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

By A.I. Markushevich

The speculation of Abelian features, which used to be on the middle of nineteenth-century arithmetic, is back attracting awareness. despite the fact that, this day it really is often noticeable not only as a bankruptcy of the overall idea of capabilities yet as a space of software of the guidelines and strategies of commutative algebra. This ebook offers an exposition of the basics of the speculation of Abelian capabilities in keeping with the tools of the classical concept of capabilities. This conception comprises the idea of elliptic capabilities as a different case. one of the themes lined are theta features, Jacobians, and Picard forms. the writer has aimed the ebook essentially at intermediate and complex graduate scholars, however it could even be obtainable to the start graduate pupil or complicated undergraduate who has an exceptional heritage in services of 1 complicated variable. This e-book will end up particularly valuable to people who aren't conversant in the analytic roots of the topic. moreover, the specified ancient advent cultivates a deep figuring out of the topic. Thorough and self-contained, the ebook will offer readers with a superb supplement to the standard algebraic procedure.

Show description

Read or Download Introduction to the Classical Theory of Abelian Functions (Translations of Mathematical Monographs) PDF

Similar Algebraic Geometry books

The Unreal Life of Oscar Zariski

The 1st biography of Oscar Zariski - arguably one of many maximum mathematicians of the 20 th century. dependent principally on interviews with Zariski, his kin, and his colleagues, it features a precis of a few of his pioneering paintings in addition to his own historical past which spans approximately eighty years and covers lots of the globe.

Using Algebraic Geometry (Graduate Texts in Mathematics)

The invention of latest algorithms for facing polynomial equations, and their implementation on quick, reasonably cheap pcs, has revolutionized algebraic geometry and ended in interesting new purposes within the box. This publication information many makes use of of algebraic geometry and highlights contemporary functions of Grobner bases and resultants.

Basic Algebraic Geometry 2: Schemes and Complex Manifolds

Quantity 2: Schemes and complicated Manifolds, covers generalizations in varied instructions of the affine and projective kinds that shape the cloth for the 1st quantity. Discusses the origins of algebraic geometry. Paper. DLC: Geometry - Algebraic.

Additional info for Introduction to the Classical Theory of Abelian Functions (Translations of Mathematical Monographs)

Show sample text content

Rated 4.25 of 5 – based on 38 votes