Ideal for mathematics majors and prospective secondary school teachers, Euclidean and Transformational Geometry provides a complete and solid presentation of Euclidean geometry with an emphasis on how to solve challenging problems. The author examines various strategies and heuristics for approaching proofs and discusses the process students should follow to determine how to proceed from one step to the next, through numerous problem solving techniques. A large collection of problems, varying in level of difficulty, are integrated throughout the text, and suggested hints for the more challenging problems appear in the instructor's solutions manual for use at instructor's discretion.
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Geared toward future high school math teachers, this textbook walks through the proof of theorems for understanding angles, triangles, circles, area, isometries, and trigonometric formulas. Libeskind (University of Oregon) offers several approaches to the Treasure Island problem, devotes a chapter to transformational geometry, and concludes with a
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