Lectures on the Theory of Algebraic Functions of One Variable PDF Download
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Author: Max Deuring
Publisher: Springer
ISBN: 3540383689
Category : Mathematics
Languages : en
Pages : 157
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Book Description
Author: Max Deuring
Publisher: Springer
ISBN: 3540383689
Category : Mathematics
Languages : en
Pages : 157
Get Book Here
Book Description
Author: James Pierpont
Publisher:
ISBN:
Category : Calculus
Languages : en
Pages : 594
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Book Description
Author: Gabriel Daniel Villa Salvador
Publisher: Springer Science & Business Media
ISBN: 0817645152
Category : Mathematics
Languages : en
Pages : 658
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Book Description
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.
Author: James Pierpont
Publisher:
ISBN:
Category : Functions of real variables
Languages : en
Pages : 580
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Book Description
Author: Z. Ciesielski
Publisher: Springer
ISBN: 3540375562
Category : Mathematics
Languages : en
Pages : 290
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Book Description
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Author: R. Bulirsch
Publisher: Springer
ISBN: 3540375910
Category : Mathematics
Languages : en
Pages : 304
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Book Description
Author: B.D. Sleeman
Publisher: Springer
ISBN: 3540372644
Category : Mathematics
Languages : en
Pages : 469
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Book Description
Author: Harald Niederreiter
Publisher: Cambridge University Press
ISBN: 9780521665438
Category : Computers
Languages : en
Pages : 260
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Book Description
Ever since the seminal work of Goppa on algebraic-geometry codes, rational points on algebraic curves over finite fields have been an important research topic for algebraic geometers and coding theorists. The focus in this application of algebraic geometry to coding theory is on algebraic curves over finite fields with many rational points (relative to the genus). Recently, the authors discovered another important application of such curves, namely to the construction of low-discrepancy sequences. These sequences are needed for numerical methods in areas as diverse as computational physics and mathematical finance. This has given additional impetus to the theory of, and the search for, algebraic curves over finite fields with many rational points. This book aims to sum up the theoretical work on algebraic curves over finite fields with many rational points and to discuss the applications of such curves to algebraic coding theory and the construction of low-discrepancy sequences.
Author: Moshe Jarden
Publisher: American Mathematical Soc.
ISBN: 1470452073
Category : Education
Languages : en
Pages : 200
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Book Description
This book is a collection of articles on Abelian varieties and number theory dedicated to Gerhard Frey's 75th birthday. It contains original articles by experts in the area of arithmetic and algebraic geometry. The articles cover topics on Abelian varieties and finitely generated Galois groups, ranks of Abelian varieties and Mordell-Lang conjecture, Tate-Shafarevich group and isogeny volcanoes, endomorphisms of superelliptic Jacobians, obstructions to local-global principles over semi-global fields, Drinfeld modular varieties, representations of etale fundamental groups and specialization of algebraic cycles, Deuring's theory of constant reductions, etc. The book will be a valuable resource to graduate students and experts working on Abelian varieties and related areas.
Author: Andrew Russell Forsyth
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 308
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Book Description
