Addison-Wesley / Prentice Hall
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Modern Geometries: Non-Euclidean, Projective, and Discrete Geometry, 2/E
ISBN-10: 0130323136
ISBN-13: 9780130323132
Publisher: Pearson
Copyright: 2001
Format: Paper; 389 pp
Published: 01/12/2001
Status: Instock
For sophomore/senior-level courses in Geometry.
Engaging and accessible, this text describes geometry as it is understood and used by contemporary mathematicians and theoretical scientists. Basically a non-Euclidean geometry book, it provides a brief, but solid, introduction to modern geometry using analytic methods. It relates geometry to familiar ideas from analytic geometry, staying firmly in the Cartesian plane and building on skills already known and extensively practiced there. It uses the principle geometric concept of congruence or geometric transformation--introducing and using the Erlanger Program explicitly throughout.
Reflects a major theme in modern geometry. Ex.___
Gives students a comprehensive understanding of geometry. Ex.___
Demonstrates how axiomatics can clarify logical relationships among geometric concepts and among different geometries. Ex.___
Enables instructors to construct a wide variety of different courses. Material from the independent Parts can be added to a syllabus, depending on the time available, and the interests of the instructor and students. Ex.___
Makes content accessible at the undergraduate level. Ex.___
Test students' immediate understanding of topics under discussion to encourages active reading of the text. Ex.___
Provides a chance to test students' understanding. Ex.___
Gives examples of the kinds of geometry particularly important in the contemporary computer age. Ex.___
Illustrates connections between geometry and art. Ex.___
Gives examples of the kinds of geometry particularly important in the contemporary computer age. Ex.___
Dependency Chart.
Introduction.
I. BACKGROUND.
II. PLANE GEOMETRY.
III. PROJECTIVE GEOMETRY.
IV. SOLID GEOMETRY.
V. DISCRETE GEOMETRY.
VI. AXIOM SYSTEMS.
VII. CONCLUSION.
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