Overview
- First book to introduce to an emerging field in modern group analysis
- Offers a unique opportunity to develop analytical skills in this field
- Enables the reader to apply new methods in his/her own research
Part of the book series: Nonlinear Physical Science (NPS)
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About this book
"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.
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Keywords
Table of contents (5 chapters)
Reviews
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)
Authors and Affiliations
Bibliographic Information
Book Title: Approximate and Renormgroup Symmetries
Authors: Nail H. Ibragimov, Vladimir F. Kovalev
Series Title: Nonlinear Physical Science
DOI: https://doi.org/10.1007/978-3-642-00228-1
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2009
Hardcover ISBN: 978-3-642-00227-4Published: 16 June 2009
eBook ISBN: 978-3-642-00228-1Published: 14 November 2009
Series ISSN: 1867-8440
Series E-ISSN: 1867-8459
Edition Number: 1
Number of Pages: III, 147
Additional Information: Jointly published with Higher Education Press
Topics: Applications of Mathematics