All Formats & Editions

Geometry: A Metric Approach with Models , imparts a real feeling for Euclidean and non-Euclidean (in particular, hyperbolic) geometry. Intended as a rigorous first course, the book introduces and develops the various axioms slowly, and then, in a departure from other texts, continually... Read Full Overview

This text offers a vivid modern development of classical and non-Euclidean geometries. Intended for a first course that is concerned with firm foundations, the book presents abstract systems in an accessible style by means of models that are carefully integrated with the theory,... Read Full Overview

This text offers a vivid modern development of classical and non-Euclidean geometries. Intended for a first course that is concerned with firm foundations, the book presents abstract systems in an accessible style by means of models that are carefully integrated with the theory,... Read Full Overview

This book is intended as a first rigorous course in geometry. As the title indicates, we have adopted Birkhoff's metric approach (i.e., through use of real numbers) rather than Hilbert's synthetic approach to the subject. Throughout the text we illustrate the various axioms,... Read Full Overview