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Theory Of Algebraic Functions Of One Variable

Theory of Algebraic Functions of One Variable PDF
Author: Richard Dedekind
Publisher: American Mathematical Soc.
ISBN: 0821890344
Format: PDF, ePub, Docs
Pages : 152
Category : Mathematics
Languages : en
Size: 53.94 MB
View: 1303

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Theory Of Algebraic Functions Of One Variable

by Richard Dedekind, Theory Of Algebraic Functions Of One Variable Books available in PDF, EPUB, Kindle, Docs and 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.


Topics In The Theory Of Algebraic Function Fields

Topics in the Theory of Algebraic Function Fields PDF
Author: Gabriel Daniel Villa Salvador
Publisher: Springer Science & Business Media
ISBN: 0817645152
Format: PDF, Kindle
Pages : 652
Category : Mathematics
Languages : en
Size: 57.51 MB
View: 2916

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Topics In The Theory Of Algebraic Function Fields

by Gabriel Daniel Villa Salvador, Topics In The Theory Of Algebraic Function Fields Books available in PDF, EPUB, Kindle, Docs and 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.


Introduction To The Theory Of Algebraic Functions Of One Variable

Introduction to the Theory of Algebraic Functions of One Variable PDF
Author: Claude Chevalley
Publisher: American Mathematical Soc.
ISBN: 0821815067
Format: PDF
Pages : 188
Category : Mathematics
Languages : en
Size: 62.29 MB
View: 2692

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Introduction To The Theory Of Algebraic Functions Of One Variable

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


Lectures On The Theory Of Algebraic Functions Of One Variable

Lectures on the Theory of Algebraic Functions of One Variable PDF
Author: Max Deuring
Publisher: Springer
ISBN: 3540383689
Format: PDF, ePub
Pages : 155
Category : Mathematics
Languages : en
Size: 71.59 MB
View: 2035

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Lectures On The Theory Of Algebraic Functions Of One Variable

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


Introduction To The Theory Of Algebraic Functions Of One Variable

Introduction to the Theory of Algebraic Functions of One Variable PDF
Author: American Mathematical Society
Publisher:
ISBN:
Format: PDF, Kindle
Pages : 188
Category : Functions of complex variables
Languages : en
Size: 44.63 MB
View: 3411

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Introduction To The Theory Of Algebraic Functions Of One Variable

by American Mathematical Society, Introduction To The Theory Of Algebraic Functions Of One Variable Books available in PDF, EPUB, Kindle, Docs and Mobi Format. Download Introduction To The Theory Of Algebraic Functions Of One Variable books,


Some Results In The Theory Of Algebraic Functions Of One Variable

Some Results in the Theory of Algebraic Functions of One Variable PDF
Author: Isabel (Fields) Muhly
Publisher:
ISBN:
Format: PDF, Docs
Pages :
Category :
Languages : en
Size: 29.87 MB
View: 4352

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Some Results In The Theory Of Algebraic Functions Of One Variable

by Isabel (Fields) Muhly, Some Results In The Theory Of Algebraic Functions Of One Variable Books available in PDF, EPUB, Kindle, Docs and Mobi Format. Download Some Results In The Theory Of Algebraic Functions Of One Variable books,


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

On the Foundations of the Theory of Algebraic Functions of One Variable PDF
Author: John Charles Fields
Publisher:
ISBN:
Format: PDF, ePub, Docs
Pages : 35
Category : Algebraic functions
Languages : en
Size: 46.92 MB
View: 2939

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

by John Charles Fields, On The Foundations Of The Theory Of Algebraic Functions Of One Variable Books available in PDF, EPUB, Kindle, Docs and Mobi Format. Download On The Foundations Of The Theory Of Algebraic Functions Of One Variable books,


Theory Of Algebraic Functions Of One Variable

Theory of Algebraic Functions of One Variable PDF
Author: Richard Dedekind
Publisher: American Mathematical Soc.
ISBN: 9780821890349
Format: PDF, Docs
Pages : 152
Category : Mathematics
Languages : en
Size: 62.11 MB
View: 5585

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Theory Of Algebraic Functions Of One Variable

by Richard Dedekind, Theory Of Algebraic Functions Of One Variable Books available in PDF, EPUB, Kindle, Docs and 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.


Modular Functions Of One Variable Iv

Modular Functions of One Variable IV PDF
Author: B.J. Birch
Publisher: Springer
ISBN: 3540375880
Format: PDF, ePub, Docs
Pages : 154
Category : Mathematics
Languages : en
Size: 22.79 MB
View: 3304

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Modular Functions Of One Variable Iv

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


Introduction To The Classical Theory Of Abelian Functions

Introduction to the Classical Theory of Abelian Functions PDF
Author: Alekse_ Ivanovich Markushevich
Publisher: American Mathematical Soc.
ISBN: 9780821898369
Format: PDF
Pages : 175
Category : Functions, Abelian
Languages : en
Size: 77.94 MB
View: 2245

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Introduction To The Classical Theory Of Abelian Functions

by Alekse_ Ivanovich Markushevich, Introduction To The Classical Theory Of Abelian Functions Books available in PDF, EPUB, Kindle, Docs and Mobi Format. Download Introduction To The Classical Theory Of Abelian Functions books, Historical introduction. The Jacobian inversion problem Periodic functions of several complex variables Riemann matrices. Jacobian (intermediate) functions Construction of Jacobian functions of a given type. Theta functions and Abelian functions. Abelian and Picard manifolds Appendix A. Skew-symmetric determinants Appendix B. Divisors of analytic functions Appendix C. A summary of the most important formulas