… Symmetry analysis based on Lie group theory is the most important method for solving
nonlinear problems aside from numerical computation. The method can be used to find the …

… a self-contained introductory textbook on Lie group analysis, … about the use of symmetry
methods in solving differential … through the method of symmetry analysis used for differential …

… reader with a comprehensive introduction to the applications of symmetry analysis to ordinary
and … The application of symmetry analysis to problems from physics, mathematics, and en…

… Laboratory, where we can hope that the symmetry becomes exact, because in that kinematical
… symmetry In its most intuitive form, dilatation symmetry is related to dimensional analysis. …

… The theme of this book is to emphasize the role of symmetry in various aspects of mechanics.
This introduction treats a collection of topics fairly rapidly. The student should not expect to …

… Chapter 7 deals with the symmetry properties of functions, with … the detailed analysis of
tensor properties and tensor operators. … Before introducing these we give examples of various …

… ‘symmetry elements’) invariant, the cell is m times smaller than the overall structure. The
practice of Fourier analysis (for instance in the case where the ‘symmetry … on the symmetry cell, …

… The belief that geometries can be classified by their symmetry groups is no longer tenable.
However, the correspondence for the classical geometries and their groups remains valid. …

… , groups and boundary value problems, a progressive introduction to noncommutative
harmonic analysis of partial differential equations in domains with geometrical symmetry. Comput …

… Dissymmetry is lack of symmetry, so we can rephrase this as ‘The symmetry of the causes
must be reproduced in the effects.’ Suitably interpreted, this principle is arguably true, but its …