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
第一次i听说Hardy的这本书是在Du Sautoy的Finding Moonshine。在介绍反证法的时候,Du Sautoy引用Hardy对比数学和象棋技巧的一句话,“It is a far finer gambit than any chess gambit: a chess player may offer the sacrifice of a pawn or even a piece, but a mathematici...
评分想看此书的读者最好作如下两个选择:1。看原版(湖南科学技术出版社有,不过那书把目录里的序言作者名字写错了,唉……),体会一下HARDY的英文水平;2。看李文林教授的翻译版本(有个出版社出了系列的数学大家文选),脱离数学大环境单纯阅读文本有些味道就体会不出来了。 ...
评分英国大数学家哈代(Godfrey Harold Hardy)写过一本叫《一个数学家的辩白》(A Mathematician's Apology)的小书,至今亦广为流传,可惜我孤陋寡闻,上了大学才知道:那时刚上大学,喜欢吹水的小舟老师经常会在课堂上大谈数学的好处以及他的个人经历,这就正如哈代在书中所说的...
评分想看此书的读者最好作如下两个选择:1。看原版(湖南科学技术出版社有,不过那书把目录里的序言作者名字写错了,唉……),体会一下HARDY的英文水平;2。看李文林教授的翻译版本(有个出版社出了系列的数学大家文选),脱离数学大环境单纯阅读文本有些味道就体会不出来了。 ...
评分第一次i听说Hardy的这本书是在Du Sautoy的Finding Moonshine。在介绍反证法的时候,Du Sautoy引用Hardy对比数学和象棋技巧的一句话,“It is a far finer gambit than any chess gambit: a chess player may offer the sacrifice of a pawn or even a piece, but a mathematici...
悲观地辩护着数学的“纯粹美”。为了降低“花甲Hardy”消极情绪的负面影响,务必与Wiener,“I Am a Mathematician”,和Halmos," I want to be a mathematician"一并依次阅读,喜感将逐步上升——不伤身,不伤神。(Btw, Snow的序言很八卦很有趣)
评分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。
评分悲观地辩护着数学的“纯粹美”。为了降低“花甲Hardy”消极情绪的负面影响,务必与Wiener,“I Am a Mathematician”,和Halmos," I want to be a mathematician"一并依次阅读,喜感将逐步上升——不伤身,不伤神。(Btw, Snow的序言很八卦很有趣)
评分哈代好自负
评分"the noblest ambition is that of leaving behind something of permanent value", that something could be of many forms-ideas, views, other aspects of welfare that can make generations after generations better.
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