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Perspective and Projective Geometry

Marc Frantz, Fumiko Futamura, Annalisa Crannell, et al.

PDF
ca. 47,99
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Princeton University Press img Link Publisher

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)

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Annalisa Crannell

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Schlagwörter

Coordinate system, Polygon, Determinant, Internal and external angles, Computation, Picture plane, Illustration, Subset, Notation, Projective line, Euclidean geometry, Menelaus' theorem, Projective space, Betweenness, Circumference, Similarity (geometry), Multiview orthographic projection, Scatter plot, Variable (mathematics), Intersection (set theory), Rectangle, Playfair's axiom, Equation, Three-dimensional space (mathematics), Diameter, Function (mathematics), Tangent space, Counterexample, Euclidean space, Congruence (geometry), Diagram (category theory), Coordinate space, Perpendicular, Summation, Perspective (graphical), Measurement, Drawing, Linear algebra, Projective plane, Cross-cap, Parity (mathematics), Analogy, Geometry, Horizontal plane, Collineation, Protractor, Unit vector, Shading, Homogeneous coordinates, Dimension, Point at infinity, Ceva's theorem, Glide reflection, Casey's theorem, Ideal point, Number line, Orthogonality, Vanishing point, Linear independence, Mathematics, Cross product, Graphics, Projective geometry, Concentric, Desargues's theorem, Conjecture, Orientability, Embedding, Ruler, Semicircle, Perspectivity, Image plane, Parallelogram, Complex plane, Right angle, Collinearity, Real projective space, Antipodal point, Axiom, Equilateral triangle, Mathematical proof, Mathematician, Line–line intersection, Theorem, Two-dimensional space, Dot product, Multivariable calculus, Transversal (geometry), Topology, Vector space, Colored pencil, Diagonal, Parallel postulate, Variable (computer science), Line segment, Image map, Four color theorem, Cartesian coordinate system, Art director, Geometric mean