Essential Concepts of Geometry (Second Edition) (電子書)

This book is a self-contained introduction to the fundamental and interesting topics of geometry. The topics covered include the definitions and properties of 2D and 3D shapes, the basic concepts and formulas of perimeter, area and volume, the Pick’s formula, the Cavalieri’s principles, the basic geometric transformations, the concepts of tessellations, the Euler’s polyhedral formula, and the methods of construction of regular polygons and regular polyhedra. Complemented by diagrams, pictures, examples and exercises, the materials covered are suitable for an introductory course on geometry and will appeal to school students, teachers, junior undergraduate students, mathematics instructors or lecturers alike.

Dr. Man Yiu Kwong obtained a BSc (Hons) degree in Mathematics from the Hong Kong Polytechnic University, and also an MSc degree (with Distinction) and a PhD degree in Mathematics from Queen Mary, the University of London. He also obtained a PGDE (with Distinction) from the Chinese University of Hong Kong. His research interests include Computer Algebra, Differential Equations, Geometry, History of Mathematics, Problem-solving and Mathematics Education. He is currently an Associate Professor of the Department of Mathematics and Information Technology, the Education University of Hong Kong.