Elements of the theory of elliptic and associated functions with applications / by Mahadev Dutta and Lokenath Debnath.
Editor: Calcutta : World Press, 1965Descripción: xii, 290 p. ; 23 cmOtra clasificación: 33Exx0. Historical introduction1. Preliminary concepts and general discussion of periodic functions2. The general theory of elliptic functions3. Weierstrass's elliptic functions4. Weierstrass's associated functions5. Application of the Weierstrassian functions to the problems of geometry and mechanics6. The theta functions7. The Jacobi's elliptic functions8. Applications of the Jacobi's elliptic functions9. The theory of elliptic integrals10. Applications of the elliptic integrals11. The hyperelliptic and Abelian integrals12. The automorphic and elliptic modular functionsAppendix 1. Unicursal and bicursal curves. Concept of uniformisationAppendix 2. Cubic and quintic transformations. Solution of quintic equation.
| Item type | Home library | Shelving location | Call number | Materials specified | Status | Date due | Barcode |
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Instituto de Matemática, CONICET-UNS | Libros ordenados por tema | 33 D979 (Browse shelf) | Available | A-2906 |
Incluye referencias bibliográficas (p. 281-283) e índice.
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.
MR, 32 #1380
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