
- 432 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
Group Analysis of Differential Equations
About this book
Group Analysis of Differential Equations provides a systematic exposition of the theory of Lie groups and Lie algebras and its application to creating algorithms for solving the problems of the group analysis of differential equations. This text is organized into eight chapters. Chapters I to III describe the one-parameter group with its tangential field of vectors. The nonstandard treatment of the Banach Lie groups is reviewed in Chapter IV, including a discussion of the complete theory of Lie group transformations. Chapters V and VI cover the construction of partial solution classes for the given differential equation with a known admitted group. The theory of differential invariants that is developed on an infinitesimal basis is elaborated in Chapter VII. The last chapter outlines the ways in which the methods of group analysis are used in special issues involving differential equations. This publication is a good source for students and specialists concerned with areas in which ordinary and partial differential equations play an important role.
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Yes, you can access Group Analysis of Differential Equations by L. V. Ovsiannikov in PDF and/or ePUB format, as well as other popular books in Mathematics & Calculus. We have over one million books available in our catalogue for you to explore.
Information
Table of contents
- Front Cover
- Group Analysis of Differential Equations
- Copyright Page
- Table of Contents
- Editor's Preface
- Preface
- Notation
- Chapter I. One-Parameter Transformation Groups
- Chapter II. Groups Admitted by Differential Equations
- Chapter III. Full Groups of Concrete Systems of Equations
- Chapter IV. The Lie Theory
- Chapter V. Invariant Solutions
- Chapter VI. Partial Invariance
- Chapter VII. Differential Invariants
- Chapter VIII. Special Problems
- Appendix: Tables of Calculated Full Groups
- Supplementary References
- Index