Methods of Geometry, Second Edition (Wiley-Interscience)

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 relationsAn Instructor's Manual presenting detailed solutions to all the problems in the book is available upon request from the Wiley editorial department.