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Continuum Mechanics using Mathematica®

Fundamentals, Methods, and Applications

  • Antonio Romano
  • Addolorata Marasco

Table of contents

  1. Front Matter
    Pages i-xv
  2. Antonio Romano, Addolorata Marasco
    Pages 1-45
  3. Antonio Romano, Addolorata Marasco
    Pages 47-82
  4. Antonio Romano, Addolorata Marasco
    Pages 83-113
  5. Antonio Romano, Addolorata Marasco
    Pages 115-135
  6. Antonio Romano, Addolorata Marasco
    Pages 137-161
  7. Antonio Romano, Addolorata Marasco
    Pages 163-177
  8. Antonio Romano, Addolorata Marasco
    Pages 179-196
  9. Antonio Romano, Addolorata Marasco
    Pages 197-250
  10. Antonio Romano, Addolorata Marasco
    Pages 251-322
  11. Antonio Romano, Addolorata Marasco
    Pages 323-372
  12. Antonio Romano, Addolorata Marasco
    Pages 373-384
  13. Antonio Romano, Addolorata Marasco
    Pages 385-428
  14. Antonio Romano, Addolorata Marasco
    Pages 429-461
  15. Back Matter
    Pages 463-480

About this book

Introduction

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.

Keywords

Balance Equations Deformations Linear Algebra Symmetry Groups Vector Analysis Wave Propagation

Authors and affiliations

  • Antonio Romano
    • 1
  • Addolorata Marasco
    • 2
  1. 1.Department of Mathematics and Applications "R. Caccioppoli"University of Naples Federico IINaplesItaly
  2. 2.Department of Mathematics and Applications "R. Caccioppoli"University of Naples Federico IINaplesItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4939-1604-7
  • Copyright Information Springer Science+Business Media New York 2014
  • Publisher Name Birkhäuser, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4939-1603-0
  • Online ISBN 978-1-4939-1604-7
  • Series Print ISSN 2164-3679
  • Series Online ISSN 2164-3725
  • Buy this book on publisher's site