数学指南

出版时间：2013-1  出版社：世界图书出版公司  作者：Timothy Gowers,June Barrow-Green,Imre Leader  页数：1034  
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内容概要

《数学指南》编著者Timothy Gowers、June
Barrow-Green、Imre Leader 。
本书是一部所有对数学感兴趣的人员的参考书籍。书中包括了由世界著名数学家专门为本书编写近200多词条，这些词条介绍了基本的数学工具和词汇，追溯现代数学起源，解释了关键性术语和概念，重申了数学重要领域的核心思想，描述了著名数学家的贡献和成就，深层次挖掘了数学在生物、金融和音乐等领域的重要影响。本书以如此广的覆盖面具有无与伦比的深度，包括了纯数学领域最活跃和最令人兴奋的分支，提供了这个领域最关键的专业化知识背景和广阔前景，用易于接受和理解的方式承载了大量的信息，这些对于数学专业的本科生、研究生、科研人员和学者了解专业之外的知识是必不可少的。
目次：导引；现代数学起源；数学概念；数学分支；定理和问题；数学家；数学的影响；最后展望。
读者对象：所有对数学感兴趣的学生和科研人员。

作者简介

作者：（美国）格沃斯（Cowers T.）

书籍目录

Preface
Contributo
Part Ⅰ Introduction
Part ⅡThe Origi of Modern Mathematics
Part Ⅲ MathemaUcal Concepts
Part Ⅳ Branches of Mathematics
Part Ⅴ Theorems and Problems
part Ⅵ Mathematicia
Part Ⅶ The Influence of Mathematics
Part Ⅷ Final Pepectives

章节摘录

版权页：   插图：   1 Introduction It is a remarkable phenomenon that children can learn to speak without ever being consciously aware of the sophisticated grammar they are using.Indeed,adults too can live a perfectly satisfactory life without ever thinking about ideas such as parts of speech,subjects,predicates,or subordinate clauses.Both children and adults can easily recognize ungrammatical sentences,at least if the mistake is not too subtle,and to do this it is not necessary to be able to explain the rules thathave been violated.Nevertheless,there is no doubt that one's understanding of language is hugely enhanced by a knowledge of basic grammar,and this understanding is essential for anybody who wants to do more with language than use it unreflectingly as a means to a nonlinguistic end. The same is true of mathematical language.Up to a point,one can do and speak mathematics without knowing how to classify the different sorts of words one is using,but many of the sentences of advanced mathematics have a complicated structure that is much easier to understand if one knows a few basic terms of mathematical grammar.The object of this section is to explain the most important mathematical "parts of speech," some of which are similar to those of natural languages and others quite different.These are normally taught right at the beginning of a university course in mathematics.Much of The Companion can be understood without a precise knowledge of mathematical grammar,but a careful reading of this article will help the reader who wishes to follow some of the later,more advanced parts of the book. The main reason for using mathematical grammar is that the statements of mathematics are supposed to be completely precise,and it is not possible to achieve complete precision unless the language one uses is free of many of the vaguenesses and ambiguities of ordinary speech.Mathemalcal sentences can also be highly cornpie.x: if the parts that made them up were not clear and simple,then the unclarities would rapidly accumulate and render the sentences unintelligible.

编辑推荐

《数学指南(英文)》读者对象：所有对数学感兴趣的学生和科研人员。

用户评论 (总计7条)

•   数学是自然科学的女王，但是很多人不理解数学，甚至有人说取消数学，这只能说你对数学还缺乏了解。这本书就能弥补之一缺憾，本书的作者是菲尔兹奖得主高尔斯的，众所周知菲尔兹奖是国家数学家大会上办法的，没4年一次，其获奖难度超过诺贝尔奖，这样的作者写的书怎能不读。这是一本纵览全局的图书，相当于一本百科辞典，但又不完全是，这本书不是面面俱到，而是有所侧重，读者在读时会感觉到，总体来说，这本书强带了当前数学的主流。
•   但是全英文，死啦厚。各种看不完
•   很不好很不好！
  侧面竟然开裂11！
  虽然无损内容，但这种书本身买来就是收藏用的！
•   从实用角度去考察这类书，这种行为本身就是不“实用”的。这样的书对于提高一个人的数学素养和见识很有帮助，而不是让你从中真的掌握什么技术或查询什么公式。书的印刷质量还行，但太厚了，胶装有裂脊的风险。运输包装不行，书角已有折损。amazon你们在盒子里哪怕放两张废报纸来填充就这么难么？
•   洋洋洒洒一大本书，观赏性很强，实用性很差。中间有几个大牛对于年轻数学家的建议，可以一看。其他的，只能随便翻翻了。这已经不是一个万金油的时代了。出一本所谓的“全集”已经太勉强了。
•   书虽厚 但许多内容是一些基础的数学概念（如数 函数）及数学家传记等主要内容在三四五部分质量参差不齐 少部分文章写得不错 很详细而有启发性 这也是我没有给一星的原因大部分文章都很一般 比如贝叶斯定理 伽罗瓦群 范畴论等 写得很粗浅 个人认为还不如维基百科另外网上可以找到电子版 比如在爱问共享资料 绝对是正版电子书 有目录 可以复制文字的 不是扫描的 我只是因为搞活动才买的……
•   没看什么，但是一百来块钱1千页，每页也就1毛钱～