000 03988nam a22005295i 4500
001 978-3-319-08296-7
003 DE-He213
005 20200421112547.0
007 cr nn 008mamaa
008 140719s2014 gw | s |||| 0|eng d
020 _a9783319082967
_9978-3-319-08296-7
024 7 _a10.1007/978-3-319-08296-7
_2doi
050 4 _aTA405-409.3
050 4 _aQA808.2
072 7 _aTG
_2bicssc
072 7 _aTEC009070
_2bisacsh
072 7 _aTEC021000
_2bisacsh
082 0 4 _a620.1
_223
245 1 0 _aSimilarity and Symmetry Methods
_h[electronic resource] :
_bApplications in Elasticity and Mechanics of Materials /
_cedited by Jean-Fran�cois Ganghoffer, Iva�ilo Mladenov.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2014.
300 _aVII, 376 p. 28 illus., 1 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Applied and Computational Mechanics,
_x1613-7736 ;
_v73
505 0 _aSome Recent Developments in Finding Systematically Conservation Laws and Nonlocal Symmetries for Partial Dierential Equations -- Construction of Conservation Laws Using Symmetries -- Symbolic Computation Of Nonlocal Symmetries And Nonlocal Conservation Laws Of Partial Differential Equations Using The Gem Package For Maple -- Symmetries of Hamiltonian Systems on Symplectic and Poisson Manifolds -- Symmetries in Mechanics: From Field Theories to Master Responses in the Constitutive Modeling of Materials -- Symmetries and Some Special Solutions of the Helfrich Model -- Lie Group Analysis of the Willmore and Membrane Shape Equations.
520 _aThe 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.
650 0 _aEngineering.
650 0 _aComputer mathematics.
650 0 _aMechanics.
650 0 _aContinuum mechanics.
650 1 4 _aEngineering.
650 2 4 _aContinuum Mechanics and Mechanics of Materials.
650 2 4 _aMechanics.
650 2 4 _aComputational Science and Engineering.
700 1 _aGanghoffer, Jean-Fran�cois.
_eeditor.
700 1 _aMladenov, Iva�ilo.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319082950
830 0 _aLecture Notes in Applied and Computational Mechanics,
_x1613-7736 ;
_v73
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-319-08296-7
912 _aZDB-2-ENG
942 _cEBK
999 _c58610
_d58610