扫一扫
关注中图网
官方微博
本类五星书更多>
-
>
宇宙、量子和人类心灵
-
>
(精)BBC地球故事系列-星际旅行
-
>
从一到无穷大
-
>
图说相对论(32开平装)
-
>
一本有趣又有料的化学书
-
>
刘薰宇的数学三书:原来数学可以这样学全3册
-
>
光学零件制造工艺学
国外很好数学著作原版系列拉马努金笔记(第5卷) 版权信息
- ISBN:9787560381411
- 条形码:9787560381411 ; 978-7-5603-8141-1
- 装帧:平装-胶订
- 册数:暂无
- 重量:暂无
- 所属分类:>>
国外很好数学著作原版系列拉马努金笔记(第5卷) 内容简介
印度神奇数学家拉马努金有着深邃的数学直觉和洞察力,这套丛书给出了拉马努金很多漂亮的数学结果,共分为5卷。本书为第5卷,主要介绍了数论、素数的拉马努金理论、模方程的函数、双纽线与联合方程的逆公式等内容。本书适合高年级本科生、研究生,以及数学爱好者参考阅读。
国外很好数学著作原版系列拉马努金笔记(第5卷) 目录
Preface
Introduction
32 Continued Fractions
1 The Rogers-Ramanujan Continued Fraction
2 Other q-Continued Fractions
3 Continued Fractions Arising from Products of Gamma
Functions
4 Other Continued Fractions
5 General Theorems
33 Ramanuian's Theories of Elliptic Functions to Alternative
Bases
Introduction Ramanujans Cubic Transformation, the borweins' Cubic
Theta-Function Identity, and the Inversion Formula 3 The Principles of Triplication and Trimidiation
4 The Eisenstein Series L.M. and N
5 A Hypergeometric Transformation and Associated Transfer
Principle
6 More Higher Order Transformations for Hypergeometric
Series
7 Modular Equations in the Theory of Signature 3
8 The Inversion of an Analogue of k(k) in Signature 3
9 The Theory for Signature 4
10 Modular Equations in the Theory of Signature 4
11 The Theory for Signature 6
12 An Identity from the First Notebook and Further Hypergeometric Transformations
13 Some Enigmatic Formulas Near the End of the Third
Notebook
14 Concluding Remarks
34 Class Invariants and Singular Moduli
1 Introduction
2 Table of Class Invariants
3 Computation of Gn and gn when 9)n
4 Kronecker's Limit Formula and General Formulas for Class
Invariants
5 Class Invariants Via Kronecker's Limit Formula
6 Class Invariants Via Modular Equations
7 Class Invariants Via Class Field Theory
8 Miscellaneous results
9 Singular moduli
10 A Certain Rational Function of Singular Moduli
11 The Modular j-invariant
35 Values of Theta-Functions
Introduction Elementary values Nonelementary Values of p(e-n)
3 A Remarkable Product of Theta-Functions
36 Modular Equations and Theta-Function Identities in
Notebook 1
1 Modular Equations of degree 3 and Related Theta-Function
Identities
2 Modular Equations of Degree 5 and Related Theta-Function
Identities
3 Other Modular Equations and Related Theta-Function
Identities
4 Identities Involving Lambert Series
5 Identities Involving Eisenstein Series
6 Modular Equations in the Form of Schlafli
7 Modular Equations in the Form of Russell
8 Modular Equations in the Form of Weber
9 Series Transformations Associated with Theta-Functions
10 Miscellaneous Results
37 Infinite Series
38 Approximations and Asymptotic Expa
39 Miscellaneous Results in the First Notebook
Location of Entries in the Unorganized Portions of Ramanujan's
First Notebook
References
lIndex
附录I
拉马努金的中国知音:数学家刘治国的“西天取经”之旅
附录Ⅱ
刘治国教授访谈
编辑手记
展开全部
书友推荐
- >
史学评论
史学评论
¥13.9¥42.0 - >
苦雨斋序跋文-周作人自编集
苦雨斋序跋文-周作人自编集
¥6.9¥16.0 - >
推拿
推拿
¥12.2¥32.0 - >
伯纳黛特,你要去哪(2021新版)
伯纳黛特,你要去哪(2021新版)
¥15.9¥49.8 - >
大红狗在马戏团-大红狗克里弗-助人
大红狗在马戏团-大红狗克里弗-助人
¥3.3¥10.0 - >
朝闻道
朝闻道
¥10.2¥23.8 - >
回忆爱玛侬
回忆爱玛侬
¥10.5¥32.8 - >
我与地坛
我与地坛
¥16.8¥28.0
本类畅销
-
时间简史-普及版
¥16.3¥38 -
严士健谈数学教育
¥8.5¥25 -
分割与积累
¥10.8¥25 -
统计学七支柱
¥27.3¥39 -
2022图书×抽奖盲袋
¥9.9¥25 -
2023读书月阅读盲盒——天黑,闭眼,刀谁?
¥42.3¥158