Topics