標(biāo)題: Titlebook: Algebraic Curves and Riemann Surfaces for Undergraduates; The Theory of the Do Anil Nerode,Noam Greenberg Textbook 2022 The Editor(s) (if a [打印本頁] 作者: Herbaceous 時間: 2025-3-21 16:05
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作者: 樂章 時間: 2025-3-22 00:05 作者: 廢止 時間: 2025-3-22 04:08
Algebraic Curves and Riemann Surfaces for UndergraduatesThe Theory of the Do作者: 飲料 時間: 2025-3-22 08:05 作者: nepotism 時間: 2025-3-22 12:05 作者: CODA 時間: 2025-3-22 14:59 作者: In-Situ 時間: 2025-3-22 20:14 作者: 喚起 時間: 2025-3-23 00:48
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作者: harpsichord 時間: 2025-3-23 04:31
https://doi.org/10.1007/978-3-031-11616-2algebraic curves; elliptic curves; undergraduate textbook; Riemann surface; elliptic functions; uniformiz作者: Cabg318 時間: 2025-3-23 08:59
978-3-031-11615-5The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl作者: 敲詐 時間: 2025-3-23 10:33 作者: 神圣不可 時間: 2025-3-23 15:14
http://image.papertrans.cn/a/image/152571.jpg作者: homeostasis 時間: 2025-3-23 20:47 作者: innovation 時間: 2025-3-24 01:31
Failure Cause Analysis of Machine Toolsmplex algebraic curves. We can then identify branches of a curve at a singular point, allowing us to break up the computation of intersection multiplicity and tangents into understandable building blocks.作者: contradict 時間: 2025-3-24 05:03 作者: 話 時間: 2025-3-24 06:42 作者: V洗浴 時間: 2025-3-24 12:49
Machinability Evaluation of Work Materialse, which is used to parameterise an elliptic curve. The isomorphism theorem states that this gives a group isomorphism between a complex torus and the curve. The inversion theorem says that every elliptic curve can be constructed this way.作者: 敘述 時間: 2025-3-24 15:37 作者: thrombus 時間: 2025-3-24 20:12
Thought and Emotion in Decision Making,An overview of the book, starting with a conic analogue.作者: Overthrow 時間: 2025-3-25 02:03
Group Influence in Soviet Decision Making,A survey of the required algebraic tools, including unique factorisation in polynomial rings, algebraically closed fields, elementary group theory, and linear algebra over integral domains.作者: 壓倒 時間: 2025-3-25 07:04
Decision Making in Soviet PoliticsThe definition and basic properties of algebraic curves in the affine plane, and more generally, algebraic hypersurfaces in affine space. Contains a proof of Study’s lemma, which relates containment of curves to divisibility of their defining polynomials. Introduces the resultant, an important tool of elimination theory.作者: Gesture 時間: 2025-3-25 07:43 作者: hypotension 時間: 2025-3-25 12:53 作者: MEAN 時間: 2025-3-25 19:25 作者: 手榴彈 時間: 2025-3-25 23:59 作者: 行業(yè) 時間: 2025-3-26 03:39
Paul Kalb,Paul E. Greenberg,Crystal T. PikeA review of some basic notions of topology, including completeness and compactness. Manifolds and subspaces of manifolds. Quotients of Euclidean space by discrete subgroups, which include the torus.作者: 白楊魚 時間: 2025-3-26 06:17
Michael W. Bonney,Howard G. BirnbaumDefining the notion of a connected space, path-connected space, path homotopy, and simply connected spaces. The winding number of a path. A review of multivariable calculus, including the inverse function theorem. Path-connected manifolds are differentiably path-connected.作者: Inclement 時間: 2025-3-26 10:08
Michael W. Bonney,Howard G. BirnbaumIntegration of generalised 1-forms. The length of a path. Vector fields; conservative and symmetric vector fields.作者: 分開 時間: 2025-3-26 15:25
Howard G. Birnbaum,Paul E. GreenbergDeveloping the theory of differentiation of functions of a single complex variable, based on integration of real vector fields. Analytic functions; Cauchy’s integral formula; theorems of Morera, Weierstrass, and Liouville.作者: notion 時間: 2025-3-26 20:17 作者: 公共汽車 時間: 2025-3-26 21:31 作者: 奇怪 時間: 2025-3-27 03:35
Failure Cause Analysis of Machine ToolsThis chapter sketches the historical development of elliptic functions.作者: Frisky 時間: 2025-3-27 05:34 作者: nascent 時間: 2025-3-27 10:01 作者: 冥界三河 時間: 2025-3-27 13:36 作者: Regurgitation 時間: 2025-3-27 19:29 作者: 一大群 時間: 2025-3-27 23:14
TangentsTangents of both affine and projective algebraic curves. These are related to multiplicity of intersection of lines with curves, and the notion of singular points, and the order (multiplicity) of a point on a curve.作者: 洞穴 時間: 2025-3-28 03:34
Bézout’s TheoremDefining intersection multiplicity of two curves at a point. Two definitions are given: one is used to show geometric invariance of intersection multiplicity, the other is conceptually simpler. A “categoricity” property of intersection multiplicity is then used for quick computations.作者: impaction 時間: 2025-3-28 09:51
The Elliptic GroupA study of flexes (points of inflection), using the Hessian curve. Defining the group operation on a nonsingular cubic curve, and showing that it is associative. Normal forms for elliptic curves.作者: justify 時間: 2025-3-28 12:10 作者: Synchronism 時間: 2025-3-28 17:12
Connectedness, Smooth and SimpleDefining the notion of a connected space, path-connected space, path homotopy, and simply connected spaces. The winding number of a path. A review of multivariable calculus, including the inverse function theorem. Path-connected manifolds are differentiably path-connected.作者: 拋媚眼 時間: 2025-3-28 22:34
Path IntegralsIntegration of generalised 1-forms. The length of a path. Vector fields; conservative and symmetric vector fields.作者: 宣誓書 時間: 2025-3-29 00:37 作者: Herd-Immunity 時間: 2025-3-29 03:15
Riemann SurfacesDefining holomorphic surfaces; the open mapping theorem; compact Riemann surfaces and degrees of holomorphic maps. The Riemann surfaces for the complex logarithm and roots. Analytic continuation. Differential forms on Riemann surfaces.作者: 調(diào)情 時間: 2025-3-29 10:14
Curves Are SurfacesThe implicit function theorem allows us to define an atlas for a nonsingular complex curve which makes it a Riemann surface. This structure is used to give a topological meaning to intersections with lines.作者: contradict 時間: 2025-3-29 14:59 作者: 摘要 時間: 2025-3-29 19:08
7樓作者: 向外 時間: 2025-3-29 22:19
8樓作者: 并排上下 時間: 2025-3-30 00:51
8樓作者: 思想靈活 時間: 2025-3-30 06:06
8樓作者: isotope 時間: 2025-3-30 09:35
8樓作者: 尖叫 時間: 2025-3-30 12:22
9樓作者: mendacity 時間: 2025-3-30 19:53
9樓作者: Antagonism 時間: 2025-3-30 20:44
9樓作者: 凝乳 時間: 2025-3-31 01:06
10樓作者: 猛然一拉 時間: 2025-3-31 08:46
10樓作者: VALID 時間: 2025-3-31 09:41
10樓作者: POINT 時間: 2025-3-31 16:37
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