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Introduction to the Theory of Algebraic Functions of One Variable

1951-12-31 Mathematics
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Release : 1951-12-31
Genre : Mathematics
Kind : eBook
Book Rating : 067/5 ( reviews)

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Book Synopsis Introduction to the Theory of Algebraic Functions of One Variable by : Claude Chevalley

Download or read book Introduction to the Theory of Algebraic Functions of One Variable written by Claude Chevalley. This book was released on 1951-12-31. Available in PDF, EPUB and Kindle. Book excerpt: 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

2012 Mathematics
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Release : 2012
Genre : Mathematics
Kind : eBook
Book Rating : 303/5 ( reviews)

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Book Synopsis Theory of Algebraic Functions of One Variable by : Richard Dedekind

Download or read book Theory of Algebraic Functions of One Variable written by Richard Dedekind. This book was released on 2012. Available in PDF, EPUB and Kindle. Book excerpt: 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).

Algebraic Numbers and Algebraic Functions

2018-01-18 Mathematics
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Release : 2018-01-18
Genre : Mathematics
Kind : eBook
Book Rating : 038/5 ( reviews)

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Book Synopsis Algebraic Numbers and Algebraic Functions by : P.M. Cohn

Download or read book Algebraic Numbers and Algebraic Functions written by P.M. Cohn. This book was released on 2018-01-18. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Lectures on the Theory of Algebraic Functions of One Variable

2014-01-15
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Release : 2014-01-15
Genre :
Kind : eBook
Book Rating : 219/5 ( reviews)

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Book Synopsis Lectures on the Theory of Algebraic Functions of One Variable by : Max Deuring

Download or read book Lectures on the Theory of Algebraic Functions of One Variable written by Max Deuring. This book was released on 2014-01-15. Available in PDF, EPUB and Kindle. Book excerpt:

Lectures on the Theory of Algebraic Functions of One Variable

1959 Algebraic fields
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Release : 1959
Genre : Algebraic fields
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Lectures on the Theory of Algebraic Functions of One Variable by : Max Deuring

Download or read book Lectures on the Theory of Algebraic Functions of One Variable written by Max Deuring. This book was released on 1959. Available in PDF, EPUB and Kindle. Book excerpt:

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