Infinite Powers: How Calculus Reveals the Secrets of the Universe (Paper )
暫譯: 無限的力量:微積分如何揭示宇宙的奧秘(平裝)

Strogatz, Steven

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商品描述

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.

商品描述(中文翻譯)

來自傑出的數學推廣者、《The Joy of x》作者,這是一部精彩且令人百讀不厭的微積分解析之作——說明微積分如何運作,以及它為何讓我們的生活變得無比美好。

沒有微積分,我們就不會擁有手機、電視、GPS 或超音波技術;我們不會破解 DNA 的奧祕,不會發現海王星,也不會想出如何把 5,000 首歌曲放進口袋裡。

雖然我們許多人在高中或大學時,曾被這門不可或缺且引人入勝的學科嚇退,但 Steven Strogatz 以極具創意、貼近生活的歷史敘事,展現出微積分並不是關於複雜,而是關於簡潔。它運用一個不切實際的數字——無限(infinity)——來處理現實世界的問題,將問題拆解成較容易解決的部分,再把答案重新組合成令人驚嘆、幾乎不可思議的解決方案。

《Infinite Powers》回顧了微積分如何令其發明者著迷並感到振奮:從古希臘最初閃現的思想,一路講述到重力波的發現(這種現象正是微積分所預測的)。Strogatz 揭示了這種數學如何迎接各個時代的挑戰:如何只用沙子和一根棍子測量圓的面積;如何解釋火星為何有時會「倒退」;如何利用磁鐵發電;如何確保火箭不會錯過月球;以及如何在對抗 AIDS 的戰役中扭轉局勢。

正如 Strogatz 所證明的,微積分確實是宇宙的語言。透過揭示這門語言的原理,《Infinite Powers》讓我們重新驚嘆於這個世界。

作者簡介

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.

 

作者簡介(中文翻譯)

STEVEN STROGATZ 是 Cornell University 的 Jacob Gould Schurman 應用數學講座教授。他是一位享譽盛名的教師,也是全球論文引用次數最高的數學家之一;他曾為《New York Times》和《The New Yorker》撰寫數學部落格文章,並經常擔任《Radiolab》和《Science Friday》的來賓。