Topics in the Theory of Algebraic Function Fields Gabriel Daniel Villa Salvador

ISBN: 9780817644802

Published: July 1st 2006

Hardcover

652 pages


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Topics in the Theory of Algebraic Function Fields  by  Gabriel Daniel Villa Salvador

Topics in the Theory of Algebraic Function Fields by Gabriel Daniel Villa Salvador
July 1st 2006 | Hardcover | PDF, EPUB, FB2, DjVu, talking book, mp3, RTF | 652 pages | ISBN: 9780817644802 | 10.12 Mb

The fields of algebraic functions of one variable appear in several areas of mathematics: complex analysis, algebraic geometry, and number theory. This text adopts the latter perspective by applying an arithmetic-algebraic viewpoint to the study ofMoreThe fields of algebraic functions of one variable appear in several areas of mathematics: complex analysis, algebraic geometry, and number theory. This text adopts the latter perspective by applying an arithmetic-algebraic viewpoint to the study of function fields as part of the algebraic theory of numbers.

The examination explains both the similarities and fundamental differences between function fields and number fields, including many exercises and examples to enhance understanding and motivate further study. The only prerequisites are a basic knowledge of field theory, complex analysis, and some commutative algebra.



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