1989年Siegel C. L.編著圖書。
基本介紹
- 外文名：Topics in Complex Function Theory
- 作者：Siegel C. L.
- 出版日期：1989年1月
- ISBN：9780471504016
作者簡介,目錄,
作者簡介
Biography of Carl Ludwig Siegel
Carl Ludwig Siegel was born on December 31, 1896 in Berlin. He studied mathematics and astronomy in Berlin and Gttingen and held chairs at the Universities of Frankfurt and Gttingen before moving to the Institute for Advanced Study in Princeton in 1940. He returned to Gttingen in 1951 and died there in 1981.
Siegel was one of the leading mathematicians of the twentieth century, whose work, noted for its depth as well as breadth, ranged over many different fields such as number theory from the analytic, algebraic and geometrical points of view, automorphic functions of several complex variables, symplectic geometry, celestial mechanics.
Biography of Jrgen Moser
Jrgen Moser was born on July 4, 1928 in Knigsberg, then Germany. After the war he studied in Gttingen, where he received his doctoral degree in 1952 and subsequently was assistant to C.L. Siegel. In 1955 he emigrated to the USA. He held positions a M.I.T., Cambridge and primarily at the Courant Institute of Mathematical Sciences in New York; from 1967 to 1970 he was Director of this institute. In 1980 he moved to the ETH in Zrich where he now is Director of the mathematical Research Institute.
Moser has worked in various areas of analysis. Besides celestial mechanics and KAM theory he contributed to spectral theory, partial differential equations and complex analysis.
目錄
ABELIAN FUNCTIONS.
Power Series in Several Variables.
The Preparation Theorem.
Regular Functions.
Meromorphic Functions.
The Theorem of Weierstrass and Cousin.
The Period Group.
Jacobian Functions.
Linearization of the Exponent System.
The Period Relations.
The Reduced Exponent System.
Existence Proofs.
Picard Varieties.
The Addition Theorem.
MODULAR FUNCTIONS OF SEVERAL VARIABLES.
Automorphic Functions of Several Variables.
Algebraic Relations Between Automorphic Functions.
Symplectic Geometry.
Abelian Functions and Modular Functions.
The Fundamental Region of the Modular Group.
Modular Forms.
The Field of Modular Functions.
Algebraic Dependence.
Bibliography.
Cumulative Index Volumes I, II, and III.
