Leseprobe
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Perspective and Projective Geometry
Marc Frantz, Fumiko Futamura, Annalisa Crannell, et al.
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Naturwissenschaften, Medizin, Informatik, Technik / Geometrie
Beschreibung
Through a unique approach combining art and mathematics, Perspective and Projective Geometry introduces students to the ways that projective geometry applies to perspective art. Geometry, like mathematics as a whole, offers a useful and meaningful lens for understanding the visual world. Exploring pencil-and-paper drawings, photographs, Renaissance paintings, and GeoGebra constructions, this textbook equips students with the geometric tools for projecting a three-dimensional scene onto two dimensions.
Organized as a series of exercise modules, this book teaches students through hands-on inquiry and participation. Each lesson begins with a visual puzzle that can be investigated through geometry, followed by exercises that reinforce new concepts and hone students’ analytical abilities. An electronic instructor’s manual available to teachers contains sample syllabi and advice, including suggestions for pacing and grading rubrics for art projects.
Drawing vital interdisciplinary connections between art and mathematics, Perspective and Projective Geometry is ideally suited for undergraduate students interested in mathematics or computer graphics, as well as for mathematically inclined students of architecture or art.
· Features computer-based GeoGebra modules and hands-on exercises
· Contains ample visual examples, math and art puzzles, and proofs with real-world applications
· Suitable for college students majoring in mathematics, computer science, and art
· Electronic instructor’s manual (available only to teachers)
Kundenbewertungen
Subset, Cartesian coordinate system, Diameter, Point at infinity, Circumference, Internal and external angles, Orthogonality, Diagonal, Orientability, Euclidean space, Equation, Glide reflection, Geometry, Projective line, Notation, Euclidean geometry, Topology, Image map, Menelaus' theorem, Desargues's theorem, Vanishing point, Scatter plot, Image plane, Mathematician, Projective geometry, Equilateral triangle, Two-dimensional space, Transversal (geometry), Dimension, Complex plane, Congruence (geometry), Ceva's theorem, Playfair's axiom, Multiview orthographic projection, Geometric mean, Counterexample, Collinearity, Projective space, Similarity (geometry), Variable (mathematics), Four color theorem, Cross product, Ideal point, Diagram (category theory), Dot product, Mathematics, Tangent space, Coordinate space, Polygon, Coordinate system, Parallel postulate, Casey's theorem, Projective plane, Three-dimensional space (mathematics), Collineation, Illustration, Right angle, Function (mathematics), Rectangle, Perspective (graphical), Summation, Vector space, Real projective space, Drawing, Line segment, Line–line intersection, Theorem, Graphics, Intersection (set theory), Picture plane