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- catalog abstract "This book provides a self-contained exposition of the theory of algebraic curves without requiring any of the prerequisites of modern algebraic geometry. The self-contained treatment makes this important and mathematically central subject accessible to non-specialists. At the same time, specialists in the field may be interested to discover several unusual topics. Among these are Tates theory of residues, higher derivatives and Weierstrass points in characteristic p, the Stöhr--Voloch proof of the Riemann hypothesis, and a treatment of inseparable residue field extensions. Although the exposition is based on the theory of function fields in one variable, the book is unusual in that it also covers projective curves, including singularities and a section on plane curves. David Goldschmidt has served as the Director of the Center for Communications Research since 1991. Prior to that he was Professor of Mathematics at the University of California, Berkeley.".
- catalog contributor b12613663.
- catalog created "c2003.".
- catalog date "2003".
- catalog date "c2003.".
- catalog dateCopyrighted "c2003.".
- catalog description "Includes bibliographical references (p. [175]-176) and index.".
- catalog description "Preface -- Introduction -- Background -- Function Fields -- Finite Extensions -- Projective Curves -- Zeta Functions -- Appendix: Field Extensions -- Bibliography -- Index.".
- catalog description "This book provides a self-contained exposition of the theory of algebraic curves without requiring any of the prerequisites of modern algebraic geometry. The self-contained treatment makes this important and mathematically central subject accessible to non-specialists. At the same time, specialists in the field may be interested to discover several unusual topics. Among these are Tates theory of residues, higher derivatives and Weierstrass points in characteristic p, the Stöhr--Voloch proof of the Riemann hypothesis, and a treatment of inseparable residue field extensions. Although the exposition is based on the theory of function fields in one variable, the book is unusual in that it also covers projective curves, including singularities and a section on plane curves. David Goldschmidt has served as the Director of the Center for Communications Research since 1991. Prior to that he was Professor of Mathematics at the University of California, Berkeley.".
- catalog extent "xvi, 179 p. ;".
- catalog identifier "0387954325 (alk. paper)".
- catalog isPartOf "Graduate texts in mathematics ; 215".
- catalog issued "2003".
- catalog issued "c2003.".
- catalog language "eng".
- catalog publisher "New York : Springer,".
- catalog subject "515.9 21".
- catalog subject "Algebraic functions.".
- catalog subject "Curves, Algebraic.".
- catalog subject "Geometry, algebraic.".
- catalog subject "Mathematics.".
- catalog subject "Number theory.".
- catalog subject "QA341 .G58 2003".
- catalog tableOfContents "Preface -- Introduction -- Background -- Function Fields -- Finite Extensions -- Projective Curves -- Zeta Functions -- Appendix: Field Extensions -- Bibliography -- Index.".
- catalog title "Algebraic functions and projective curves / David M. Goldschmidt.".
- catalog type "text".