| Document Type
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BL
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| Record Number
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700593
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| Doc. No
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b522782
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| Uniform Title
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Introducción a la teoría de las funciones algebraicas.English
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| Main Entry
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Villa Salvador, Gabriel Daniel
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| Title & Author
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Topics in the theory of algebraic function fields /\ Gabriel Daniel Villa Salvador
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| Publication Statement
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Boston ;Berlin :: Birkhäuser,, 2006
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| Series Statement
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Mathematics : theory & applications
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| Page. NO
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xvi, 652 pages :: illustrations ;; 24 cm
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| ISBN
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0817644806
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: 9780817644802
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| Notes
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Textbook for graduates
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| Bibliographies/Indexes
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Includes bibliographical references (pages [639]-646) and index
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| Contents
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Preface.- Algebraic and Numerical Antecedents.- Algebraic Function Fields of One Variable.- The Riemann-Roch Theorem.- Examples.- Extensions and Galois Theory.- Congruence Function Fields.- The Riemann Hypothesis.- Constant and Separable Extensions.- The Riemann-Hurwitz Formula.- Cryptography and Function Fields.- Introduction to Class Field Theory.- Cyclotomic Function Fields.- Drinfeld Modules.- Automorphisms and Galois Theory.- Appendix A: Cohomology of Groups.- Notations.- References.- Index
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| Abstract
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Presents an examination that explains both the similarities and fundamental differences between function fields and number fields, including many exercises and examples. This book serves as a text for a graduate course in number theory or an advanced graduate topics course
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| Subject
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Algebraic functions
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| Subject
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Functions
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| Subject
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Mathematics
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