Transitions of Mathematical Monographs Vol. 96. viii, 175 p. 26 cm. Ex library wth labels on spine and rear pastedown, ink stamp on rear endpaper, top edge. Slight dents in top edges.

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Detalles bibliogr�ficos

T�tulo

Introduction to the Classical Theory of Abelian Functions

Editor

American Mathematical Society, Providence, RI

Fecha de publicaci�n

1992

Idioma

Ingl�s

ISBN 10

082184542X

ISBN 13

9780821845424

Encuadernaci�n

Hardcover

Estado

ex library-good

Cat�logos de vendedores

Science

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Rese�a del editor

The theory of Abelian functions, which was at the centre of nineteenth-century mathematics, is again attracting attention. However, today it is frequently seen not just as a chapter of the general theory of functions, but as an area of application of the ideas and methods of commutative algebra. This book presents an exposition of the fundamentals of the theory of Abelian functions based on the methods of the classical theory of functions. This theory includes the theory of elliptic functions as a special case. Among the topics covered are theta functions, Jacobians, and Picard varieties. The author has aimed the book primarily at intermediate and advanced graduate students, but it would also be accessible to the beginning graduate student or advanced undergraduate who has a solid background in functions of one complex variable. This book will prove especially useful to those who are not familiar with the analytic roots of the subject. In addition, the detailed historical introduction cultivates a deep understanding of the subject. Thorough and self-contained, the book will provide readers with an excellent complement to the usual algebraic approach.

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