000			01683 a2200253 4500
999			_c51885 _d51885
008			191219b ||||| |||| 00| 0 eng d
020			_a9780387954325
082			_a516.35 GOL
100			_aGoldschmidt, David M.
245			_aAlgebraic functions and projective curves
260			_bSpringer, _c2003 _aNew York:
300			_axvi, 179p. _bhb; _c24 cm
365			_aEURO _b49.99
440			_aGraduate Texts in Mathematics, 0072-5285; Vol.215
520			_aThis 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.
650			_aMathematics
650			_aNumber Theory
650			_aAlgebraic Geometry
650			_aCurves, Algebraic
650			_aComplex Analysis
650			_aAlgebraic Functions
650			_aGeometry, Algebraic
942			_2ddc _cTD