Geometric Transformations I | Salahaddin University eLibrary (SULIB)

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Geometric Transformations I

I. M. Yaglom (Isaak Moiseevich Yaglom) - Personal Name;

This classic work introduces readers to a completely different way of looking at familiar geometric facts by focusing on transformations of the plane that do not alter the shape or size of figures. It specifically explores distance-preserving transformations—such as translations, rotations, reflections, and glide reflections—to bridge high school Euclidean geometry with sophisticated group-theoretic concepts. Designed for motivated high school students and interested laymen, the text emphasizes mathematical methods over simple results, using a vast collection of problems and detailed solutions to develop intuitive understanding. It serves as the first volume in a series that ultimately leads toward the foundations of non-Euclidean geometry.