Mr. Ivan Chan 's Recommendation | ||
Book : | 數學女孩﹣費馬最後定理 | ![]() ![]() |
Author : | 結城浩 | |
Publisher : | 世茂出版有限公司 | |
Call No : | To be confirmed | |
Reflections : | 我所介紹的這本書名叫“數學女孩﹣費馬最後定理”。 |
|
Mr. Chan Tsz Fung 's Recommendation | ||
Book : | 數學女孩﹣費馬最後定理 | ![]() ![]() |
Author : | 結城浩 | |
Publisher : | 世茂出版有限公司 | |
Call No : | To be confirmed | |
Reflections : | 本書講述高中生主角與同學米爾迦、學妹蒂蒂和初中生表妹由梨在日常學生生活中討論、一起學習數學的故事。全書以主角第一人稱全以對話形式嘗試帶領讀者一起思考探索數學的世界。 |
|
Miss Constance Cheung 's Recommendation | ||
Book : | 微積分的歷史步道 |
![]() ![]() |
Author : | 蔡聰明 |
|
Publisher : | 三民書局 |
|
Call No : | 314.1 4490 | |
Reflections : | 中四選修單元一或單元二的同學,都有機會學習到微積分•微分學起源於求曲線的切線斜率問題,積分學則源於求面積與體積的問題。微積分的共同特色是都要經歷「無窮步驟」,落實於無窮小的演算與極限操作,極具難度。 從古希臘開始,數學家經年的奮鬥到了十七世紀,由牛頓與萊布尼茲發展出微積分,並看出它們的互逆性,得到微積分根本定理,從而了解求切、求積、求極、變化與運動現象等問題。牛頓由運動學切入微積分;而萊布尼茲由差和分的連續化得到微積分,雖然是殊途同歸,但基本思想還是有所差異.此外,牛頓隱藏追求普遍方法,但熱衷解決特殊問題;萊尼茲強調普遍方法,用它來解特殊問題.我們都公認,微積分是由他們兩個人各自以不同的方式獨立地發展出來的,到近1880年,微積分的基礎才鞏固下來. |
|
Mr. Wesley Choi 's Recommendation | ||
Book : | The Math Book: From Pythagoras to the 57th Dimension, 250 Milestones in the History of Mathematics | ![]() ![]() |
Author : | Clifford A. Pickover | |
Publisher : | Sterling |
|
Call No : | To be confirmed | |
Reflections : | If you used not to read math leisure readings because of the following reasons: The Math book is not a technical one in terms of its content, but a book which is written for a general audience who do not necessarily have much background in mathematics. It contains 250 single-page articles on milestones in the history of mathematics. Each article, arranged in chronological order, is followed by a related full-page color image – some of them are stunning computer generated images. Each article is short and self-contained, and is easy to read in a few minutes at a time. You can just pick some of those that you are familiar with such as Tic Tac Toe, Pythagorean Theorem and Triangles, Law of Cosine, Platonic Solids, Zero, Discovery of Series Formula for p, Logarithms, Pascal’ Triangles, Discovery of Calculus, Euler’s number e, Pigeonhole Principle, Rubik’s Cube etc. Though there are contents which are related to advanced math topics, the author is trying to press it and to explain the simplest overview of them and their significance in the development of mathematics at different stages. He rarely attempts to actually convey understanding of them so that it is easy for the reader to read through. I would especially recommend this book to those who are currently or would like to study math extensive modules in senior secondary. It will not immediately drive you to the success in studying mathematics, but could be able bring you to a delighted realm in mathematics if you already have a slight inclination towards it. |
|
Miss Linda Chung 's Recommendation | ||
Book : | 典雅的幾何 | ![]() ![]() |
Author : | 倫迪 | |
Publisher : | 天下遠見出版 | |
Call No : | 316 2822 | |
Reflections : | 這本書其實是兩個作者所著的,第一部是Lundy, M寫的「神聖的幾何」;而第二部是Sutton, D所整理的「柏拉圖與阿基米德立體」。 |
|
Mrs Yvonne Hui's Recommendation | ||
Book : | Maths Olympiad [Advanced] | ![]() ![]() |
Author : | Terry Chew | |
Publisher : | Singapore Asian Publications | |
Call No : | To be confirmed | |
Reflections : | The International Mathematical Olympiad (IMO) is a worldwide mathematics competition which held in over 80 countries annually. The paper consists of six problems, which chosen from various areas of secondary school mathematics. The solutions are usually short and elementary. No knowledge of higher mathematics is required. This book is target to those who are interested in knowing more about this competition. Moreover, the problems in this book are good for form one to four students in revising Hong Kong secondary mathematics curriculum. Analyses and explanations in examples are easy to understand. The intermediate-level practice questions encourage students to enhance their problem-solving skills. |
|
Mr. Kit Kar Mun's Recommendation | ||
TV series: | Numb3rs -- Season 2, episode 5 – ‘Assassin’ |
