Mathemagical Buffet

Download or read book Mathemagical Buffet written by Liong-shin Hahn and published by 國立臺灣大學出版中心. This book was released on 2013-01-01 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.