
Название: Geometry Transformed: Euclidean Plane Geometry Based on Rigid Motions
Автор: James R. King
Издательство: American Mathematical Society
Год: 2021
Страниц: 284
Размер: 10,27 МБ
Формат: PDF
Язык: English
Many paths lead into Euclidean plane geometry. Geometry Transformed offers an expeditious yet rigorous route using axioms based on rigid motions and dilations. Since transformations are available at the outset, interesting theorems can be proved sooner; and proofs can be connected to visual and tactile intuition about symmetry and motion. The reader thus gains valuable experience thinking with transformations, a skill that may be useful in other math courses or applications.