Lectures On The Theory Of Algebraic Functions Of One Variable
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Lectures on the Theory of Algebraic Functions of One Variable
Author | : Max Deuring |
Publsiher | : Springer |
Total Pages | : 157 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 9783540383680 |
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Introduction to the Theory of Algebraic Functions of One Variable
Author | : Claude Chevalley |
Publsiher | : American Mathematical Soc. |
Total Pages | : 204 |
Release | : 1951-12-31 |
Genre | : Mathematics |
ISBN | : 9780821815069 |
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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 Introductory to the Theory of Functions of Two Complex Variables Delivered to the University of Calcutta During January and February 1913
Author | : Andrew Russell Forsyth |
Publsiher | : CUP Archive |
Total Pages | : 308 |
Release | : 1914 |
Genre | : Functions of complex variables |
ISBN | : 9182736450XXX |
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Theory of Algebraic Functions of One Variable
![Theory of Algebraic Functions of One Variable](https://youbookinc.com/wp-content/uploads/2024/06/cover.jpg)
Author | : Richard Dedekind |
Publsiher | : Unknown |
Total Pages | : 152 |
Release | : 2012 |
Genre | : Algebraic functions |
ISBN | : 0821890336 |
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Lectures on the Theory of Functions of Real Variables
Author | : James Pierpont |
Publsiher | : Unknown |
Total Pages | : 674 |
Release | : 1912 |
Genre | : Calculus |
ISBN | : UOM:39015000977614 |
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Topics in the Theory of Algebraic Function Fields
Author | : Gabriel Daniel Villa Salvador |
Publsiher | : Springer Science & Business Media |
Total Pages | : 658 |
Release | : 2007-10-10 |
Genre | : Mathematics |
ISBN | : 9780817645151 |
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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.
Lectures on the Theory of Functions of Real Variables Rational numbers
Author | : James Pierpont |
Publsiher | : Unknown |
Total Pages | : 588 |
Release | : 1906 |
Genre | : Functions of real variables |
ISBN | : UCAL:B4062558 |
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Algebraic Functions and Projective Curves
Author | : David Goldschmidt |
Publsiher | : Springer Science & Business Media |
Total Pages | : 195 |
Release | : 2006-04-06 |
Genre | : Mathematics |
ISBN | : 9780387224459 |
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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.