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Titlebook: Algebraic Curves and Riemann Surfaces for Undergraduates; The Theory of the Do Anil Nerode,Noam Greenberg Textbook 2022 The Editor(s) (if a

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發(fā)表于 2025-3-21 16:05:38 | 只看該作者 |倒序瀏覽 |閱讀模式
期刊全稱Algebraic Curves and Riemann Surfaces for Undergraduates
期刊簡稱The Theory of the Do
影響因子2023Anil Nerode,Noam Greenberg
視頻videohttp://file.papertrans.cn/153/152571/152571.mp4
發(fā)行地址Assumes only typical undergraduate background in algebra and calculus.Carefully works out the necessary algebra, topology, complex analysis and differential geometry.Includes over 550 exercises
圖書封面Titlebook: Algebraic Curves and Riemann Surfaces for Undergraduates; The Theory of the Do Anil Nerode,Noam Greenberg Textbook 2022 The Editor(s) (if a
影響因子The theory relating algebraic curves and Riemann surfaces exhibits the unity of mathematics: topology, complex analysis, algebra and geometry all interact in a deep way. This textbook offers an elementary introduction to this beautiful theory for an undergraduate audience..?.At the heart of the subject is the theory of elliptic functions and elliptic curves. A complex torus (or “donut”) is both an abelian group and a Riemann surface. It is obtained by identifying points on the complex plane. At the same time, it can be viewed as a complex algebraic curve, with addition of points given by a geometric “chord-and-tangent” method. This book carefully develops all of the tools necessary to make sense of this isomorphism. The exposition is kept as elementary as possible and frequently draws on familiar notions in calculus and algebra to motivate new concepts..?.Based on a capstone course given to senior undergraduates, this book is intended as a textbook for courses at this level and includes a large number of class-tested exercises. The prerequisites for using the book are familiarity with abstract algebra, calculus and analysis, as covered in standard undergraduate courses..
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Algebraic Curves and Riemann Surfaces for UndergraduatesThe Theory of the Do
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Textbook 2022ract in a deep way. This textbook offers an elementary introduction to this beautiful theory for an undergraduate audience..?.At the heart of the subject is the theory of elliptic functions and elliptic curves. A complex torus (or “donut”) is both an abelian group and a Riemann surface. It is obtain
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https://doi.org/10.1007/978-3-031-11616-2algebraic curves; elliptic curves; undergraduate textbook; Riemann surface; elliptic functions; uniformiz
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978-3-031-11615-5The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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