Overview
- 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
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Applied and Computational Mechanics (LNACM, volume 73)
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Table of contents (7 chapters)
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Front Matter
Keywords
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.
Editors and Affiliations
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
DOI: https://doi.org/10.1007/978-3-319-08296-7
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer International Publishing Switzerland 2014
Hardcover ISBN: 978-3-319-08295-0Published: 01 August 2014
Softcover ISBN: 978-3-319-37851-0Published: 17 September 2016
eBook ISBN: 978-3-319-08296-7Published: 19 July 2014
Series ISSN: 1613-7736
Series E-ISSN: 1860-0816
Edition Number: 1
Number of Pages: VII, 376
Number of Illustrations: 27 b/w illustrations, 1 illustrations in colour
Topics: Solid Mechanics, Classical Mechanics, Computational Science and Engineering