Basic Lessons On Isometries, Similarities And Inversions In The Euclidean Plane: A Synthetic Approach

This book provides a comprehensive synthetic exposition of plane isometries, similarities, and inversions, offering new proofs and solutions to classical geometry results and problems. It includes examples, applications, and exercises, making it an essential addition to mathematics education.

Format: Hardback
Length: 500 pages
Publication date: 27 September 2021
Publisher: World Scientific Publishing Co Pte Ltd

This comprehensive book serves as a thorough synthetic exposition of plane isometries, similarities, and inversions, catering to readers with an interest in studying, teaching, and applying this material. The topics covered in this book offer novel proofs and solutions to numerous classical geometry results and problems, presented with diverse proofs in the literature. Their applications are extensive, with some, such as the Steiner Chains and Point, being valuable to engineers. The book is packed with numerous excellent examples, significant applications, and a diverse range of exercises, categorized into three groups: general exercises, geometrical constructions, and geometrical loci. Certain lengthy exercises or groups of related exercises can be considered projects.

Moreover, this book extends beyond classical geometry and holds significant importance in mathematics education. It serves as a valuable resource for students, educators, and researchers alike, providing a solid foundation in the study of plane isometries, similarities, and inversions.

ISBN-13: 9789811239854