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- 作者： Liong-shin Hahn (著)
- 學科分類： 社會科學類
- 書籍分類： 數／理／化學 ; 理學院
- 出版社： 國立臺灣大學出版中心
- 出版地：臺灣
- 出版日期：2013
- 語文：英文
- ISBN/識別號：9789860355109
- DOI： 10.6327/NTUPRS-9789860355109
Mathemagical Buffet
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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:
｜． Pythagorean Triples via Geometry ｜．New proofs of Generalizations of the Theorems of Ptolemy and Simson ｜． Mind Reading Tricks, Ladder Lotteries, Mazes, Lattice Points, Round Robin Competitions, An Elementary Fixed Point Theorems and More ｜．Simple proofs of the lovely Theorems of Pick and of Jung ｜．The Constructibility of a Regular 17-gon ｜．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.
The chapters are independent and can be read in any order. Everyone who enjoys elementary mathematics will truly delight in the following gems:
｜． Pythagorean Triples via Geometry ｜．New proofs of Generalizations of the Theorems of Ptolemy and Simson ｜． Mind Reading Tricks, Ladder Lotteries, Mazes, Lattice Points, Round Robin Competitions, An Elementary Fixed Point Theorems and More ｜．Simple proofs of the lovely Theorems of Pick and of Jung ｜．The Constructibility of a Regular 17-gon ｜．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.
- 目錄
-
Preface - 1 Sums of Consecutive Integers
- 2 Galilean Ratios
- 3 The Pythagorean Theorem
- 4 Japanese Temple Mathematics
- 5 Mind Reading Tricks
- 6 Magic Squares
- 7 Fun with Areas
- 8 The Tower of Hanoi
- 9 Ladder Lotteries
- 10 Round Robin Competitions
- 11 Egyptian Fractions
- 12 The Ptolemy Theorem
- 13 Convexity
- 14 The Seven Bridges of Konigberg
- 15 The Euler Formula
- 16 The Sperner Lemma
- 17 Lattice Points
- 18 The Sums of Special Series
- 19 The Morley Theorem
- 20 Angle Trisection
- 21 Conics
- 22 Primes
- 23 Gaussian Integers
- 24 Calculus with Complex Numbers
- Appendix Determinants
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