Methods of Geometry

A practical, accessible introduction to advanced geometry
Exceptionally well–written and filled with historical and bibliographic notes, Methods of Geometry presents a practical and proof–oriented approach. The author develops a wide range of subject areas at an intermediate level and explains how theories that underlie many fields of advanced mathematics ultimately lead to applications in science and engineering. Foundations, basic Euclidean geometry, and transformations are discussed in detail and applied to study advanced plane geometry, polyhedra, isometries, similarities, and symmetry. An excellent introduction to advanced concepts as well as a reference to techniques for use in independent study and research, Methods of Geometry also features:Ample exercises designed to promote effective problem–solving strategiesInsight into novel uses of Euclidean geometryMore than 300 figures accompanying definitions and proofsA comprehensive and annotated bibliographyAppendices reviewing vector and matrix algebra, least upper bound principle, and equivalence relations

Spis treści:
Foundations.
Elementary Euclidean Geometry.
Exercises on Elementary Geometry.
Some Triangle and Circle Geometry.
Plane Isometries and Similarities.
Three Dimensional Isometries and Similarities.
Symmetry.
Appendices.
Bibliography.
Index.

Nota biograficzna:
JAMES T. SMITH, PhD, is Professor of Mathematics at San Francisco State University.

Okładka tylna:
A practical, accessible introduction to advanced geometry
Exceptionally well–written and filled with historical and bibliographic notes, Methods of Geometry presents a practical and proof–oriented approach. The author develops a wide range of subject areas at an intermediate level and explains how theories that underlie many fields of advanced mathematics ultimately lead to applications in science and engineering. Foundations, basic Euclidean geometry, and transformations are discussed in detail and applied to study advanced plane geometry, polyhedra, isometries, similarities, and symmetry. An excellent introduction to advanced concepts as well as a reference to techniques for use in independent study and research, Methods of Geometry also features:Ample exercises designed to promote effective problem–solving strategiesInsight into novel uses of Euclidean geometryMore than 300 figures accompanying definitions and proofsA comprehensive and annotated bibliographyAppendices reviewing vector and matrix algebra, least upper bound principle, and equivalence relations