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· 제목 : Algebraic Curves and Riemann Surfaces for Undergraduates: The Theory of the Donut (Paperback, 2022) 
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 기하학 > 대수기하학
· ISBN : 9783031116155
· 쪽수 : 450쪽
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 기하학 > 대수기하학
· ISBN : 9783031116155
· 쪽수 : 450쪽
목차
1 Introduction.- Part I Algebraic curves.- 2 Algebra.- 3 Affine space.- 4 Projective space.- 5 Tangents.- 6 Bezout’s theorem.- 7 The elliptic group.- Part II Riemann Surfaces.- 8 Quasi-Euclidean spaces.- 9 Connectedness, smooth and simple.- 10 Path integrals.- 11 Complex differentiation.- 12 Riemann surfaces.- Part III Curves and surfaces.- 13 Curves are surfaces.- 14 Elliptic functions and the isomorphism theorem.- 15 Puiseux theory.- 16 A brief history of elliptic functions.
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