内容简介

The aim of this book is to explain, carefully but not technically, the differences between advanced, research-level mathematics, and the sort of mathematics we learn at school. The most fundamental differences are philosophical, and readers of this book will emerge with a clearer understanding of paradoxical-sounding concepts such as infinity, curved space, and imaginary numbers. The first few chapters are about general aspects of mathematical thought. These are followed by discussions of more specific topics, and the book closes with a chapter answering common sociological questions about the mathematical community (such as "Is it true that mathematicians burn out at the age of 25?")


Timothy Gowers, Rouse Ball Professor of Mathematics, Cambridge University

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豆瓣评论

  • Pelican’t
    突然想起我也看过这本,当时(作为一个数学渣)看到关于“抽象”的部分还觉得特受启发,怎么居然给忘了…2017-11-18
  • jooey
    数学就是要抽象的想问题,不问存在不存在,而问能干什么... ... 让哲学去头疼吧!数学家们,尤其是超级数学家们,一言不合就改题,改完了就是一片新天地~~看见非整数维度还是蛮惊讶的,其他多多少少略微看过2020-01-29
  • Llewsniav
    Gowers辛苦了,菲尔兹奖得主用这么浅显易懂的方式讲解数学的初级知识,开始还涉及了组合数学方向,第二章开始就回归小学水平探寻数学本质,虽然简单,但是英文版还是很有助益的,并且整本书都很重视数学思想和抽象思维的挖掘与培养,严谨庄重,凝练到位。2016-02-23

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