Geometry A Comprehensive Course

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  • Engels
  • Paperback
  • 9780486658124
  • 01 november 1989
  • 464 pagina's
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Samenvatting

"A lucid and masterly survey." — Mathematics GazetteProfessor Pedoe is widely known as a fine teacher and a fine geometer. His abilities in both areas are clearly evident in this self-contained, well-written, and lucid introduction to the scope and methods of elementary geometry. It covers the geometry usually included in undergraduate courses in mathematics, except for the theory of convex sets. Based on a course given by the author for several years at the University of Minnesota, the main purpose of the book is to increase geometrical, and therefore mathematical, understanding and to help students enjoy geometry.Among the topics discussed: the use of vectors and their products in work on Desargues' and Pappus' theorem and the nine-point circle; circles and coaxal systems; the representation of circles by points in three dimensions; mappings of the Euclidean plane, similitudes, isometries, mappings of the inversive plane, and Moebius transformations; projective geometry of the plane, space, and n dimensions; the projective generation of conics and quadrics; Moebius tetrahedra; the tetrahedral complex; the twisted cubic curve; the cubic surface; oriented circles; and introduction to algebraic geometry.In addition, three appendices deal with Euclidean definitions, postulates, and propositions; the Grassmann-Pluecker coordinates of lines in S3, and the group of circular transformations. Among the outstanding features of this book are its many worked examples and over 500 exercises to test geometrical understanding.

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Inhoud

Taal
en
Bindwijze
Paperback
Oorspronkelijke releasedatum
01 november 1989
Aantal pagina's
464
Illustraties
Nee

Betrokkenen

Hoofdauteur
Dan Pedoe
Tweede Auteur
Dan Pedroe
Co Auteur
Mathematics
Hoofduitgeverij
Dover Publications Inc.

Overige kenmerken

Editie
New edition
Extra groot lettertype
Nee
Product breedte
165 mm
Product hoogte
19 mm
Product lengte
241 mm
Studieboek
Ja
Verpakking breedte
155 mm
Verpakking hoogte
27 mm
Verpakking lengte
233 mm
Verpakkingsgewicht
811 g

EAN

EAN
9780486658124

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