Identificacion Principal del registro INGC-EBK-000596

Control Number Identifier AR-LpUFI

LAST MODIFICATION DATE 20160913120854

CONTROL FIELD cr nn 008mamaa

CONTROL FIELD 140719s2014 gw | s |||| 0|eng d

a International Standard Book Number 9783319082967

a Standard number or code 10.1007/978-3-319-08296-7

a Title Similarity and Symmetry Methods

h Medium [libro electrónico] : ;

b Remainder of title Applications in Elasticity and Mechanics of Materials /

c Statement of responsibility, etc edited by Jean-Francois Ganghoffer, Ivailo Mladenov.

a Place of publication, distribution, etc Cham :

b Name of publisher, distributor, etc Springer International Publishing :

b Name of publisher, distributor, etc Imprint: Springer,

c Date of publication, distribution, etc 2014.

a Extent vii, 376 p. :

b Other physical details il.

a Series statement Lecture Notes in Applied and Computational Mechanics,

x International Standard Serial Number 1613-7736 ;

v Volume number/sequential designation 73

a Formatted contents note Some 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.

a Summary, etc 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.

a Topical term or geographic name as entry element Engineering.

a Topical term or geographic name as entry element Computer mathematics.

a Topical term or geographic name as entry element Mechanics.

a Topical term or geographic name as entry element Continuum mechanics.

a Topical term or geographic name as entry element Mechanics of Materials.

a Topical term or geographic name as entry element Computational Science and Engineering.

a Personal name Ganghoffer, Jean-Francois,

e Relator term ed.

a Personal name Mladenov, Ivailo,

e Relator term ed.

u Uniform Resource Identifier (R) http://dx.doi.org/10.1007/978-3-319-08296-7

c item type EBK

a descripción COM