Synopses & Reviews
"Approximate and Renormgroup Symmetries" deals with approximate transformation groups, symmetries of integro-differential equations and renormgroup symmetries. It includes a concise and self-contained introduction to basic concepts and methods of Lie group analysis, and provides an easy-to-follow introduction to the theory of approximate transformation groups and symmetries of integro-differential equations.
The book is designed for specialists in nonlinear physics - mathematicians and non-mathematicians - interested in methods of applied group analysis for investigating nonlinear problems in physical science and engineering.
Dr. N.H. Ibragimov is a professor at the Department of Mathematics and Science, Research Centre ALGA, Sweden. He is widely regarded as one of the world's foremost experts in the field of symmetry analysis of differential equations; Dr. V. F. Kovalev is a leading scientist at the Institute for Mathematical Modeling, Russian Academy of Science, Moscow.
From the reviews: "The book is dedicated to new trends in applied group analysis focused on the computation of approximate symmetries of differential equation systems containing a small parameter. ... Many worked out examples are offered illustrating the general theory. ... This is a short, self contained book providing a valuable reference for the application-oriented reader." (Fernando Haas, Mathematical Reviews, Issue 2010 f)
This book covers approximate transformations groups, symmetries of integro-differential equations and renormgroup symmetries. It includes a concise and self-contained introduction to basic concepts and methods of Lie group analysis.
Table of Contents
1. Lie group analysis in outline.- 2. Approximate transformation groups and symmetries.- 3. Symmetries of integro-differential equations.- 4. Renormgroup symmetries.- 5. Applications of renormgroup symmetries.