blog/content/post/2012/01/07/2012-01-07-00001540.md

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Math Girls (『数学ガール』の英訳)で気になった部分 (まだ途中) kazu634 2012-01-07
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メモ

数学ガールの英訳を入手しました。

この本、オススメです。翻訳家はとても素晴らしい仕事をしていると思います。日本語版のリズムを損なうことなく、簡単な語彙で、難しいことを伝えている様子や、登場人物たちの様子を通してこちらに学ぶ楽しさが伝わって来ます。原作の日本語版を読んでいるのと同じ感覚に襲われます!

意識の高い、大学受験を狙う高校生は日本語と英訳を買って、一冊読んでみるのがオススメ。英語と数学の勉強になる。読んでて楽しいし、自分がまだ家庭教師のバイトをしていたら絶対にテキストに採用していたとおもう。

[2012/1/16追記] There was a problem connecting to Twitter. There was a problem connecting to Twitter.

さてさて英訳で気になった部分は以下の通りです:

Mathematics is timeless.

When I think back on those days, equations seem to pop into my head and fresh ideas flow like a spring. Equations dont fade with the passage of time. Even today they reveal to us the insights of giants: Euclid, Gauss, Euler.

Mathematics is ageless.

Through equations, I can share the experience of mathematicians from ages past. They might have worked their proofs hundreds of years ago, but when I trace the path of their logic, the thrill that fills me is mine.

Mathematics leads me into deep forests and reveals hidden treasures. Its a competition of intellect, a thrilling game where finding the most powerful soution to a problems is the goal. It is drama. It is battle.

Math isnt about dredging up half-remembered formulas. Its about making new discoveries. Sure, there are some things that require rote memorization: the names of people and places, words, the symbols of the elements. But math isnt like that. With a math problem, you have a set of rules. You have tools and aterials, laid out on the table in front of you. Maths not about memorizing, its about thinking. Or at least, thats what it is to me.

If you only saw the 1,2,3,4, then youd expect the next number to be 5. But youd be wrong. Rules wont always reveal themselves in a small sample.

Mathematicians are always the lookout for useful concepts to help build the world of mathematics. When they find something really good, they give it a name. Thats what a definition is. So you could

define the primes to include 1 if you wanted to. But theres a difference between a possible definition and a useful one.

Well, its not like you have to get a PhD, but when youre reading math, you do have to make an effort to get into it. Dont just read it, write it out. Thats the only way to be sure you really understand.

Seeing something from higher up can make your description simpler, and a simpler description is a sign of deeper understanding. When you look for the next number in a fragment of a sequence, youre just solving a puzzle. When you generalize the seuence, youre uncovering its hidden form. And thats when the magic happens.

Circles are a more natural source of repetition. People who can only see real numbers on a number line would probably call it an oscillation, but once you can see it on the complex plane you notice that its a revolution. More hidden structure!

When most people hear the word formula, I think they imagine something thats written in stone, something to be memorized but never questioned. Once you start playing around with math, you see them in a different light. Theyre more like a clay than stone: the more you work with them, the softer they get.

Testing thing with concrete examples like that is really important. Examples are the key to understanding, right.

When you keep plugging away at something you love, you learn to tell the difference between whats important and whats fluff. Ive had math teachers that try to impress their students by talking really loud, or by acting smarter than they are. I guess they want to be the center of attention, like its an ego thing, or something. But someone whos used to thinking about things, someone who knows whats real, doesnt act like that. You cant figure out a recurrence relation by shouting at it. You cant solve an equation by pretending youre a genius. So no matter what people say to you, no matter what people think about you, just do your own thing until you figure it out. I think thats really important. you have to follow what you love. You have to chase after —