Note: Supplemental materials are not guaranteed with Rental or Used book purchases.
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What is included with this book?
Preface | |
1. Introduction | |
Part I. Ordinary Differential Equations: 2. Point transformations and their generators | |
3. Lie point symmetries of ordinary differential equations: the basic definitions and properties | |
4. How to find the Lie point symmetries of an ordinary differential equation | |
5. How to use Lie point symmetries: differential equations with one symmetry | |
6. Some basic properties of Lie algebras | |
7. How to use Lie point symmetries: second order differential equations admitting a G2 | |
8. Second order differential equations admitting a G3IX | |
9. Higher order differential equations admitting more than one Lie point symmetry | |
10 Systems of second order differential equations | |
11. Symmetries more general than Lie point symmetries | |
12. Dynamical symmetries: the basic definitions and properties | |
13. How to find and use dynamical symmetries for systems possessing a Lagrangian | |
14. Systems of first order differential equations with a fundamental system of solutions | |
Part II. Partial Differential Equations: 15. Lie point transformations and symmetries | |
16. How to determine the point symmetries of partial differential equations | |
17. How to use Lie point symmetries of partial differential equations I: generating solutions by symmetry | |
18. How to use Lie point symmetries of partial differential equations II: similarity variables and reduction of the number of variables | |
19. How to use Lie point symmetries of partial differential equations III: multiple reduction of variables and differential invariants | |
20. Symmetries and the separability of partial differential classification | |
21. Contact transformations and contact symmetries of partial differential equations, and how to use them | |
22. Differential equations and symmetries in the language of forms | |
23. Lie-Backlund transformations | |
24. Lie-Backlund symmetries and how to find them | |
25. How to use Lie-Backlund symmetries | |
Appendices | |
Index. |
The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.
The Used, Rental and eBook copies of this book are not guaranteed to include any supplemental materials. Typically, only the book itself is included. This is true even if the title states it includes any access cards, study guides, lab manuals, CDs, etc.