Mathemagical Cruise is not a mere collection of fun problems with clever solutions. It offers shining examples of how to approach problem solving. 

 

　　Each chapter is independent and can be read in any order by everyone with a basic background in high school mathematics. Some highlights of the excursion are:

 

　　● Slick Solutions of Double Sequence, Klarner’s Puzzle, Cube Tour, etc.

　　● Easy Proofs of Bolyai-Gerwin Theorem, Problem by P. Erdös and more

　　● New Year Puzzles (Especially, Year 2021 & 2022)

　　● Twelve Points on the Nine-Point Circle

　　● What's a Point in a Square?

　　● Five Circles through a 5x6 Grid

　　● Generalization of Ceva's Theorem

　　● Easy Approach to Coaxal Circles

　　● Inversion and its Applications

　　● Lattice Integer Triangles

　　● Isbell's Problem

　　● Sequence of Theorems of Simson & Cantor

　　● Miscellaneous Problems with Solutions

　

　　By cruising through these treasure islands, the reader will traverse mathematical boundaries. Be adventurous and inspired to explore the seas beyond the horizon.

 

 

　　Liong-shin Hahn was born in Tainan, Taiwan. After graduating from the Tainan First Middle School and the National Taiwan University, he attended Stanford University and obtained his Ph.D. under Professor Karel deLeeuw. 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), Mathemagical Buffet (National Taiwan University Press, 2013), 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. His number one hobby is creating/solving mathematical puzzles.