拉马努金笔记(第二卷)

拉马努金笔记(第二卷)
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(第二卷)》作者简介

内容简介

During the years 1903-1914, Ramanujan recorded many of his mathematical discoveries in notebooks without providing proofs. Although many of his results were already in the literature, more were not. Almost a decade after Ramanujan's death in 1920, G. N. Watson and B. M. Wilson began to edit his notebooks, but 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 second of four 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. In this volume, we examine Chapters 10-15 in Ramanujan's second notebook. If a result is known, we provide references in the literature where proofs may be found; if a result is not known, we attempt to prove it. Except in a few instances when Ramanujan's intent is not clear, we have been able to establish each result in these six ...

图书目录

Preface

Introduction

CHAPTER 10

Hypergcometric Series, I

CHAPTER 11

Hypergeometric Series, II

CHAPTER 12

Continued Fractions

CHAPTER 13

Integrals and Asymptotic Expansions

CHAPTER 14

Infinite Series

CHAPTER 15

Asymptotic Expansions and Modular Forms

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

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