Description: Abelian Functions Abel's Theorem and the Allied Theory of Theta Functions Baker's 1897 classic book on algebraic geometry and allied theory. H. F. Baker (Author), Igor Krichever (Foreword by) 9780521498777, Cambridge University Press Paperback / softback, published 14 December 1995 724 pages 22.8 x 15.3 x 3.8 cm, 0.993 kg "...offers welcome historical insight into a key point in the history of algebraic geometry." John B. Little, Mathematical Reviews Classical algebraic geometry, inseparably connected with the names of Abel, Riemann, Weierstrass, Poincaré, Clebsch, Jacobi and other outstanding mathematicians of the last century, was mainly an analytical theory. In our century it has been enriched by the methods and ideas of topology, commutative algebra and Grothendieck's schemes seemed to have replaced once and forever the somewhat naive language of classical algebraic geometry. This book contains more than its modest title suggests. Written in 1897, its scope was as broad as it could possibly be, namely to cover the whole of algebraic geometry, and associated theories. The subject is discussed by Baker in terms of transcendental functions, and in particular theta functions. Many of the ideas put forward are of continuing relevance today, and some of the most exciting ideas from theoretical physics draw on work presented here. 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. Subject Areas: Differential & Riemannian geometry [PBMP]
Price: 74.99 GBP
Location: AL7 1AD
End Time: 2024-12-17T10:45:42.000Z
Shipping Cost: 125.56 GBP
Product Images
Item Specifics
Return postage will be paid by: Buyer
Returns Accepted: Returns Accepted
After receiving the item, your buyer should cancel the purchase within: 30 days
Return policy details:
BIC Subject Area 1: Differential & Riemannian geometry [PBMP]
Book Title: Abelian Functions
ISBN: 0521498775
Publication Date: 14/12/1995
Item Depth: 38
Number of Pages: 724 Pages
Language: English
Publication Name: Abelian Functions: Abel's Theorem and the Allied Theory of Theta Functions
Publisher: Cambridge University Press
Publication Year: 1995
Subject: Mathematics
Item Height: 228 mm
Item Weight: 993 g
Type: Textbook
Author: H. F. Baker
Series: Cambridge Mathematical Library
Item Width: 153 mm
Format: Paperback
