Methods of Geometry
John Wiley & Sons, 10.01.2000 - 486 Seiten
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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AABC algebra altitude angle apply argument axioms axis base bisector called chapter circle classes classify composition compute concepts congruent Consider consists construct contains coordinate Corollary corresponding define definition derive Desargues describe detail determine developed discussion distance distinct edges equal equations example Exercise faces figure fixpoint formula four frieze function geometry given glide reflection hence identity included interior intersection isometry it's later lemma length lies line g linear mathematics matrix measure methods opposite origin orthogonal matrix parallel parameter perpendicular plane polygonal polyhedra presented problems Proof properties prove ratio reflection region regular result rotation segment side similarity square Suggestion Suppose symmetry group theorem theory transformation translation triangle unique vector vertices volume wallpaper