This book aims to make the subject of geometry and its applications understandable to first year students majoring in architecture, design, or the liberal arts. It can also be used to teach students at different levels of computational ability, and there is sufficient novel material to interest students of mathematics or engineering keen in improving their visual understanding. While the book rigorously develops the subject of geometry, it also goes deeply into the applications of the subject and contains much introductory material of which the student may not be knowledgeable. The constructive approach, using compass and straightedge, engages students not just on an intellectual level, but also at a tactile level. This may be the only rigorous book on geometry that attempts to reach students outside of the discipline of mathematics. Contents: The Origin of Geometry in Design A Constructive Approach to the Pythagorean Theorem Lines and Pixels Compass and Straightedge Constructions Congruent Triangles and Trigonometry The Art of Proof Parallel Lines and Bracing of Frameworks Perpendicular Lines and Vornoi Domains Doing Algebra with Geometry Areas, Vectors and Geoboards From Right Triangles to Logarithmic Spirals The Golden and Silver Means Transformational Geometry and Isometries Kaleidoscope and Frieze Symmetry An Introduction to Symmetry Groups Fractals, Isometries and Matrices Thirteen Fundamental Constructions of Projective Geometry Readership: Undergraduate students of any discipline interested in improving their visual understanding in geometry.
- ISBN: 978-981-4556-70-5
- Editorial: World Scientific
- Encuadernacion: Tela
- Páginas: 316
- Fecha Publicación: 15/07/2014
- Nº Volúmenes: 1
- Idioma: