拉马努金笔记(第四卷)

拉马努金笔记(第四卷)
作 者: 布鲁斯 伯恩特
出版社: 哈尔滨工业大学出版社
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作者简介

暂缺《拉马努金笔记(第四卷)》作者简介

内容简介

During the years 1903-1914, Ramanujan recorded most of his mathematical discoveries without proofs in notebooks. Although many of his results were already found in the literature, most were not. Almost a decade after Ramanujan's death in 1920, G. N. Watson and B. M. Wilson began to edit Ramanujan's notebooks, but they never completed the task. A photostat edition, with no editing, was published by the Tata Institute of Fundamental Research in Bombay in 1957.This book is the fourth of five volumes devoted to the editing of Ramanujan's notebooks. Part I, published in 1985, contains an account of Chapters 1-9 in the second notebook as well as a description of Ramanujan's quarterly reports. Part II, published in 1989, comprises accounts of Chapters 10-15 in the second notebook. Part III, published in 1991, provides an account of Chapters 16-21 in the second notebook. This is the first of two volumes devoted to proving the results found in the unorganized portions of the second notebook and in the tlurd notebo...

图书目录

Preface

Introduction

CHAPTER 22

Elementary Results

CHAPTER 23

Number Theory

CHAPTER 24

Ramanujan's Theory of Prime Numbers

CHAPTER 25

Theta-Functions and Modular Equations

CHAPTER 26

Inversion Formulas for the Lemniscate and Allied Functions

CHAPTER 27

q-Series

CHAPTER 28

Integrals

CHAPTER 29

Special Functions

CHAPTER 30

Partial Fraction Expansions

CHAPTER 31

Elementary and Miscellaneous Analysis

Location in Notebook 2 of the Material in the 16 Chapters of

Notebook 1

References

Index

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