G. H. Hardy was one of this century's finest mathematical thinkers, renowned among his contemporaries as a 'real mathematician ... the purest of the pure'. He was also, as C. P. Snow recounts in his Foreword, 'unorthodox, eccentric, radical, ready to talk about anything'. This 'apology', written in 1940 as his mathematical powers were declining, offers a brilliant and engaging account of mathematics as very much more than a science; when it was first published, Graham Greene hailed it alongside Henry James's notebooks as 'the best account of what it was like to be a creative artist'. C. P. Snow's Foreword gives sympathetic and witty insights into Hardy's life, with its rich store of anecdotes concerning his collaboration with the brilliant Indian mathematician Ramanujan, his aphorisms and idiosyncrasies, and his passion for cricket. This is a unique account of the fascination of mathematics and of one of its most compelling exponents in modern times.
A Mathematician's Apology is a profoundly sad book, the memoir of a man who has reached the end of his ambition, who can no longer effectively practice the art that has consumed him since he was a boy. But at the same time, it is a joyful celebration of the subject--and a stern lecture to those who would sully it by dilettantism or attempts to make it merely useful. "The mathematician's patterns," G.H. Hardy declares, "like the painter's or the poet's, must be beautiful; the ideas, like the colours or the words, must fit together in a harmonious way. Beauty is the first test: there is no permanent place in the world for ugly mathematics."
Hardy was, in his own words, "for a short time the fifth best pure mathematician in the world" and knew full well that "no mathematician should ever allow himself to forget that mathematics, more than any other art or science, is a young man's game." In a long biographical foreword to Apology, C.P. Snow (now best known for The Two Cultures) offers invaluable background and a context for his friend's occasionally brusque tone: "His life remained the life of a brilliant young man until he was old; so did his spirit: his games, his interests, kept the lightness of a young don's. And, like many men who keep a young man's interests into their sixties, his last years were the darker for it." Reading Snow's recollections of Hardy's Cambridge University years only makes Apology more poignant. Hardy was popular, a terrific conversationalist, and a notoriously good cricket player.
When summer came, it was taken for granted that we should meet at the cricket ground.... He used to walk round the cinderpath with a long, loping, clumping-footed stride (he was a slight spare man, physically active even in his late fifties, still playing real tennis), head down, hair, tie, sweaters, papers all flowing, a figure that caught everyone's eyes. "There goes a Greek poet, I'll be bound," once said some cheerful farmer as Hardy passed the score-board.
G.H. Hardy's elegant 1940 memoir has provided generations of mathematicians with pithy quotes and examples for their office walls, and plenty of inspiration to either be great or find something else to do. He is a worthy mentor, a man who understood deeply and profoundly the rewards and losses of true devotion. --Therese Littleton
我们希望的天才,不仅要聪慧绝顶,脾气也是要好的,谦逊有礼,温文尔雅,怀着不知者无罪的宽容,忍耐着我们的谄媚、无知与嫉妒。可事实恰恰相反,天赋秉异的家伙刻薄起人来,十有八九是哈代的架势,字字句句洗练明晰,流畅自如,挑不出半分差错,可那股嘲弄却从每个字眼儿里钻...
评分 评分这学期上的数学课名字很好听,叫The Art of Mathematical Thinking,是一门连接初等数学和高等数学的桥梁课程,主要用来学习怎么规范地写证明。开学不多久去和教授聊天,得知我准备主修数学和哲学之后给我看了一本小说,第一页的那句话摘自Hardy大叔的这本书,于是顺藤摸瓜从图...
评分我们希望的天才,不仅要聪慧绝顶,脾气也是要好的,谦逊有礼,温文尔雅,怀着不知者无罪的宽容,忍耐着我们的谄媚、无知与嫉妒。可事实恰恰相反,天赋秉异的家伙刻薄起人来,十有八九是哈代的架势,字字句句洗练明晰,流畅自如,挑不出半分差错,可那股嘲弄却从每个字眼儿里钻...
评分读了第二遍并仔细做了笔记,比第一遍读后的理解清晰了许多。 如果十年前读到此书,我的感想一定是“数学家真纯粹啊做研究真高大上啊我也要”,现在我读后的感想是,我不敢说哈代有失偏颇,但是我清楚地知道自己和他意见不同,我也接受这不是一个需要我惊慌失措赶紧校正自己三观...
这就是最好的那种文笔,如数学公式那样简洁优雅,不像小说家那样故作高深用很多生僻的词彰显自己的博学。生词量很少看得很痛快,每次碰到生词都感觉作者不得不精准表达才用的。读后,感觉不仅仅是在探讨数学的意义,更是在探讨我们人生的意义。想起爱因斯坦的话,不是所有能被衡量的都有意义,也不是所有有意义的都可以被衡量。好书,值得反复读。
评分选问题的品味很重要,尤其是当在生活和兴趣之间做trade off的时候,既要兼顾应用,又要深刻
评分看完的第一本全英文书
评分数学家特有的贵族气质
评分没想到在单位图书馆淘汰的书里捡到宝,还是1967年剑桥精装版。
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