Modern Geometry

ISBN-10: 0534365507
ISBN-13: 9780534365509
Edition: 2002
Authors: David A. Thomas
List price: $254.95
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Description: MODERN GEOMETRY was written to provide undergraduate and graduate level mathematics education students with an introduction to both Euclidean and non-Euclidean geometries, appropriate to their needs as future junior and senior high school  More...

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Book details

List price: $254.95
Copyright year: 2002
Publisher: Brooks/Cole
Publication date: 9/4/2001
Binding: Mixed Media
Pages: 320
Size: 7.50" wide x 9.25" long x 0.75" tall
Weight: 1.870
Language: English

MODERN GEOMETRY was written to provide undergraduate and graduate level mathematics education students with an introduction to both Euclidean and non-Euclidean geometries, appropriate to their needs as future junior and senior high school mathematics teachers. MODERN GEOMETRY provides a systematic survey of Euclidean, hyperbolic, transformation, fractal, and projective geometries. This approach is consistent with the recommendations of the National Council of Teachers of Mathematics (NCTM), the International Society for Technology in Education (ISTE), and other professional organizations active in the preparation and continuing professional development of K-12 mathematics teachers.

Geometry Through the Ages
Greek Geometry Before Euclid
Euclid and the Elements
Neutral Geometry
Famous Open Problems in Geometry
References and Suggested Readings
Topics in Euclidean Geometry
Elementary Constructions
Exploring Relationships Between Objects
Formal Geometric Proof
References and Suggested Readings
Other Geometries
The Concept of Parallelism
Points, Lines, and Curves in Poincare's Model of Hyperbolic Space
Polygons in Hyperbolic Space
Congruence in Hyperbolic Space
References and Suggested Readings
Transformation Geometry
An Analytic Model of the Euclidean Plane
Representing Linear Transformations in 2-Space with Matrices
The Direct Isometries: Translations and Rotations
Indirect Isometries: Reflections
Composition and Analysis of Transformations
Other Linear Transformations
References and Suggested Readings
Fractal Geometry
Introduction to Self-Similarity
Fractal Dimension
Iterated Function Systems
From Order to Chaos
The Mandelbrot Set
References and Suggested Readings
Projective Geometry
Elements of Perspective Drawing
Introduction to Projective Geometry
The Cross Ratio
Applications of the Cross Ratio
Matrix Methods for 3-Point Perspective Transformations
Applications of Geometry in Remote Sensing
Applications of Geometry in Terrain Rendering
References and Suggested Readings
Index

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