Includes bibliographical references (p. 459-461) and index.
Meyer's Geometry and Its Applications, Second Edition, combines traditional geometry with current ideas to present a modern approach that is grounded in real-world applications. It balances the deductive approach with discovery learning, and introduces axiomatic, Euclidean geometry, non-Euclidean geometry, and transformational geometry. The text integrates applications and examples throughout and includes historical notes in many chapters. The Second Edition of 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. * Realistic applications integrated throughout the text, including (but not limited to): - Symmetries of artistic patterns - Physics - Robotics - Computer vision - Computer graphics - Stability of architectural structures - Molecular biology - Medicine - Pattern recognition * Historical notes included in many chapters * Instructor's Manual with solutions available for all adopters of the text.
1. The Axiomatic Method in Geometry -- 2. The Euclidean Heritage -- 3. Non-Euclidean Geometry -- 4. Transformation Geometry I: Isometries and Symmetries -- 5. Vectors in Geometry -- 6. Transformation Geometry II: Isometries and Matrices -- 7. Transformation Geometry III: Similarity, Inversion and Projection -- 8. Graphs, Maps and Polyhedra -- Answers to Odd-Numbered Exercises.