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Methods of Geometry, Second Edition (Wiley-Interscience) by James T. Smith

Download Methods of Geometry, Second Edition (Wiley-Interscience)

Methods of Geometry, Second Edition (Wiley-Interscience) James T. Smith
Language: English
Page: 507
Format: pdf
ISBN: 0471251836, 9780471251835
Publisher: Wiley-Interscience

Review

"It should be emphasized that the book is filled with historical and bibliographic notes, good motivations and a number of exercises. Altogether, it can be regarded as a good approach to a special part of geometry on an intermediate level." (Zentralblatt Math, Volume 955, No 5, 2001)

"Fine interweaving of history, foundations, and geometry.... Useful as a source of exercises." (American Mathematical Monthly, November 2001)

From the Back Cover

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