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Theory Of Algebraic Functions Of One Variable

Theory of Algebraic Functions of One Variable PDF Book Details:
Author: Richard Dedekind
Publisher: American Mathematical Soc.
ISBN: 0821890344
Size: 32.78 MB
Format: PDF
Category : Mathematics
Languages : en
Pages : 152
View: 3852

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Theory Of Algebraic Functions Of One Variable PDF

by Richard Dedekind, Theory Of Algebraic Functions Of One Variable Books available in PDF, EPUB, Mobi Format. Download Theory Of Algebraic Functions Of One Variable books, 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.


Introduction To The Theory Of Algebraic Functions Of One Variable

Introduction to the theory of algebraic functions of one variable PDF Book Details:
Author: Claude Chevalley
Publisher:
ISBN:
Size: 66.13 MB
Format: PDF, Docs
Category : Functions of complex variables
Languages : en
Pages : 334
View: 587

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Introduction To The Theory Of Algebraic Functions Of One Variable PDF

by Claude Chevalley, Introduction To The Theory Of Algebraic Functions Of One Variable Books available in PDF, EPUB, Mobi Format. Download Introduction To The Theory Of Algebraic Functions Of One Variable books,


Lectures On The Theory Of Algebraic Functions Of One Variable

Lectures on the Theory of Algebraic Functions of One Variable PDF Book Details:
Author: Max Deuring
Publisher: Springer
ISBN: 3540383689
Size: 18.65 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 155
View: 6959

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Lectures On The Theory Of Algebraic Functions Of One Variable PDF

by Max Deuring, Lectures On The Theory Of Algebraic Functions Of One Variable Books available in PDF, EPUB, Mobi Format. Download Lectures On The Theory Of Algebraic Functions Of One Variable books,


Modular Functions Of One Variable Iv

Modular Functions of One Variable IV PDF Book Details:
Author: B.J. Birch
Publisher: Springer
ISBN: 3540375880
Size: 11.56 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 154
View: 1084

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Modular Functions Of One Variable Iv PDF

by B.J. Birch, Modular Functions Of One Variable Iv Books available in PDF, EPUB, Mobi Format. Download Modular Functions Of One Variable Iv books,


Topics In The Theory Of Algebraic Function Fields

Topics in the Theory of Algebraic Function Fields PDF Book Details:
Author: Gabriel Daniel Villa Salvador
Publisher: Springer Science & Business Media
ISBN: 0817645152
Size: 37.11 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 652
View: 683

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Topics In The Theory Of Algebraic Function Fields PDF

by Gabriel Daniel Villa Salvador, Topics In The Theory Of Algebraic Function Fields Books available in PDF, EPUB, Mobi Format. Download Topics In The Theory Of Algebraic Function Fields books, 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.


Number Theory

Number Theory PDF Book Details:
Author: Kazuya Kato
Publisher: American Mathematical Soc.
ISBN: 0821813552
Size: 63.10 MB
Format: PDF
Category : Class field theory
Languages : en
Pages : 226
View: 5134

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Number Theory PDF

by Kazuya Kato, Number Theory Books available in PDF, EPUB, Mobi Format. Download Number Theory books,


The Development Of Mathematics

The Development of Mathematics PDF Book Details:
Author: E. T. Bell
Publisher: Courier Corporation
ISBN: 0486152286
Size: 32.38 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 656
View: 291

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The Development Of Mathematics PDF

by E. T. Bell, The Development Of Mathematics Books available in PDF, EPUB, Mobi Format. Download The Development Of Mathematics books, Time-honored study by a prominent scholar of mathematics traces decisive epochs from the evolution of mathematical ideas in ancient Egypt and Babylonia to major breakthroughs in the 19th and 20th centuries. 1945 edition.


Galois Theory Rings Algebraic Groups And Their Applications

Galois Theory  Rings  Algebraic Groups and Their Applications PDF Book Details:
Author: Simeon Ivanov
Publisher: American Mathematical Soc.
ISBN: 9780821831403
Size: 75.12 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 269
View: 3010

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Galois Theory Rings Algebraic Groups And Their Applications PDF

by Simeon Ivanov, Galois Theory Rings Algebraic Groups And Their Applications Books available in PDF, EPUB, Mobi Format. Download Galois Theory Rings Algebraic Groups And Their Applications books,


Multiplicative Theory Of Ideals

Multiplicative Theory of Ideals PDF Book Details:
Author:
Publisher: Academic Press
ISBN: 9780080873565
Size: 66.46 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 297
View: 7244

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Multiplicative Theory Of Ideals PDF

by , Multiplicative Theory Of Ideals Books available in PDF, EPUB, Mobi Format. Download Multiplicative Theory Of Ideals books, Multiplicative Theory of Ideals


Bernhard Riemann 1826 1866

Bernhard Riemann 1826   1866 PDF Book Details:
Author: Detlef Laugwitz
Publisher: Springer Science & Business Media
ISBN: 0817647775
Size: 61.54 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 357
View: 938

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Bernhard Riemann 1826 1866 PDF

by Detlef Laugwitz, Bernhard Riemann 1826 1866 Books available in PDF, EPUB, Mobi Format. Download Bernhard Riemann 1826 1866 books, The name of Bernard Riemann is well known to mathematicians and physicists around the world. His name is indelibly stamped on the literature of mathematics and physics. This remarkable work, rich in insight and scholarship, is addressed to mathematicians, physicists, and philosophers interested in mathematics. It seeks to draw those readers closer to the underlying ideas of Riemann’s work and to the development of them in their historical context. This illuminating English-language version of the original German edition will be an important contribution to the literature of the history of mathematics.