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【正版现货闪电发货】椭圆模函数理论讲义英文版全2卷 [德]克莱因高等教育出版社函数论数学 2本套 @

9787040478372

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出版社本社

ISBN9787040478372

出版时间2023-02

装帧平装

货号622305742608

上书时间2024-11-30

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商品描述: 基本信息书名椭圆模函数理论讲义第一卷外文书名出版社高等教育出版社作者克莱因定价 168.00元出版时间 2017.10 I S B N 9787040478723 套装书否重量 KG 装帧平装版次 1 字数配套资源页数 639 开本 16开内容简介椭圆模函数理论讲义第一卷 (Lectures on the Theory of Elliptic Modular Functions， First Volu 目录 Part I Introduction to the Study of the EllipticModular Functions 1 On the invariants of the binary biquadratic form 1.1 The form f (z1， z2) and its irrational invariants 1.2 The irrational invariants A，B，C of the form f 1.3 Behavior of the A，B，C upon varying the sequence of factors of f 1.4 Equivalence of two forms with the same sequence of factors. First canonical formof f 1.5 The equivalence of a form f with itself 1.6 The equivalence of two formswith arbitrary factor sequence 1.7 The rational invariants of the form f 1.8 The rational invariants in explicit form 1.9 The invariants g2， g3 and the absolute invariant J 1.10 The second canonical formof f 1.11 Geometrical observations on the second canonical form 1.12 Third conical formof f 1.13 More on the third canonical form. Connection to the theory of the regular solids 1.14 Normal forms of the elliptic integral of the first kind 1.15 Naming the normal forms.History 2 On the periods of the elliptic integral of the first kind 2.1 Pairs of primitive periods of the integral of the first kind 2.2 The periods as invariants. Dependency on the rational invariants. Normalization of the periods 2.3 Setting up the differential equation for the normalized periods 2.4 Fundamental theorems concerning the dependency of the normalized periods on J 2.5 Choice of a special primitive period-pair 2.6 Dissection of the J-plane. Significance of the determinations of the previous paragraph 2.7 Approach to t 基本信息书名椭圆模函数理论讲义第二卷外文书名出版社高等教育出版社