Methods of Geometry

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John Wiley & Sons, 1 de març 2011 - 486 pàgines
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A practical, accessible introduction to advanced geometryExceptionally well-written and filled with historical andbibliographic notes, Methods of Geometry presents a practical andproof-oriented approach. The author develops a wide range ofsubject areas at an intermediate level and explains how theoriesthat underlie many fields of advanced mathematics ultimately leadto applications in science and engineering. Foundations, basicEuclidean geometry, and transformations are discussed in detail andapplied to study advanced plane geometry, polyhedra, isometries,similarities, and symmetry. An excellent introduction to advancedconcepts as well as a reference to techniques for use inindependent study and research, Methods of Geometry alsofeatures:

  • Ample exercises designed to promote effective problem-solvingstrategies
  • Insight into novel uses of Euclidean geometry
  • More than 300 figures accompanying definitions and proofs
  • A comprehensive and annotated bibliography
  • Appendices reviewing vector and matrix algebra, least upperbound principle, and equivalence relations

    An Instructor's Manual presenting detailed solutions to all theproblems in the book is available upon request from the Wileyeditorial department.
 

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Continguts

1 Introduction
1
2 Foundations
19
3 Elementary Euclidean geometry
53
4 Exercises on elementary geometry
127
5 Some triangle and circle geometry
157
6 Plane isometrles and similarities
227
7 Three dimensional isometries and similarities
295
8 Symmetry
327
Appendix A Equivalence relations
423
Appendix B Least upper bound principle
425
Appendix C Vector and matrix algebra
429
Bibliography
443
Index
463
Copyright

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Quant a l’autor (2011)

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

Informació bibliogràfica