Similarity and Symmetry Methods: Applications in Elasticity and Mechanics of Materials (Lecture Notes in Applied and Computational Mechanics) - Jean-François Ganghoffer
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Similarity and Symmetry Methods: Applications in Elasticity and Mechanics of Materials (Lecture Notes in Applied and Computational Mechanics)
Jean-François Ganghoffer
Synopsis "Similarity and Symmetry Methods: Applications in Elasticity and Mechanics of Materials (Lecture Notes in Applied and Computational Mechanics) "
The principle aim of the book is to present a self-contained, modern account ofsimilarity and symmetry methods, which are important mathematical tools forboth physicists, engineers and applied mathematicians. The idea is to provide abalanced presentation of the mathematical techniques and applications of sym-metry methods in mathematics, physics and engineering.That is why it includes recent developments and many examples in nding sys-tematically conservation laws, local and nonlocal symmetries for ordinary andpartial differential equations.The role of continuous symmetries in classical and quantum eld theories is ex-posed at a technical level accessible even for non specialists. The importance ofsymmetries in continuum mechanics and mechanics of materials is highlightedthrough recent developments, such as the construction of constitutive models forvarious materials combining Lie symmetries with experimental data.As a whole this book is a unique collection of contributions from experts inthe eld, including specialists in the mathematical treatment of symmetries, re-searchers using symmetries from a fundamental, applied or numerical viewpoint.The book is a fascinating overview of symmetry methods aimed for graduatestudents in physics, mathematics and engineering, as well as researchers eitherwiling to enter in the eld or to capture recent developments and applicationsof symmetry methods in different scientific fields.The principle aim of the book is to present a self-contained, modern account ofsimilarity and symmetry methods, which are important mathematical tools forboth physicists, engineers and applied mathematicians. The idea is to provide abalanced presentation of the mathematical techniques and applications of sym-metry methods in mathematics, physics and engineering.That is why it includes recent developments and many examples in nding sys-tematically conservation laws, local and nonlocal symmetries for ordinary andpartial differential equations.The role of continuous symmetries in classical and quantum eld theories is ex-posed at a technical level accessible even for non specialists. The importance ofsymmetries in continuum mechanics and mechanics of materials is highlightedthrough recent developments, such as the construction of constitutive models forvarious materials combining Lie symmetries with experimental data.As a whole this book is a unique collection of contributions from experts inthe eld, including specialists in the mathematical treatment of symmetries, re-searchers using symmetries from a fundamental, applied or numerical viewpoint.The book is a fascinating overview of symmetry methods aimed for graduatestudents in physics, mathematics and engineering, as well as researchers eitherwiling to enter in the eld or to capture recent developments and applicationsof symmetry methods in different scientific fields.
