Geometry: A Comprehensive Course (Dover Books on Mathematics) - Softcover

Buch 175 von 303: Dover Books on Mathematics

Pedoe, Dan

 
9780486658124: Geometry: A Comprehensive Course (Dover Books on Mathematics)
Softcover
ISBN 10: 0486658120 ISBN 13: 9780486658124
Verlag: Dover Publications Inc., 1988

Inhaltsangabe

"A lucid and masterly survey." — Mathematics Gazette
Professor 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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Verlag
Dover Publications Inc.
Erscheinungsdatum
1988
Sprache
Englisch
ISBN 10 
0486658120
ISBN 13 
9780486658124
Einband
Taschenbuch
Anzahl der Seiten
464
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
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