Elements of the theory of elliptic and associated functions with applications /
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| Formato: | Libro |
| Idioma: | English |
| Publicado: |
Calcutta :
World Press,
1965.
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Tabla de Contenidos:
- 0. Historical introduction
- 1. Preliminary concepts and general discussion of periodic functions
- 2. The general theory of elliptic functions
- 3. Weierstrass's elliptic functions
- 4. Weierstrass's associated functions
- 5. Application of the Weierstrassian functions to the problems of geometry and mechanics
- 6. The theta functions
- 7. The Jacobi's elliptic functions
- 8. Applications of the Jacobi's elliptic functions
- 9. The theory of elliptic integrals
- 10. Applications of the elliptic integrals
- 11. The hyperelliptic and Abelian integrals
- 12. The automorphic and elliptic modular functions
- Appendix 1. Unicursal and bicursal curves. Concept of uniformisation
- Appendix 2. Cubic and quintic transformations. Solution of quintic equation.