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Similarity and Symmetry Methods - Applications in Elasticity and Mechanics of Materials (Hardcover, 2014 ed.)
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Similarity and Symmetry Methods - Applications in Elasticity and Mechanics of Materials (Hardcover, 2014 ed.)
Series: Lecture Notes in Applied and Computational Mechanics, 73
Expected to ship within 12 - 19 working days
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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.
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