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1 Beaverton Mathematics- Geometry and Trigonometry

Geometry: A Comprehensive Course

by

Geometry: A Comprehensive Course Cover

 

Synopses & Reviews

Publisher Comments:

"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.

Synopsis:

Introduction to vector algebra in the plane; circles and coaxial systems; mappings of the Euclidean plane; similitudes, isometries, Moebius transformations, much more. Includes over 500 exercises.

Synopsis:

Lucid, well-written introduction to elementary geometry usually included in undergraduate and first-year graduate courses in mathematics. Topics include vector algebra in the plane, circles and coaxial systems, mappings of the Euclidean plane, similitudes, isometries, mappings of the intensive plane, much more. Includes over 500 exercises.

Product Details

ISBN:
9780486658124
Author:
Pedoe, Dan
Author:
Pedoe, Daniel
Author:
Mathe
Author:
Mathematics
Author:
matics
Publisher:
Dover Publications
Location:
New York :
Subject:
Geometry - General
Subject:
Geometry
Subject:
Problems, exercises, etc.
Subject:
General Mathematics
Subject:
Mathematics-Geometry and Trigonometry
Subject:
College Geometry
Subject:
Euclidean Geometry
Subject:
Worked examples ingeometry
Copyright:
Edition Description:
Trade Paper
Series:
Dover Books on Mathematics
Series Volume:
no. 157
Publication Date:
19881231
Binding:
TRADE PAPER
Grade Level:
General/trade
Language:
English
Illustrations:
Yes
Pages:
464
Dimensions:
9.25 x 6.5 in 1.4 lb

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Related Subjects


Science and Mathematics » Chemistry » Physical Chemistry
Science and Mathematics » Mathematics » Calculus » Precalculus
Science and Mathematics » Mathematics » Differential Equations
Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Geometry » General
Science and Mathematics » Mathematics » Geometry » Geometry and Trigonometry
Science and Mathematics » Mathematics » Topology

Geometry: A Comprehensive Course Used Trade Paper
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$9.95 In Stock
Product details 464 pages Dover Publications - English 9780486658124 Reviews:
"Synopsis" by ,
Introduction to vector algebra in the plane; circles and coaxial systems; mappings of the Euclidean plane; similitudes, isometries, Moebius transformations, much more. Includes over 500 exercises.
"Synopsis" by ,
Lucid, well-written introduction to elementary geometry usually included in undergraduate and first-year graduate courses in mathematics. Topics include vector algebra in the plane, circles and coaxial systems, mappings of the Euclidean plane, similitudes, isometries, mappings of the intensive plane, much more. Includes over 500 exercises.
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