Theory Of Algebraic Functions Of One Variable

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Lectures On The Theory Of Algebraic Functions Of One Variable

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Author : Max Deuring
language : en
Publisher: Springer
Release Date : 2006-11-15

Lectures On The Theory Of Algebraic Functions Of One Variable written by Max Deuring and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.

Introduction To The Theory Of Algebraic Functions Of One Variable

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Author : Claude Chevalley
language : en
Publisher: American Mathematical Soc.
Release Date : 1951-12-31

Introduction To The Theory Of Algebraic Functions Of One Variable written by Claude Chevalley and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1951-12-31 with Mathematics categories.

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 theory of divisors on a curve, the Riemann-Roch theorem, $p$-adic completion, and extensions of the fields of functions (covering theory) and of the fields of constants.

Theory Of Algebraic Functions Of One Variable

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Author : Richard Dedekind
language : en
Publisher: American Mathematical Society(RI)
Release Date : 2012

Theory Of Algebraic Functions Of One Variable written by Richard Dedekind and has been published by American Mathematical Society(RI) this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.

The 1882 Theorie der algebraischen Functionen einer Veränderlichen by Dedekind (1831-1916) and Weber (1842-1913) changed the direction of algebraic geometry and established its foundations by introducing methods from algebraic number theory. They used rings and ideals to give rigorous proofs of results that had previously been obtained in non-rigorous fashion, with the help of analysis and topology. Stillwell (mathematics, U. of San Francisco) believes that the paper still has gems for modern mathematicians that the standard commentaries do not mention. He presents the first English translation of it and provides commentary to the language and thinking of mathematics during the 19th century. Annotation ©2012 Book News, Inc., Portland, OR (booknews.com).

Topics In The Theory Of Algebraic Function Fields

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Author : Gabriel Daniel Villa Salvador
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-10-10

Topics In The Theory Of Algebraic Function Fields written by Gabriel Daniel Villa Salvador and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-10-10 with Mathematics categories.

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. 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.

Algebraic Numbers And Algebraic Functions

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Author : P.M. Cohn
language : en
Publisher: CRC Press
Release Date : 2018-01-18

Algebraic Numbers And Algebraic Functions written by P.M. Cohn and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-18 with Mathematics categories.

This book is an introduction to the theory of algebraic numbers and algebraic functions of one variable. The basic development is the same for both using E Artin's legant approach, via valuations. Number Theory is pursued as far as the unit theorem and the finiteness of the class number. In function theory the aim is the Abel-Jacobi theorem describing the devisor class group, with occasional geometrical asides to help understanding. Assuming only an undergraduate course in algebra, plus a little acquaintance with topology and complex function theory, the book serves as an introduction to more technical works in algebraic number theory, function theory or algebraic geometry by an exposition of the central themes in the subject.

Some Results In The Theory Of Algebraic Functions Of One Variable

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Author : Isabel (Fields) Muhly
language : en
Publisher:
Release Date : 1942

Some Results In The Theory Of Algebraic Functions Of One Variable written by Isabel (Fields) Muhly and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1942 with categories.

On The Foundations Of The Theory Of Algebraic Functions Of One Variable

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Author : John Charles Fields
language : en
Publisher:
Release Date : 1913

On The Foundations Of The Theory Of Algebraic Functions Of One Variable written by John Charles Fields and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1913 with Algebraic functions categories.

Algebraic Functions

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Author : Kenkichi Iwasawa
language : en
Publisher: American Mathematical Soc.
Release Date : 1993

Algebraic Functions written by Kenkichi Iwasawa and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.

This is a translation of Iwasawa's 1973 book, Theory of Algebraic Functions originally published in Japanese. Because the book treats mainly the classical part of the theory of algebraic functions, emphasizing analytic methods, it provides an excellent introduction to the subject from the classical viewpoint. Directed at graduate students, the book requires some basic knowledge of algebra, topology, and functions of a complex variable.

A New Method In The Theory Of Algebraic Functions Of One Variable

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Author : Mary Jean Fisher
language : en
Publisher:
Release Date : 1933

A New Method In The Theory Of Algebraic Functions Of One Variable written by Mary Jean Fisher and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1933 with categories.

On The Foundations Of The Theory Of Algebraic Functions Of One Variable Nby J C Fields Ph D Associate Professor Of Mathematics In The University Of Toronto

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Author : John Charles Fields
language : en
Publisher:
Release Date : 1913

On The Foundations Of The Theory Of Algebraic Functions Of One Variable Nby J C Fields Ph D Associate Professor Of Mathematics In The University Of Toronto written by John Charles Fields and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1913 with categories.