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Topics in Theory of Algebraic Functional Fields by Salvador G.D.V. is a nonfiction available to read on EtoBox.

What is Topics in Theory of Algebraic Functional Fields about?

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 of function fields as part of the algebraic theory of numbers, where a function field of one variable is the analogue of a finite extension of __Q__, the field of rational numbers. The author does not ignore the geometric-analytic aspects of function fields, but leaves an in-depth examination from this perspective to others. Key topics and features: \* Contains an introductory chapter on algebraic and numerical antecedents, including transcendental extensions of fields, absolute values on __Q__, and Riemann surfaces \* Focuses on the Riemann–Roch theorem, covering divisors, adeles or repartitions, Weil differentials, class partitions, and more \* Includes chapters on extensions, automorphisms and Galois theory, congruence function fields, the Riemann Hypothesis, the Riemann–Hurwitz Formula, applications of function fields to cryptography, class field theory, cyclotomic function fields, and Drinfeld modules \* Explains both the similaritie

Who reads Topics in Theory of Algebraic Functional Fields?

Author

Salvador G.D.V.

Publisher

Birkhäuser

Published

2006

Language

EN

ISBN

9780817644802

Category

nonfiction

Subjects

Mathematics, Stem