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Full Description
This book aims to make the subject of geometry and its applications easy and comfortable to understand by students majoring in mathematics or the liberal arts, architecture and design. It can be used to teach students at different levels of computational ability and there is also sufficient novel material to interest students at a higher cognitive level. While the book goes deeply into the applications of geometry, it contains much introductory material which up to now may not have been known to the student. 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 offering geometry that attempts to engage students outside of the mathematics discipline.
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.
