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Abelian Functions

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Dezember 2005

Beschreibung

Beschreibung

Baker's 1897 classic book on algebraic geometry and allied theory.


Inhaltsverzeichnis

1. The subject of investigation; 2. The fundamental functions on a Riemann surface; 3. The infinities of rational functions; 4. Specification of a general form of Riemann's integrals; 5. Certain forms of the fundamental equation of the Riemann surface; 6. Geometrical investigations; 7. Coordination of simple elements; 8. Abel's theorem; 9. Jacobi's inversion problem; 10. Riemann's theta functions; 11. The hyperelliptic case of Riemann's theta functions; 12. A particular form of Riemann surface; 13. Radical functions; 14. Factorial functions; 15. Relations concerning products of theta functions; 16. A direct method of obtaining the equations relating theta functions; 17. Theta relations with certain groups of characteristics; 18. Transformation of periods; 19. On systems of periods and on general Jacobian functions; 20. Transformation of theta functions; 21. Complex multiplication of theta functions; 22. Degenerate Abelian integrals; Appendix 1. On algebraic curves in space; Appendix 2. On matrices.

Pressestimmen

"...offers welcome historical insight into a key point in the history of algebraic geometry." John B. Little, Mathematical Reviews
EAN: 9780521498777
ISBN: 0521498775
Untertitel: 'Cambridge Mathematical Library'. Sprache: Englisch.
Verlag: CAMBRIDGE UNIV PR
Erscheinungsdatum: Dezember 2005
Seitenanzahl: 724 Seiten
Format: kartoniert
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