![]() ![]() |
Author : | ||
Publisher : | ||
Call No : | ||
Reflections : | “We all use math every day; to predict weather, to tell time, to handle money. Math is more than formulas or equations; it's logic, it's rationality, it's using your mind to solve the biggest mysteries we know.” - opening credits. The opening credits gives a neat little answer to the question “When do we ever use Maths in real life?” Of course, it doesn’t answer the question “When will I ever need to use the cosine formula?” (the answer is probably never, BTW), but it does demonstrate how many people think Maths is so much more complex than it is. I’ve had many a student who claims that they “can’t do Maths”, and yet are able to tell me strange and complicated things such as the fact that I get things cheaper per item at the supermarket if I use a certain credit card on certain days of the week, in combination with certain other products when they are on special offer, plus I get more free stamps to boot! But I digress…Numb3rs (note the fancy 3 instead of the e) is a US TV show that uses Maths to solve crimes. The premise is simple; every episode, FBI agent Don Eppes is challenged with solving a new crime, and he needs the help of his genius Mathematician younger brother Charlie (who is also a university professor) to crack the case. Each week, new mathematical theories are introduced and utilized to solve different crimes from murder to theft. Charlie (our Maths genius) will dazzle us with complicated maths speak (which is strangely easy to guess the meaning of) that most people won’t be too put off by, leaving us with moments where we might think “so THAT’S where Maths can be useful!” To top it all off, the Maths in each episode is guaranteed to be correct. The Wolfram website even has a dedicated blog explaining the maths behind each episode and how it was used to solve it! In the episode ‘Assassins’ which I’m reviewing, two of my favourite topics are broached; crytanalysis (how to break a code) and game theory are used to decipher a hitman’s messages and then to second, and triple guess him into apprehending him before he can kill his target. In this episode, the maths is an ok match for the plot, but this is not always the case. While the maths is always correct, the story is written and then the Maths is added into the script. So while I can see the connection between the theory and the application, it does sometimes leave me with a sense of “Yeah! Right! As if that’s ever gonna happen!” It’s often a case of overcomplicating a rather simple problem, or rather, it takes Charlie half an episode to come up with complicated equations that takes up 3 blackboards to come up with an answer that police profiler could come up with in a few minutes. With those down points aside, I must say that the Maths is quite seamlessly integrated into a polished TV series. The dialogue is snappy, the plot moves on at a smooth pace, and it never really gets stuck on certain parts for too long. So for fans of crime series like CSI or Bones, or for those who want to get a glimpse of what Maths CAN be used for, Numb3rs is definitely worth a try! |
|
Ms. Monica Lau's Recommendation | ||
Book : | 為什麼要學數學 | ![]() ![]() |
Author : | 郭嵩 | |
Publisher : | 海鴿 | |
Call No : | 310 0742 | |
Reflections : | 為什麼要學數學?想必有很多同學都不明白,而且當中不少認為數學艱深、乏味、欠實際。如果你心裡有這樣想法,本書或能改變你對數學和其應用的了解, |
|
Ms. Katie Leung's Recommendation | ||
Book : | 生活的數學 | ![]() ![]() |
Author : | 羅浩源 | |
Publisher : | 九章 | |
Call No : | To be confirmed | |
Reflections : | 從幼稚園開始,香港學生便要學習數學,但不少學生升讀中學後都經常問?一個問題:學習這些數學課題有何用?我們日常生活不只要需要運用加減乘除了吧?其實在日常生活中,我們可以用數學方法去理解周遭的事物。譬如我們可以從黃金分割(golden section)理解女士們愛穿高跟鞋的理由,什麼高度的高跟鞋才會令自己身段顯得較美。喜歡打籃球的同學亦可以二次函數(quadratic function)理解為何較高的拋物線會有較大的「穿針」機會,並因應自己的跳躍高度計算出最有利的投籃距離和角度。讀完此書,大家便會發現我們過去所學的數學並一無事處,可以跟數學扯上關係的東西其實多的是,關鍵是懂不懂用和會不會用 |
|
Mr. Joseph Ng 's Recommendation | ||
Book : | 愛上數學的14堂課 | ![]() ![]() |
Author : | 新井紀子(許慧貞譯) | |
Publisher : | 世茂出版集團 | |
Call No : | To be confirmed | |
