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CRC Handbook of Lie Group Analysis of Differential Equations, Volume I Vol. 1 : Symmetries, Exact Solutions, and Conservation Laws by Nail H. Ibragimov (1993, Uk-B Format Paperback)
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About this product
Product Identifiers
PublisherTaylor & Francis Group
ISBN-100849344883
ISBN-139780849344886
eBay Product ID (ePID)289648
Product Key Features
Number of Pages444 Pages
Publication NameCRC Handbook of Lie Group Analysis of Differential Equations, Volume I Vol. 1 : Symmetries, Exact Solutions, and Conservation Laws
LanguageEnglish
SubjectGroup Theory, Differential Equations / General, General, Algebra / General
Publication Year1993
TypeTextbook
Subject AreaMathematics
AuthorNail H. Ibragimov
FormatUk-B Format Paperback
Dimensions
Item Height0.7 in
Item Weight29.5 Oz
Item Length6.1 in
Item Width9.2 in
Additional Product Features
Intended AudienceScholarly & Professional
IllustratedYes
Table Of ContentAPPARATUS OF GROUP ANALYSIS: Lie Theory of Differential Equations: One Parameter Transformation Groups. Integration of Second-Order Ordinary Differential Equations. Group Classification of Second-Order Ordinary Differential Equations. Invariant Solutions. Generalizations: Lie-Bäcklund Transformation Groups. Noether-Type Conservation Theorems. Non-Local Symmetry Generators via Bäcklund Transformations. BODY OF RESULTS: Ordinary Differential Equations. Second Order Partial Differential Equations with Two Independent Variables. Evolution Equations I: Diffusion Equations. Evolution Equations II: General Case. Wave Equations. Hydro- and Gas- Dynamics. Hydrodynamic-Type Systems. Integrodifferential Equations. COMPUTER ASPECTS: Applications of Group Theory in Computation. Symmetry of Finite-Difference Equations. References. Indices.
SynopsisToday Lie group theoretical approach to differential equations has been extended to new situations and has become applicable to the majority of equations that frequently occur in applied sciences. Newly developed theoretical and computational methods are awaiting application. Students and applied scientists are expected to understand these methods. Volume 3 and the accompanying software allow readers to extend their knowledge of computational algebra. Written by the world's leading experts in the field, this up-to-date sourcebook covers topics such as Lie-Bäcklund, conditional and non-classical symmetries, approximate symmetry groups for equations with a small parameter, group analysis of differential equations with distributions, integro-differential equations, recursions, and symbolic software packages. The text provides an ideal introduction to the modern group analysis and addresses issues to both beginners and experienced researchers in the application of Lie group methods., Today Lie group theoretical approach to differential equations has been extended to new situations and has become applicable to the majority of equations that frequently occur in applied sciences. Newly developed theoretical and computational methods are awaiting application. Students and applied scientists are expected to understand these methods. Volume 3 and the accompanying software allow readers to extend their knowledge of computational algebra. Written by the world's leading experts in the field, this up-to-date sourcebook covers topics such as Lie-B cklund, conditional and non-classical symmetries, approximate symmetry groups for equations with a small parameter, group analysis of differential equations with distributions, integro-differential equations, recursions, and symbolic software packages. The text provides an ideal introduction to the modern group analysis and addresses issues to both beginners and experienced researchers in the application of Lie group methods., First book to provide an extensive compilation of the results of Sophus Lie and related modern results Systematizes the relevant results of Lie and natural generalizations Presents the group classification and characterization of differential equations Tabulates Lie point and contact symmetries, Lie-Backlund and nonlocal symmetries, Backlund transformations, exact solutions, and conservation laws Addresses numerical considerations Excellent for researchers in applied mathematics and physics, Today Lie group theoretical approach to differential equations has been extended to new situations and has become applicable to the majority of equations that frequently occur in applied sciences. Newly developed theoretical and computational methods are awaiting application. Students and applied scientists are expected to understand these methods. Volume 3 and the accompanying software allow readers to extend their knowledge of computational algebra.Written by the world's leading experts in the field, this up-to-date sourcebook covers topics such as Lie-Bäcklund, conditional and non-classical symmetries, approximate symmetry groups for equations with a small parameter, group analysis of differential equations with distributions, integro-differential equations, recursions, and symbolic software packages. The text provides an ideal introduction to the modern group analysis and addresses issues to both beginners and experienced researchers in the application of Lie group methods.
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