Euclidean and Non-Euclidean Geometries: Development and History
Marvin J. Greenberg
Abstract
This book presents the discovery of non-Euclidean geometry and the subsequent reformulation of the foundations of Euclidean geometry. The book provides a selection of topics suitable for the undergraduate student. A feature of this text is that some new results are developed in the exercises and then built upon in subsequent chapters. Many new exercises have been included in this edition. The book incorporates a discussion of the historical development of ideas, and the philisophical implications on the subject.
Topics & Concepts
Euclidean geometryNon-Euclidean geometryEuclidean distanceDevelopment (topology)Subject (documents)Computer scienceSelection (genetic algorithm)Mathematics educationMathematicsGeometryAlgebra over a fieldArtificial intelligencePure mathematicsLibrary scienceMathematical analysisMathematics and ApplicationsHistory and Theory of MathematicsAdvanced Theoretical and Applied Studies in Material Sciences and Geometry