Designed for a one-semester undergraduate course, this text takes a hands-on, interactive approach to teaching plane geometry. It is self-contained, defining basic concepts from linear and abstract algebra gradually as needed. Following the standards of the National Council of Teachers of Mathematics and the Common Core State Standards, the text provides students with a concrete visual alternative to Euclid's purely axiomatic approach to plane geometry. It uses exploratory activities to motivate geometrical concepts and includes exercises at the end of each section.
Designed for a one-semester undergraduate course, this text takes a hands-on, interactive approach to teaching plane geometry. It is self-contained, defining basic concepts from linear and abstract algebra gradually as needed. Following the standards of the National Council of Teachers of Mathematics and the Common Core State Standards, the text provides students with a concrete visual alternative to Euclid's purely axiomatic approach to plane geometry. It uses exploratory activities to motivate geometrical concepts and includes exercises at the end of each section.
Ronald N. Umble is a professor of mathematics at Millersville University of Pennsylvania. He has directed numerous undergraduate research projects in mathematics. He received his Ph.D. in algebraic topology under the supervision of James D. Stasheff from the University of North Carolina at Chapel Hill. Zhigang Han is an assistant professor of mathematics at Millersville University of Pennsylvania. He earned his Ph.D. in symplectic geometry and topology under the supervision of Dusa McDuff from Stony Brook University.
Inhaltsangabe
Axioms of Euclidean Plane Geometry. Theorems of Euclidean Plane Geometry. Introduction to Transformations Isometries and Similarities. Translations Rotations and Reflections. Compositions of Translations Rotations and Reflections. Classification of Isometries. Symmetry of Plane Figures. Similarity. Appendix. Bibliography. Index.
Axioms of Euclidean Plane Geometry. Theorems of Euclidean Plane Geometry. Introduction to Transformations Isometries and Similarities. Translations Rotations and Reflections. Compositions of Translations Rotations and Reflections. Classification of Isometries. Symmetry of Plane Figures. Similarity. Appendix. Bibliography. Index.
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