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.
##本书英文标题的字面意思其实是无穷的力量,中文标题用了意译 叫微积分的力量,让目标读者直观了解这本书在讲啥。无穷是缘起,微积分是结果。这本书是一本极好的激发数学兴趣和爱好的启蒙读物,也是很棒的一本讲述历代著名数学家生世的故事书。我没想到笛卡尔娇惯一生,最终因为要给女王上早课,而死于肺炎。也没想到 微分的秘密藏在高中学过的不断减小的数列里(这种豁然开朗式的理解带来的快乐是物质上的快乐无法比拟的)。我工作跟医学和医学影像都密切相关,这本书里讲了好些微积分在医学和成像中的应用和贡献,让我倍感亲切同时又相见恨晚。比如CT的成像,如何从多条衰减的射线中重建处一个层面里的2D图像。本书也让我对维度诅咒有更加具体的认知。本书把相对论中涉及的现象,比如物质如何时空相互作用等讲得趣味十足。
评分要是我早读了这本书,当年的微积分会学得很有趣味吧!
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##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##补录,y9数学阅读作业
评分##补录,y9数学阅读作业
评分##太多equation还有数学名词..不适合有声书来听
评分##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##特别适合学微积分的时候看
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