Download E-books Introduction to the Classical Theory of Abelian Functions (Translations of Mathematical Monographs) PDF

By A.I. Markushevich

The idea of Abelian features, which was once on the heart of nineteenth-century arithmetic, is back attracting consciousness. besides the fact that, this day it truly is often noticeable not only as a bankruptcy of the overall conception of services yet as a space of program of the information and strategies of commutative algebra. This publication offers an exposition of the basics of the idea of Abelian features in keeping with the equipment of the classical thought of capabilities. This thought comprises the idea of elliptic capabilities as a distinct case. one of the themes lined are theta features, Jacobians, and Picard forms. the writer has aimed the e-book essentially at intermediate and complicated graduate scholars, however it might even be available to the start graduate pupil or complex undergraduate who has a superior heritage in capabilities of 1 complicated variable. This e-book will end up in particular worthy to people who should not acquainted with the analytic roots of the topic. additionally, the designated old creation cultivates a deep realizing of the topic. Thorough and self-contained, the booklet will supply readers with a very good supplement to the standard algebraic strategy.

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