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Modern Geometry

Modern Geometry Cover

ISBN13: 9780534365509
ISBN10: 0534365507
All Product Details

 

Synopses & Reviews

Publisher Comments:

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 News Annotation:

A textbook for graduate and undergraduate mathematics education students who will teach junior and senior high school mathematics. It introduces both Euclidean and non-Euclidean geometry in a manner consistent with the recommendations of the National Council of Teachers of Mathematics, the International Society for Technology in Education, and other professional organizations. The disk contains software for manipulating figures.
Annotation c. Book News, Inc., Portland, OR (booknews.com)

Synopsis:

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.

Synopsis:

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.

About the Author

Professor of Mathematics at Montana State University. Nationally known in the field of Geometry.

Table of Contents

1. Geometry Through the Ages. Greek Geometry Before Euclid. Euclid and the Elements. Neutral Geometry. Famous Open Problems in Geometry. 2. Topics in Euclidean Geometry. Elementary Constructions. Exploring Relationships Between Objects. Formal Geometric Proof. 3. Other Geometries. The Concept of Parallelism. Points, Lines, and Curves in Poincares Model of Hyperbolic Space. Polygons in Hyberbolic Space. 4. 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. 5. Fractal Geometry. Introduction to Self-similarity. Fractal Dimension. Iterated Function Systems. From Order to Chaos. The Mandelbrot Set. 6. 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. Index.

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sapugahan, February 20, 2010 (view all comments by sapugahan)
the powell's books is very comprehensive
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Product Details

ISBN:
9780534365509
Publisher:
Cengage Learning
Location:
Pacific Grove, CA
Author:
Thomas, David A.
Author:
Thomas, David A.(David A. Thomas)
Subject:
Geometry - General
Subject:
Geometry
Subject:
Advanced
Subject:
Mathematics-Geometry and Trigonometry
Subject:
General Mathematics
Copyright:
Edition Description:
Includes bibliographical references and index.
Series Volume:
v. 20
Publication Date:
September 2001
Binding:
Hardback
Grade Level:
College/higher education:
Language:
English
Illustrations:
Yes
Pages:
368
Dimensions:
1.62 in.

Related Subjects


Science and Mathematics » Mathematics » Geometry » General
Science and Mathematics » Mathematics » Geometry » Geometry and Trigonometry

Modern Geometry
0 stars - 0 reviews
$ In Stock
Product details 368 pages Thomson Brooks/Cole - English 9780534365509 Reviews:
"Synopsis" by , 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.
"Synopsis" by , 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.
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