Topics in Complex Function Theory, Volume 2: Automorphic Functions and Abelian Integrals

Author:   Carl Ludwig Siegel (University of Göttingen, West Germany)
Publisher:   John Wiley & Sons Inc
Edition:   New edition
Volume:   Volume 2
ISBN:  

9780471608431


Pages:   208
Publication Date:   30 April 1988
Format:   Paperback
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

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Topics in Complex Function Theory, Volume 2: Automorphic Functions and Abelian Integrals


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Full Product Details

Author:   Carl Ludwig Siegel (University of Göttingen, West Germany)
Publisher:   John Wiley & Sons Inc
Imprint:   Wiley-Interscience
Edition:   New edition
Volume:   Volume 2
Dimensions:   Width: 15.00cm , Height: 1.00cm , Length: 23.30cm
Weight:   0.261kg
ISBN:  

9780471608431


ISBN 10:   0471608432
Pages:   208
Publication Date:   30 April 1988
Audience:   College/higher education ,  Undergraduate
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

AUTOMORPHIC FUNCTIONS. Fractional Linear Transformations. Noneuclidean Geometry. Discontinuous Groups. Polygon Groups. Poincar Series. The Field of Automorphic Functions. Automorphic and Algebraic Functions. Algebraic Curves of Genus 0 and 1, Canonical Polygons. ABELIAN INTEGRALS. Reduction, Existence. The Period Matrix. The Modular Group. Canonical Transformation. The Theorem of Riemann and Roch. The Theorem of Abel. The Jacobi Inversion Problem. Theta Functions. The Zeros of the Theta Function. Theta Quotients. Jacobi-Abel Functions. Cumulative Index: Vols. I & II

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Author Information

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.

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