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Elementary geometry / John Roe

Main Author Roe, John Country Reino Unido. Publication Oxford : Oxford University Press, imp. 1997 Description IX, 307 p. : il. ; 24 cm Series Oxford science publications) ISBN 0-19-853456-6 CDU 514
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Item type Current location Call number Status Date due Barcode Item holds Course reserves
Monografia Biblioteca Geral da Universidade do Minho
BGUM 514 - R Available 238802

Licenciatura em Ciências da Computação Geometria 2º semestre

Licenciatura em Matemática Geometria 2º semestre

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Enhanced descriptions from Syndetics:

This text is a careful introduction to geometry. While developing geometry for its own sake, the book also emphasizes the links between geometry and other branches of pure and applied mathematics.

Table of contents provided by Syndetics

  • Axioms for geometry
  • Vector geometry
  • Congruence axioms
  • Euclidean geometry
  • Coordinates and equations
  • Plane geometry
  • Conics and other curves
  • Solid geometry
  • Area and volume
  • Quadric surfaces
  • Differential geometry of curves
  • Differential geometry of surfaces

Reviews provided by Syndetics


A careful development of geometry. Starting from affine geometry (including both the classical axioms and the algebraic approach through vector spaces), Roe adds distances to reach Euclidean geometry, then Cartesian coordinates, plane orientation (including polar coordinates), tangent lines, vector products to define spatial orientation, and axioms of area and volume. Along the way the reader encounters many properties of conic sections and quadric surfaces. Two final chapters introduce ideas from the differential geometry of curves and surfaces, including the general isoperimetric inequality and the Gauss-Bonnet theorem. Throughout, Roe mentions important connections with many other areas of mathematics, especially linear algebra and calculus, but also including topology and group theory. The traditional sequence of definition-theorem-proof is leavened by illuminating examples, historical asides, and applications to physics and engineering. Advanced undergraduate; graduate. C. J. Van Wyk Drew University

Author notes provided by Syndetics

John Roe is at Jesus College, Oxford.

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