Algebraic Function

Semi-algebraic Function Rings and Reflectors of Partially Ordered Rings (Lecture Notes in Mathematics 1712) by Niels Schwartz

Semi-algebraic Function Rings and Reflectors of Partially Ordered Rings (Lecture Notes in Mathematics 1712) by Niels Schwartz
Springer; 1999 edition | October 19, 1999 | English | ISBN: 3540664602 | 275 pages | PDF | 13 MB

The book lays algebraic foundations for real geometry through a systematic investigation of partially ordered rings of semi-algebraic functions. Real spectra serve as primary geometric objects, the maps between them are determined by rings of functions associated with the spectra. The many different possible choices for these rings of functions are studied via reflections of partially ordered rings. Readers should feel comfortable using basic algebraic and categorical concepts. As motivational background some familiarity with real geometry will be helpful.

Topics in the Theory of Algebraic Function Fields  

Posted by ChrisRedfield at Sept. 25, 2014
Topics in the Theory of Algebraic Function Fields

Gabriel Daniel Villa Salvador - Topics in the Theory of Algebraic Function Fields
Published: 2006-08-11 | ISBN: 0817644806 | PDF | 652 pages | 3 MB

Algebraic Function Fields and Code [Repost]  

Posted by ChrisRedfield at July 16, 2014
Algebraic Function Fields and Code [Repost]

Henning Stichtenoth - Algebraic Function Fields and Code
Published: 2008-11-20 | ISBN: 3540768777, 3642095569 | PDF | 355 pages | 3 MB

Algebraic Function Fields and Codes (repost)  

Posted by arundhati at Feb. 8, 2014
Algebraic Function Fields and Codes (repost)

Henning Stichtenoth, "Algebraic Function Fields and Codes"
2009 | ISBN: 3540768777 | 355 pages | PDF | 6 MB
Claude Chevalley, Introduction to the Theory of Algebraic Functions of One Variable Mathematical Surveys Number VI

Claude Chevalley, Introduction to the Theory of Algebraic Functions of One Variable Mathematical Surveys Number VI
ASIN: B000UG78JA | edition 1951 | DJVU | 196 pages | 9 mb

An algebraic function Сѓ of a complex variable ? is a function which satisfies an equation of the form F(x, y) = 0, where F is a polynomial with complex coefficients; i.e., Сѓ is a root of an algebraic equation whose coefficients are rational functions of x….
Topics in Geometry, Coding Theory and Cryptography (Algebra and Applications) by Arnaldo Garcia [Repost]

Topics in Geometry, Coding Theory and Cryptography (Algebra and Applications) by Arnaldo Garcia
English | Nov 10, 2006 | ISBN: 1402053339 | 210 Pages | PDF | 3 MB

The theory of algebraic function fields over finite fields has its origins in number theory. However, after Goppa`s discovery of algebraic geometry codes around 1980, many applications of function fields were found in different areas of mathematics and information theory.
Cohomological Theory of Crystals over Function Fields (Ems Tracts in Mathematics)

Cohomological Theory of Crystals over Function Fields (Ems Tracts in Mathematics) by Gebhard Bockle and Richard Pink
European Mathematical Society | October 15, 2009 | English | ISBN: 3037190744 | 195 pages | PDF | 2 MB

This book develops a new cohomological theory for schemes in positive characteristic $p$ and it applies this theory to give a purely algebraic proof of a conjecture of Goss on the rationality of certain $L$-functions arising in the arithmetic of function fields.
Selected Preserver Problems on Algebraic Structures of Linear Operators and on Function Spaces (repost)

Selected Preserver Problems on Algebraic Structures of Linear Operators and on Function Spaces by L. Molnár
English | 2006-11-16 | ISBN: 3540399445 | 243 pages | PDF | 2,8 mb

The territory of preserver problems has grown continuously within linear analysis. This book presents a cross-section of the modern theory of preservers on infinite dimensional spaces (operator spaces and function spaces) through the author's corresponding results.
Function Algebras on Finite Sets: Basic Course on Many-Valued Logic and Clone Theory

Function Algebras on Finite Sets: Basic Course on Many-Valued Logic and Clone Theory (Springer Monographs in Mathematics) by Dietlinde Lau
Springer; 2006 edition | September 15, 2006 | English | ISBN: 3540360220 | 670 pages | PDF | 4 MB

Function Algebras on Finite Sets gives a broad introduction to the subject, leading up to the cutting edge of research. The general concepts of the Universal Algebra are given in the first part of the book, to familiarize the reader from the very beginning on with the algebraic side of function algebras. The second part covers the following topics: Galois-connection between function algebras and relation algebras, completeness criterions, and clone theory.
Differential Function Fields and Moduli of Algebraic Varieties

Alexandru Buium, "Differential Function Fields and Moduli of Algebraic Varieties"
English | 1986 | ISBN: 3540171940 | PDF | pages: 158 | 3,5 mb