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Mathemagical Buffet

的圖書
Mathemagical Buffet Mathemagical Buffet

作者:Liong-shin Hahn 
出版社:國立臺灣大學出版中心
出版日期:2013-01-09
語言:繁體書   
圖書介紹 - 資料來源:TAAZE 讀冊生活   評分:
圖書名稱:Mathemagical Buffet

Mathemagical Buffet offers a delectable feast to everyone with a basic facility in secondary-school mathematics. Every topic reflects the incomparable excitement, beauty, and joy of mathematics; they present a wealth of ingenious insights and marvelous ideas at the fundamental level.
The chapters are independent and can be read in any order. Everyone who enjoys elementary mathematics will truly delight in the following gems:
l.Pythagorean Triples via Geometry
l.New proofs of Generalizations of the Theorems of Ptolemy and Simson
l.Mind Reading Tricks, Ladder Lotteries, Mazes, Lattice Points, Round Robin Competitions, An Elementary Fixed Point Theorems and More
l.Simple proofs of the lovely Theorems of Pick and of Jung
l.The Constructibility of a Regular 17-gon
l.Open Problems on Egyptian Fractions and on Primes
Moreover, the reader is gently encouraged to participate actively by responding to a line of questions that are thoughtfully sprinkled throughout the developments of the expositions.


作者簡介:

Liong-shin Hahn was born in Tainan, Taiwan. He obtained his B.S. from the National Taiwan University, and his Ph.D. from Stanford University. He authored Complex Numbers and Geometry (Mathematical Association of America, 1994), New Mexico Mathematics Contest Problem Book (University of New Mexico Press, 2005), Honsberger Revisited (National Taiwan University Press, 2012), and co-authored with Bernard Epstein Classical Complex Analysis (Jones and Bartlett, 1996). He was awarded the Citation for Public Service from the American Mathematical Society in 1998.




章節試閱
From 17th century to early 20th century, people of various walks in Japan offered their mathematical discoveries on wooden tablets to shrines and temples. Most of the time, it was done for pure enjoyment or to challenge others (but certainly not for college entrance or job promotion). Majority of them were in geometry. To me that is a strong indication that geometry had (and still has) popular appeal to the general public. Thus I find it very tragic that geometry is being de-emphasized in schoo...
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作者序


Throughout my many years of teaching at the university level, I frequently enjoyed giving stimulating little talks to secondary-school students (in the U.S. and Taiwan). This book contains detailed accounts of these talks. Because each topic is aimed at a particular grade level, chapters are independent and may be read in any order.

It is unlikely that more than a small fraction of our students will actually use mathematics in their careers. Therefore, we would do well to foster healt...
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目錄
Preface ix
1 Sums of Consecutive Integers 1
2 Galilean Ratios 7
3 The Pythagorean Theorem 11
 3.1 Proofs 11
 3.2 A Puzzle 17
 3.3 Pythagorean Triples 18
 3.4 Generalizations of the Pythagorean Theorem 20
4 Japanese Temple Mathematics 25
 4.1 Problems 25
 4.2 Solutions 27
5 Mind Reading Tricks 41
 5.1 Trick 1 41
 5.2 Trick 2 43
6 Magic Squares 47
 6.1 New Year Puzzle 2010 47
 6.2 Magic Squares 49
7 Fun with Areas 53
 7.1 Two Theorems of Newton 53
 ...
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商品資料
  • 作者: Liong-shin Hahn
  • 出版社: 國立台灣大學出版中心 出版日期:2013-01-09 ISBN/ISSN:9789860355109
  • 語言:英文 裝訂方式:平裝 頁數:248頁
  • 類別: 中文書> 教育> 教育學
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