Some Results In The Theory Of Algebraic Functions Of One Variable
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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.
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).
Lectures On The Theory Of Algebraic Functions Of One Variable
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Author : Max Deuring
language : en
Publisher:
Release Date : 2014-01-15
Lectures On The Theory Of Algebraic Functions Of One Variable written by Max Deuring and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Lectures On The Theory Of Algebraic Functions Of One Variable
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Author : Max Deuring
language : en
Publisher:
Release Date : 1959
Lectures On The Theory Of Algebraic Functions Of One Variable written by Max Deuring and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1959 with Algebraic fields categories.
Introduction To The Theory Of Algebraic Functions Of One Variable
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Author : Claude Chevalley
language : en
Publisher:
Release Date : 1955
Introduction To The Theory Of Algebraic Functions Of One Variable written by Claude Chevalley and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1955 with categories.
Algebraic Functions And Projective Curves
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Author : David Goldschmidt
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-04-06
Algebraic Functions And Projective Curves written by David Goldschmidt 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 2006-04-06 with Mathematics categories.
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 geometry and proceeding directly via valuation theory to the main results on function fields. It also develops the theory of singular curves by studying maps to projective space, including topics such as Weierstrass points in characteristic p, and the Gorenstein relations for singularities of plane curves.
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.
Theory Of Algebraic Functions Of One Variable
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Author : Richard Dedekind
language : en
Publisher: American Mathematical Soc.
Release Date : 2012-07-23
Theory Of Algebraic Functions Of One Variable written by Richard Dedekind 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 2012-07-23 with Mathematics categories.
This book is the first English translation of the classic long paper Theorie der algebraischen Functionen einer Veranderlichen (Theory of algebraic functions of one variable), published by Dedekind and Weber in 1882. The translation has been enriched by a Translator's Introduction that includes historical background, and also by extensive commentary embedded in the translation itself. The translation, introduction, and commentary provide the first easy access to this important paper for a wide mathematical audience: students, historians of mathematics, and professional mathematicians. Why is the Dedekind-Weber paper important? In the 1850s, Riemann initiated a revolution in algebraic geometry by interpreting algebraic curves as surfaces covering the sphere. He obtained deep and striking results in pure algebra by intuitive arguments about surfaces and their topology. However, Riemann's arguments were not rigorous, and they remained in limbo until 1882, when Dedekind and Weber put them on a sound foundation. The key to this breakthrough was to develop the theory of algebraic functions in analogy with Dedekind's theory of algebraic numbers, where the concept of ideal plays a central role. By introducing such concepts into the theory of algebraic curves, Dedekind and Weber paved the way for modern algebraic geometry.
Algebraic Numbers And Algebraic Functions
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Author : Emil Artin
language : en
Publisher: American Mathematical Soc.
Release Date : 2005
Algebraic Numbers And Algebraic Functions written by Emil Artin 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 2005 with Mathematics categories.
Originated from the notes of a course given at Princeton University in 1950-1951, this text offers an introduction to algebraic numbers and algebraic functions. It starts with the general theory of valuation fields, proceeds to the local class field theory, and then to the theory of function fields in one variable.
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.