Reflections : | 想要快樂,最好乾脆放棄數學,真的是這樣嗎?如果你對數學一點興趣也沒有,那麼你要好好地了解和認識它,打好數學的根基。看了這本書後,你會學懂怎樣解應用題、轉換單位和了解除法、分數、率、比其實一樣等,更可能培養出高中之前必須具備的數學基礎。 |
|
Mr. Victor Ng 's Recommendation | ||
Book : | 數學和數學家的故事1 | ![]() ![]() |
Author : | 李學數 | |
Publisher : | 廣角鏡出版社 | |
Call No : | To be confirmed | |
Reflections : | 問以下的數列是什麼名字? 以上的是屬於「數學和數學家的故事1」的其中一部分。書內除了介紹不少數學家的故事,還有很多關於數學的有趣典故。 |
|
Mr. Henry Siu 's Recommendation | ||
Book : | 數學恩仇錄:數學史上的十大爭端 |
![]() ![]() |
Author : | 哈爾.海爾曼 | |
Publisher : | 博雅書屋(繁體)、復旦大學出版社(簡體) | |
Call No : | To be confirmed | |
Reflections : | 作為一名數學老師,多少對數學歷史總有一點興趣。 作者在書中記錄了十段在近代數學歷史中的精彩事件,縱然當中有鮮為人知的事情,但卻是對數學發展有?深遠的影響。或許你會覺得數學書不值一顧,但正如譯者所言「數學知識不?不要緊,不妨就當小說來讀,其感染力一點也不比虛構小說遜色。」 |
|
Miss Janice Suen 's Recommendation | ||
Book : | 這樣想,數學就變簡單了! | ![]() ![]() |
Author : | 王擎天博士 | |
Publisher : | 風信子文化 | |
Call No : | 523.32 1010 | |
Reflections : | 數學科? 在一些人的眼中, 是沉悶和討厭的。 因為經常做錯數學題, 成績又不太好, 便幾乎失去了學習興趣。所以, 很多老師和同學都認為:要學得好, 不外乎是多整理重點, 多做習題, 多測驗 (即是採用“題海戰術”), 多提問和多做考試檢討。這種學習方法在執行時需要很堅強的毅力。缺點是流于記憶層次, 比較偏重于用來應付考試, 對於真正數學精神的培養和邏輯思考的訓練不一定會有很大的幫助。 於是, 作者提出一種“直觀式系統性數學學習方法”, 並稱之為“學好數學的五個捷徑: 大膽try, 分段think, 圖像look, 運算simplify, 推演logical”, 以求在解題時真正達到靈活思考的層次, 並體會出數學是有用的。作者王擎天博士見解獨到, 經驗豐富, 講解深入淺出, 例子的程度從初中到高中都有。這是一本學習數學學習方法的好書, 相信你閱後一定可以得益! |
|
Mr. Kenneth Tang's Recommendation | ||
Book : | 數學史 (The History of Mathematics) | ![]() ![]() |
Author : | 朱家生 | |
Publisher : | 高等教育出版社 |
|
Call No : | To be confirmed | |
Reflections : | Knowing more about the history of mathematics gets you acquainted with this particular area of study in history. It also let you understand the development of mathematics and discover the reason of learning mathematics. You may then start to appreciate the many mathematicians from various countries across previous 5000 years. Even though you cannot follow all the mathematics ideas in the book, you can still know more about mathematics from a cultural point of view – how human activities affect the growth of mathematics, how mathematics interact with other disciplines of study, and how different people behave in exploring new aspects of mathematics, etc. This book is written with mathematics and for mathematics, but not just about mathematics. Have fun! |
|
Mr. Steve Tsang's Recommendation | ||
Book : | 數學奧林匹亞特訓班的一年 | ![]() ![]() |
Author : | 史帝夫奧森(Steve Olson), 齊若蘭譯 | |
Publisher : | 大眾科學館 | |
Call No : | To be confirmed | |
Reflections : | 你心目中的數學奧林匹克比賽的參賽者是怎樣的呢?是天才?是怪人?為什麼他們的數學能力都那麼好?是天資聰敏還是後天努力?這本書追?採訪美國奧數代表隊的幾位成員,記錄了他們的成長故事。既然是關於奧數成員,此書當然也收錄了一些具挑戰性的題目及成員們具創意的思考方法和過程,例如,用”圖像思考”幫助解題。除此之外,本書還有簡單提及一些著名的數學故事,例如Andrew Wiles與世隔絕,用了七年的時間證明了費馬最後定理。 |
|
Mr. Michael Yip's Recommendation | ||
Book : | How to solve it – The classic introduction to mathematical problem-solving | ![]() ![]() |
Author : | George Polya |
|
Publisher : | Penguin Science | |
Call No : | To be confirmed | |
Reflections : | Obviously, this is a book about solving mathematic problem. However, the author does not aim to teach the readers some new methods or techniques to solve problems. Instead, he introduces strategies and thinking steps that we can adapt to tackle questions that require us to find a solution or to prove something. Also, this book is intelligently designed for both teachers and students. While showing many different types of problem, the author also includes some dialogues between teacher and students. These dialogues show clearly how students can be guided through questions asked by their teacher. Very often, when coming across complicated questions, students have no idea how to start, how to connect the theories they have learned, how to construct working steps and how to check if their results are correct. If students are capable of asking themselves some useful questions step by step, the problem may not be as scary as they first see it. I highly recommend this book to all of you and I hope that you can equip yourselves good questioning strategies to guide yourselves to solve problems. Even when teacher is not here, you can still solve it! |