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Topics in the Theory of Algebraic Function Fields
Language: en
Pages: 658
Authors: Gabriel Daniel Villa Salvador
Categories: Mathematics
Type: BOOK - Published: 2007-10-10 - Publisher: Springer Science & Business Media

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The fields of algebraic functions of one variable appear in several areas of mathematics: complex analysis, algebraic geometry, and number theory. This text ado
Algebraic Function Fields and Codes
Language: en
Pages: 360
Authors: Henning Stichtenoth
Categories: Mathematics
Type: BOOK - Published: 2009-02-11 - Publisher: Springer Science & Business Media

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This book links two subjects: algebraic geometry and coding theory. It uses a novel approach based on the theory of algebraic function fields. Coverage includes
Number Theory in Function Fields
Language: en
Pages: 355
Authors: Michael Rosen
Categories: Mathematics
Type: BOOK - Published: 2013-04-18 - Publisher: Springer Science & Business Media

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Early in the development of number theory, it was noticed that the ring of integers has many properties in common with the ring of polynomials over a finite fie
Introduction to the Theory of Algebraic Functions of One Variable
Language: en
Pages: 204
Authors: Claude Chevalley
Categories: Mathematics
Type: BOOK - Published: 1951-12-31 - Publisher: American Mathematical Soc.

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Presents an approach to algebraic geometry of curves that is treated as the theory of algebraic functions on the curve. This book discusses such topics as the t
Algebraic Functions and Projective Curves
Language: en
Pages: 195
Authors: David Goldschmidt
Categories: Mathematics
Type: BOOK - Published: 2006-04-06 - Publisher: Springer Science & Business Media

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This book gives an introduction to algebraic functions and projective curves. It covers a wide range of material by dispensing with the machinery of algebraic g