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Lecture Notes in Applied and Computational Mechanics

Similarity and Symmetry Methods

Applications in Elasticity and Mechanics of Materials

Editors: Ganghoffer, Jean-François, Mladenov, Ivaïlo (Eds.)

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  • Provides a complete overview of the concept of symmetries in applied mathematics, engineering and especially mechanics
  • Intended for graduate and PhD students willing to discover the interest of symmetries, but also for researchers willing to apply modern and new symmetry techniques or to efficiently solve boundary value problems in engineering
  • Written by experts in the field
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  • ISBN 978-3-319-08296-7
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Hardcover 155,99 €
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Softcover 136,06 €
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  • ISBN 978-3-319-37851-0
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About this book

The principle aim of the book is to present a self-contained, modern account of similarity and symmetry methods, which are important mathematical tools for both physicists, engineers and applied mathematicians. The idea is to provide a balanced presentation of the mathematical techniques and applications of symmetry methods in mathematics, physics and engineering.

That is why it includes recent developments and many examples in finding systematically conservation laws, local and nonlocal symmetries for ordinary and partial differential equations.

The role of continuous symmetries in classical and quantum field theories is exposed at a technical level accessible even for non specialists. The importance of symmetries in continuum mechanics and mechanics of materials is highlighted through recent developments, such as the construction of constitutive models for various materials combining Lie symmetries with experimental data.

As a whole this book is a unique collection of contributions from experts in the field, including specialists in the mathematical treatment of symmetries, researchers using symmetries from a fundamental, applied or numerical viewpoint.

The book is a fascinating overview of symmetry methods aimed for graduate students in physics, mathematics and engineering, as well as researchers either willing to enter in the field or to capture recent developments and applications of symmetry methods in different scientific fields.

Table of contents (7 chapters)

Table of contents (7 chapters)
  • Some Recent Developments in Finding Systematically Conservation Laws and Nonlocal Symmetries for Partial Differential Equations

    Pages 1-59

    Bluman, George (et al.)

  • Construction of Conservation Laws Using Symmetries

    Pages 61-164

    Ibragimov, Nail H.

  • Symbolic Computation of Nonlocal Symmetries and Nonlocal Conservation Laws of Partial Differential Equations Using the GeM Package for Maple

    Pages 165-184

    Cheviakov, Alexei F.

  • Symmetries of Hamiltonian Systems on Symplectic and Poisson Manifolds

    Pages 185-269

    Marle, Charles-Michel

  • Symmetries in Mechanics: From Field Theories to Master Responses in the Constitutive Modeling of Materials

    Pages 271-351

    Ganghoffer, Jean-François

Buy this book

eBook 107,09 €
price for Spain (gross)
  • ISBN 978-3-319-08296-7
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 155,99 €
price for Spain (gross)
  • ISBN 978-3-319-08295-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 136,06 €
price for Spain (gross)
  • ISBN 978-3-319-37851-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Rent the eBook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Similarity and Symmetry Methods
Book Subtitle
Applications in Elasticity and Mechanics of Materials
Editors
  • Jean-François Ganghoffer
  • Ivaïlo Mladenov
Series Title
Lecture Notes in Applied and Computational Mechanics
Series Volume
73
Copyright
2014
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-08296-7
DOI
10.1007/978-3-319-08296-7
Hardcover ISBN
978-3-319-08295-0
Softcover ISBN
978-3-319-37851-0
Series ISSN
1613-7736
Edition Number
1
Number of Pages
VII, 376
Number of Illustrations
27 b/w illustrations, 1 illustrations in colour
Topics