Modern Geometry

Name: Modern Geometry
Price: 5.7 USD
Availability: InStock
ISBN: 9780534365509

ISBN-10: 0534365507

ISBN-13: 9780534365509

Edition: 2002

Authors: David A. Thomas

List price: $254.95

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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.

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: 1.628
Language: English




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