Description
This unique textbook combines traditional geometry presents a contemporary approach that is grounded in real-world applications. It balances the deductive approach with discovery learning, introduces axiomatic, Euclidean and non-Euclidean, and transformational geometry. The text integrates applications and examples throughout. The Third Edition offers many updates, including expaning on historical notes, Geometry and Its Applications is a significant text for any college or university that focuses on geometry's usefulness in other disciplines. It is especially appropriate for engineering and science majors, as well as future mathematics teachers.
Table of Contents
Chapter 1
The Axiomatic Method in Geometry
Chapter 2
The Eucidean Heritage
Chapter 3
Non-Euclidean Geometry
Chapter 4
Transformation Geometry I: Isometries
Chapter 5
Vectors in Geometry
Chapter 6
Transformation Geometry II: Isometries and Matrices
Chapter 7
Transformation Geometry III: Similarity, Inversion and Projections
Chapter 8
Graphs, Maps and Polyhedra
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