Introduction to symmetry analysis /
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| Author / Creator: | Cantwell, Brian. |
|---|---|
| Imprint: | Cambridge, UK ; New York : Cambridge University Press, 2002. |
| Description: | xli, 612 p. : ill. ; 24 cm. + 1 CD-ROM (4 3/4 in.) |
| Language: | English |
| Series: | Cambridge texts in applied mathematics |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/4818606 |
Table of Contents:
- Preface
- 1. Introduction to symmetry
- 2. Dimensional analysis
- 3. Systems of ODE's, first order PDE's, state-space analysis
- 4. Classical dynamics
- 5. Introduction to one-parameter Lie groups
- 6. First order ordinary differential equations
- 7. Differential functions and notation
- 8. Ordinary differential equations
- 9. Partial differential equations
- 10. Laminar boundary layers
- 11. Incompressible flow
- 12. Compressible flow
- 13. Similarity rules for turbulent shear flows
- 14. Lie-Bäcklund transformations
- 15. Invariance condition for integrals, variational symmetries
- 16. Bäcklund transformations and non-local groups
- Appendix 1. Review of calculus and the theory of contact
- Appendix 2. Invariance of the contact conditions under Lie point transformation groups
- Appendix 3. Infinite-order structure of Lie-Bäcklund transformations
- Appendix 4. Symmetry analysis software
