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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Bibliographic Details

Title

Introduction to the Classical Theory of Abelian Functions

Publisher

American Mathematical Society, Providence, RI

Publication Date

1992

Language

English

ISBN 10

082184542X

ISBN 13

9780821845424

Binding

Hardcover

Condition

ex library-good

Seller catalogs

Science

About this title

Synopsis

The theory of Abelian functions, which was at the center 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.

Language Notes

Text: English (translation)
Original Language: Russian

"About this title" may belong to another edition of this title.

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