暂缺简介...

Ramanujan's notebooks were compiled approximately in the years 1903-1914， prior to his departure for England. After Ramanujan's death in 1920， many mathematicians， including G. H. Hardy， strongly urged that Ramanujan's notebooks be edited and published. In fact， original plans called for the publislung of the notebooks along with Ramanujan's Collected Papers in 1927， but financial considerations prevented this. In 1929， G. N. Watson and B. M. Wilson began the editing of the notebooks， but the task was never completed. Finally， in 1957 an unedited photostat edition of Ramanujan's notebooks was published.This volume is the first of three volumes devoted to the editing of Ramanujan's notebooks. Many of the results found herein are very well known， but many are new. Some results are rather easy to prove， but others are established only with great difficulty. A glance at the contents indicates a wide diversity of topics examined by Ramanujan. Our goal has been to prove each of Ramanujan's theorems. However， for results that are lcnown， we generally refer to the literature where proofs may be found.We hope that this volume and succeeding volumes will further enhance the reputation of Srinivasa Ramanujan， one of the truly great figures in the history of mathematics. In particular， Ramanujan's notebooks contain new， interesting， and profound theorems that deserve the attention of the mathematical public.

During the years 1903-1914， Ramanujan recorded most of his mathematical discoveries without proofs in notebooks. 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 third offive 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 Ramanujan's second notebook. In this volume， we examine Chapters 16-21 in the second notebook. For many of the results that are known， we provide references in the literature where proofs may be found. Otherwise， we give complete proofs. Most of the theorems in these six chapters have not previously been proved in print. Parts IV and V will contain accounts of the 100 pages of unorganized material at the end of the second notebook， the tlurty-three pages of unorganized results comprising the third notebook， and those results in the first notebook not recorded by Ramanujan in the second or third notebooks. The second notebook is chiefly a much enlarged and somewhat more organized edition of the first notebook.

暂缺简介...

本书精选了多道竞赛试题并给予详细分析介绍，阐述其潜在的本质内涵，揭示其命制规律和解法思想，进一步挖掘出相关题目的系列问题以及解法的形成过程，为发现问题及其解法打开学习之门 本书适合高中学生、大学师范生、中学数学教师阅读.

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 chapters.Chapters 10-15 are among the most interesting chapters in the notebooks. Not only are the results fascinating， but for the most part， Ramanujan's methods remain a mystery. Much work still needs to be done. We hope readers will strive to discover Ramanujan's thoughts and further develop his beautiful ideas.

为了满足2020年硕士研究生入学考试的广大备考生的迫切要求，我们重新编写修订了这本《俄语历届考研真题详解》。《傅立叶级数和边值问题（第8版）》对2011-2018年共八套考研真题作了详解。具体作法是：1.阅读理解：短文及提问均全文给出译文，对每个文后问题从答题要领上作了扼要分析并说明了答案选择的依据，必要时对容易选错的地方也作了讲解。但从2013年起，考虑到此项解说的实际效果，2013年后的阅读理解测试题不再解说，只全文翻译，并给出答案。2.词汇语法.每个句子均给出译文，有的先从正确答案进行分析，然后对比不适合本句的答案并说明其为什么不符合题意，有的则采用排除法，先从语法或语义上一步步排除不符合题意的词，*后得出正确答案。其中特别注意指出答案正确与否的原因所在，以使备考生在遇到类似问题时可以比照作出判断。3.翻译，只给出全文译文。4.写文：考虑到分析原题并给出范文意义不大，故此项从略，建议参考《大学俄语写作精要》（修订本）。目录

数学和诗歌各有各的天地，但它们都要求抽象、创新和想象，因而诗歌与数学是高维联通的。作者爱读诗、好写诗，乐享诗，常常用数学的眼光去赏诗，有不少独到的见解与心得。在本书中，她将带领读者用数学思维和方法重新认识诗歌，发现诗歌的别样美丽；与此同时，从诗歌的角度欣赏数学，给人以丰富的数学形象和知识启迪，激发读者对数学的兴趣。

这里有100道趣题，都被写成“到底是谁干的”之类的短小谜案。每道趣题提供了若干线索，你可以根据这些线索，在一些不同的对象中找出哪一个才是我们的目标。

本书为一册针对8—12岁孩子的科普图书，归于“厉害坏了的科学书“系列。在书中，作者为读者讲述了各种有趣数学知识，从令人惊叹的图形到了不起的数学理论，以及自然世界中种种数字的发展。通过阅读本书，读者们会发现数学原来这么有趣！本书是青少年学习数学的基础读物，不仅能够趣味的认识很多数学知识，还将生活中遇到的数学问题有趣的解释出来。在学习趣味数学知识的同时，培养读者的发散思维和创新能力。