Topics in Complex Function Theory, Volume 3: Abelian Functions and Modular Funct

Description: Topics in Complex Function Theory, Volume 3 by Carl Ludwig Siegel The "Wiley Classics Library" consists of selected books originally published by John Wiley & Sons that have become recognized classics in their respective fields. With these new unabridged and inexpensive editions, Wiley hope to extend the life of these important works by making them available to future generations of mathematicians and scientists. FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher Description Develops the higher parts of function theory in a unified presentation. Starts with elliptic integrals and functions and uniformization theory, continues with automorphic functions and the theory of abelian integrals and ends with the theory of abelian functions and modular functions in several variables. The last topic originates with the author and appears here for the first time in book form. Author Biography 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. Table of Contents 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. Details ISBN0471504017 Short Title TOPICS IN COMPLEX FUNCTION THE Language English ISBN-10 0471504017 ISBN-13 9780471504016 Media Book Format Paperback DEWEY 510 Series Number 3 Year 1989 Place of Publication New York Country of Publication United States Translated from German Illustrations bibliography, index Author Carl Ludwig Siegel Edition Description Volume 3 Birth 1896 Edition Volume 3 Pages 256 Subtitle Abelian Functions and Modular Functions of Several Variables DOI 10.1604/9780471504016 UK Release Date 1989-04-19 AU Release Date 1989-04-19 NZ Release Date 1989-04-19 US Release Date 1989-04-19 Publisher John Wiley & Sons Inc Series Wiley Classics Library Publication Date 1989-04-19 Imprint Wiley-Interscience Alternative 9780471790907 Audience Postgraduate, Research & Scholarly We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:102472055;

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