Elementary Geometry from an Advanced Standpoint

ISBN-10: 0201508672

ISBN-13: 9780201508673

Edition: 3rd 1990

Authors: Edwin E. Moise
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Book details

List price: $117.80
Edition: 3rd
Copyright year: 1990
Publisher: Addison Wesley
Publication date: 1/1/1990
Binding: Paperback
Pages: 502
Size: 6.75" wide x 9.75" long x 1.00" tall
Weight: 1.738
Language: English

Edwin E. Moise is Professor of History, Clemson University.

The Algebra of the Real Numbers
Incidence Geometry in Planes and Space
Distance and Congruence
Separation in Planes and Space
Angular Measure
Congruences between Triangles
Geometric Inequalities
The Euclidean Program: Congruence without Distance
Three Geometries
Absolute Plane Geometry
The Parallel Postulate and Parallel Projection
Similarities Between Triangles
Polygonal Regions and Their Areas
The Construction of an Area Function
Perpendicular Lines and Planes in Space
Circles and Spheres
Cartesian Coordinate Systems
Rigid Motion
Constructions with Ruler and Compass
From Eudoxus to Dedekind
Length and Plane Area
Jordan Measure in the Plane
Solid Mensuration: The Elementary Theory
Hyperbolic Geometry
The Consistency of the Hyperbolic Postulates
The Consistency of Euclidean Geometry
The Postulation Method
The Theory of Numbers
The Theory of Equations
Limits of Sequences
Countable and Uncountable Sets
An Ordered Field Which Is Euclidean But Not Archimedean
Index
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