When I mention the word “maths” some adjectives will come to mind, boring, difficult and complicated. But I think maths is very interesting. It is used almost everywhere in our life and also related to art and music.
We all know one geometrical concept, the golden section. It's very important in painting, sculpture and architecture, such as the Parthenon in Athens and the Venus de Milo. In nature a little pentagonal flower has its golden section. It looks beautiful.
What about its connection with music? Lets take a look at a straight and tight string. Pluck it, and then halve its length, then pluck it again. The sound we hear is the same note but a higher frequency. The Greek mathematician Pythagoras discovered this law and it developed into the musical scale we know today.
Another example is from the famous composer, Bach. When we listen to his music in “Well-Tempered Clavier”, we find the notes are always getting higher .But amazingly, in the end, it comes back to the initial height. Why is it? That's why Bach was great! It's a very interesting maths problem. We call it a paradox.
These days we learn maths at school. The only purpose is to get a high mark. But I personally think that those with curious and creative minds will open the door to the world of maths. Just as Galileo said, “Mathematics is the alphabet with which God has written the universe”. Maths, in my eyes, is a fascinating subject that needs our passion and imagination. In the end I hope you love this boundless treasure and enjoy the magical world of maths!
Thank you.
我眼中的數(shù)學(xué)
大家好!我今天演講的題目是:我眼中的數(shù)學(xué)。
一提到“數(shù)學(xué)”這個詞,你們一定會聯(lián)想到“枯燥”、“復(fù)雜”之類的形容詞。不過在我眼里,數(shù)學(xué)是一門妙趣橫生的學(xué)科。它十分廣泛地被應(yīng)用在我們生活的每一個角落,還與音樂、美術(shù)有著極大的聯(lián)系。
我們都知道一個幾何概念:黃金分割。它在繪畫、雕塑、建筑藝術(shù)等方面都占有重要地位。比如雅典衛(wèi)城,斷臂維納斯就運用了黃金分割。在大自然中,一朵五邊形的小花也有它的黃金分割點,于是它看上去就很可愛了。
數(shù)學(xué)和音樂又有什么聯(lián)系呢?讓我們來看看著根緊繃的線。撥動一下,然后抓住繩子的二分之一處,再撥一下,就會聽到在不同高度的同一個音。畢達哥拉斯發(fā)現(xiàn)了這一點。于是它逐漸發(fā)展成今天的音階。
另一個例子是關(guān)于大作曲家巴赫的,如果我們仔細聆聽他《平均律鋼琴曲集》中的旋律,就會發(fā)現(xiàn)音高總是在慢慢上升。但出乎意料的是,在樂曲的結(jié)尾,它卻回到了原來的高度。這是為什么呢?這大概就是巴赫的偉大之處了。其實,它是一個非常有趣的數(shù)學(xué)問題,我們把它叫做“數(shù)學(xué)悖論”.
如今我們在學(xué)校里學(xué)習數(shù)學(xué),只是為了應(yīng)付考試。但我個人認為,打開數(shù)學(xué)之門的,是那些有好奇心和創(chuàng)新精神的人們。就像伽利略所說的:數(shù)學(xué)是上帝用來記載宇宙的字母表。數(shù)學(xué)在我眼中是一門美妙的學(xué)科,它需要我們的激情與想像力。最后,我希望大家也能喜歡這寶藏,愛這神奇的數(shù)學(xué)王國。
謝謝!