Inhalt: | The axiomatic method in geometry -- The Euclidean heritage -- Non-Euclidean geometry -- Transformation geometry 1. Isometries and symmetries -- Vectors in geometry -- Transformation geometry 2. Isometries and matrices -- Transformation geometry 3. Similarity, inversion, and projection -- Graphs, maps, and polyhedra 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 |
