數(shù)學(xué)指南

內(nèi)容概要

《數(shù)學(xué)指南》編著者Timothy Gowers、June
Barrow-Green、Imre Leader 。
本書是一部所有對數(shù)學(xué)感興趣的人員的參考書籍。書中包括了由世界著名數(shù)學(xué)家專門為本書編寫近200多詞條，這些詞條介紹了基本的數(shù)學(xué)工具和詞匯，追溯現(xiàn)代數(shù)學(xué)起源，解釋了關(guān)鍵性術(shù)語和概念，重申了數(shù)學(xué)重要領(lǐng)域的核心思想，描述了著名數(shù)學(xué)家的貢獻(xiàn)和成就，深層次挖掘了數(shù)學(xué)在生物、金融和音樂等領(lǐng)域的重要影響。本書以如此廣的覆蓋面具有無與倫比的深度，包括了純數(shù)學(xué)領(lǐng)域最活躍和最令人興奮的分支，提供了這個(gè)領(lǐng)域最關(guān)鍵的專業(yè)化知識背景和廣闊前景，用易于接受和理解的方式承載了大量的信息，這些對于數(shù)學(xué)專業(yè)的本科生、研究生、科研人員和學(xué)者了解專業(yè)之外的知識是必不可少的。
目次：導(dǎo)引；現(xiàn)代數(shù)學(xué)起源；數(shù)學(xué)概念；數(shù)學(xué)分支；定理和問題；數(shù)學(xué)家；數(shù)學(xué)的影響；最后展望。
讀者對象：所有對數(shù)學(xué)感興趣的學(xué)生和科研人員。

作者簡介

作者：（美國）格沃斯（Cowers T.）

書籍目錄

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

章節(jié)摘錄

版權(quán)頁：   插圖：   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.

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《數(shù)學(xué)指南(英文)》讀者對象：所有對數(shù)學(xué)感興趣的學(xué)生和科研人員。

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