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Beyond Infinity: An Expedition to the Outer Limits of the Mathematical Universe

Beyond Infinity: An Expedition to the Outer Limits of the Mathematical Universe

作者 : Eugenia Cheng

出版社 : PROFILE BOOKS LTD

可訂購

定價 : NT 495

售價79折, NT391

內容簡介


超越「無限」:走往數學宇宙的邊界探險
劍橋大學理論數學博士鄭樂雋繼暢銷書《如何烤一個數學Pi》,再度深入浩瀚廣博的數學世界


即使是剛接觸數學的小小孩從數數兒就知道數學無限的基礎概念,甚至0和1之間也有無限多個小數點。但這兩種無限是一樣的嗎?彼此之間誰大誰小?無限之間有大小概念的存在嗎?國際知名數學家鄭樂雋將揭開無限潛在的運作模式。在阿基里斯悖論中,無限如何讓芝諾理論中的烏龜完勝阿基里斯?而我們能用有限的麵團做出無限的餅乾嗎?

身兼鋼琴家、高人氣YouTuber及數學家的鄭樂雋發揮創意和直覺性的比喻,帶領初學者和熱愛數學的人,從基本到抽象的數學原理,從無限大到無限小,深入神秘而強大概念,揭露數學根本的真相。

Even small children know there are infinitely many whole numbers - start counting and you'll never reach the end. But there are also infinitely many decimal numbers between zero and one. Are these two types of infinity the same? Are they larger or smaller than each other? Can we even talk about 'larger' and 'smaller' when we talk about infinity? In Beyond Infinity, international maths sensation Eugenia Cheng reveals the inner workings of infinity.

What happens when a new guest arrives at your infinite hotel - but you already have an infinite number of guests? How does infinity give Zeno's tortoise the edge in a paradoxical foot-race with Achilles? And can we really make an infinite number of cookies from a finite amount of cookie dough?

Wielding an armoury of inventive, intuitive metaphor, Cheng draws beginners and enthusiasts alike into the heart of this mysterious, powerful concept to reveal fundamental truths about mathematics, all the way from the infinitely large down to the infinitely small.
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