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.
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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.
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音乐(现实世界的和诸)与数字(想象世界的和谐)之间的这种出人意料的联系,引领毕达哥拉斯学派形成了“万物皆数”的神秘信念。
当我们凝视圆的时候,圆实际上也在注视着我们,因为它们就在我们所爱之人的眼睛里,在他们的瞳孔和虹膜的圆形轮廓中。圆不仅涵盖了实用物品和情感信物(比如车轮和婚戒),还很神秘。它们的永恒轮回让人联想到季节的循环、转世、永生和无尽的爱,难怪从人类研究形状开始,圆就一直备受关注。
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