From the renowned mathematician and writer Ian Stewart, an insightful and lively exploration of why mathematics matters
The first scientific entry in the acclaimed Art of Mentoring series from Basic Books, Letters to a Young Mathematician tells readers what Ian Stewart wishes he had known when he was a student and young faculty member. Subjects ranging from the philosophical to the practical--what mathematics is and why it's worth doing, the relationship between logic and proof, the role of beauty in mathematical thinking, the future of mathematics, how to deal with the peculiarities of the mathematical community, and many others--are dealt with in Stewart's much-admired style, which combines subtle, easygoing humor with a talent for cutting to the heart of the matter. In the tradition of G.H. Hardy's classic A Mathematician's Apology, this book is sure to be a perennial favorite with students at all levels, as well as with other readers who are curious about the frequently incomprehensible world of mathematics.
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伊恩·史都华 华威大学(WarwickUniversity)数学教授,英国皇家学会院士,国际知名数学科普作家。他发表过一百四十多篇研究论文,而且获奖无数,他不仅影响数学领域本身,也致力于大众对数学的理解,以及其他相关科学范畴。其作品包括《上帝掷骰子吗?》(Does God Play Dice?)、《自然之数》(Nature's Numbers)、《对称的历史》(Why Beauty is True: AHistory of symmetry)等。
李隆生 台湾大学物理学学士、美国密歇根州立大学物理学博士、康奈尔大学经济学博士,现任台湾静宜大学国际企业学系教授,兼任系主任。
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证明是一个数学家告诉另一个数学家的故事,这个故事以他们之间的共同语言来表达。这个故事有一个开始(假说)和结束(结论),但若存在任何逻辑上的错误,则此故事将立即以失败收场。
另一个笑话讽刺证明的逻辑:“定理:一只猫有九条尾巴。证明:没有猫的尾巴是八条,所以一只猫比起没有猫多出一条尾巴。故得证。”
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