Abelian Functions

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

Product details

• Authors: BAKER, H F Baker, H. F. Baker, Henry Frederick Baker, Baker H. F.
• Assisted by: Krichever Igor (Foreword)
• Publisher: Cambridge University Press Academic
• Languages: English
• Product format: Paperback / Softback
• Released: 14.12.1995
• EAN: 9780521498777
• ISBN: 978-0-521-49877-7
• Dimensions: 153 mm x 228 mm x 35 mm
• Series: Cambridge Mathematical Library; Cambridge Mathematical Library
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Geometry; MATHEMATICS / Geometry / Algebraic, MATHEMATICS / Geometry / Differential, Algebraic Geometry, Differential & Riemannian geometry, Differential and Riemannian geometry