STEVEN STROGATZ is the Jacob Gould Schurman Professor of Applied Mathematics at Cornell University. A renowned teacher and one of the world’s most highly cited mathematicians, he has blogged about math for the New York Times and The New Yorker and has been a frequent guest on Radiolab and Science Friday. He is the author of Sync and The Joy of x. He lives in Ithaca, New York.
From preeminent math personality and author of The Joy of x, a brilliant and endlessly appealing explanation of calculus – how it works and why it makes our lives immeasurably better.
Without calculus, we wouldn’t have cell phones, TV, GPS, or ultrasound. We wouldn’t have unraveled DNA or discovered Neptune or figured out how to put 5,000 songs in your pocket.
Though many of us were scared away from this essential, engrossing subject in high school and college, Steven Strogatz’s brilliantly creative, down‑to‑earth history shows that calculus is not about complexity; it’s about simplicity. It harnesses an unreal number—infinity—to tackle real‑world problems, breaking them down into easier ones and then reassembling the answers into solutions that feel miraculous.
Infinite Powers recounts how calculus tantalized and thrilled its inventors, starting with its first glimmers in ancient Greece and bringing us right up to the discovery of gravitational waves (a phenomenon predicted by calculus). Strogatz reveals how this form of math rose to the challenges of each age: how to determine the area of a circle with only sand and a stick; how to explain why Mars goes “backwards” sometimes; how to make electricity with magnets; how to ensure your rocket doesn’t miss the moon; how to turn the tide in the fight against AIDS.
As Strogatz proves, calculus is truly the language of the universe. By unveiling the principles of that language, Infinite Powers makes us marvel at the world anew.
##去年疫情期间读的,在 Calculus Made Easy 之后,过来本是想寻迹找到曾经看到的一本似乎是 Markov 写的书,还是没找到。
评分 评分##Strogatz文笔好好啊, 是那种不骄不躁娓娓道来的学者气质. 整本书的结构就是一部微积分的通史, 从阿基米德时代对无限的朴素认识, 到伽利略和开普勒, 到笛卡尔和费马, 到牛顿和莱布尼茨, 再到"贵宾头婴儿脸"的傅里叶, 每一代人都从每个时代的理论和认识局限中做出了有限的突破. 而把所有这些 delta 加起来, 再回过头来看当代数学庞大的体系, 以及其能够或不能解决的问题, 就特别能够 appreciate "edifice" 这个比喻, 它的基奠, 以及它未来的命运.
评分##好看,以微积分为主题的书能写得这么深入浅出真不容易。不知道有没有中译,原文非常流畅,打算把作者的其他书也都读一遍。
评分 评分 评分##从对无限的直观认识,到发展出系统严谨的分析方法,通过微积分人类得以求解世界的规律:微积分不仅仅是工具,还是上帝的语言,小到量子,大到天体,到最后都奇迹般近乎完美地遵从数学的定理,或许这就是数学使人敬畏的魅力
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