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 ho
本書分(上)、(下)兩冊,供土木與建築群第一學年上、下學期,每週四節,每學期四學分教學使用。本書之目標,在培養學生認識基本製圖的內涵及中華民國國家標準(Chinese National Standards,CNS)之規範,熟悉製圖的觀念及各種繪圖技巧,建構立體空間之概念,以利銜接施工圖繪製之準備,並培養良好的製圖習慣及職業道德。本書之授課方法以學生實際操作為主,教師講解為輔,以培養學生識圖及製圖的