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Perspective and Projective Geometry

✍ Scribed by Annalisa Crannell; Marc Frantz; Fumiko Futamura


Publisher
Princeton University Press
Year
2019
Tongue
English
Leaves
290
Category
Library

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✦ Synopsis


An inquiry based approach to learning the connections between geometry and art.

Note: This is a simultaneous release.

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, students learn 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 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 science, 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.

Β· Features computer-based GeoGebra modules and hands-on exercises
Β· Contains ample visual examples, math and art puzzles, and proofs with real-world applications
Β· Suitable for college students majoring in mathematics, computer science, and fine art
Β· Instructor’s manual (available only to teachers)


πŸ“œ SIMILAR VOLUMES


Perspective and Projective Geometry
✍ Annalisa Crannell, Marc Frantz, Fumiko Futamura πŸ“‚ Library πŸ“… 2019 πŸ› Princeton Univ Press 🌐 English

<p>Through a unique approach combining art and mathematics, <i>Perspective and Projective Geometry</i> 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. E

Perspective and projective geometry
✍ Crannell, Annalisa; Frantz, Marc; Futamura, Fumiko πŸ“‚ Library πŸ“… 2019 πŸ› Princeton University Press 🌐 English

Frontmatter -- Contents -- 0. Introduction and First Action -- 1. Window Taping -- 2. Drawing ART -- 3. What's the Image of a Line? -- 4. The Geometry of R2 and R3 -- 5. Extended Euclidean Space -- 6. Of Meshes and Maps -- 7. Desargues's Theorem -- 8. Collineations -- 9. Dynamic Cubes and Viewing Di

Perspective and projective geometry
✍ Crannell, Annalisa; Frantz, Marc; Futamura, Fumiko πŸ“‚ Library πŸ“… 2019 πŸ› Princeton University Press 🌐 English

Frontmatter -- Contents -- 0. Introduction and First Action -- 1. Window Taping -- 2. Drawing ART -- 3. What's the Image of a Line? -- 4. The Geometry of R2 and R3 -- 5. Extended Euclidean Space -- 6. Of Meshes and Maps -- 7. Desargues's Theorem -- 8. Collineations -- 9. Dynamic Cubes and Viewing Di

Perspectives on Projective Geometry: A G
✍ JΓΌrgen Richter-Gebert (auth.) πŸ“‚ Library πŸ“… 2011 πŸ› Springer-Verlag Berlin Heidelberg 🌐 English

<p><p>Projective geometry is one of the most fundamental and at the same time most beautiful branches of geometry. It can be considered the common foundation of many other geometric disciplines like Euclidean geometry, hyperbolic and elliptic geometry or even relativistic space-time geometry. This b

Perspectives on Projective Geometry: A G
✍ JΓΌrgen Richter-Gebert (auth.) πŸ“‚ Library πŸ“… 2011 πŸ› Springer-Verlag Berlin Heidelberg 🌐 English

<p><p>Projective geometry is one of the most fundamental and at the same time most beautiful branches of geometry. It can be considered the common foundation of many other geometric disciplines like Euclidean geometry, hyperbolic and elliptic geometry or even relativistic space-time geometry. This b

Perspectives on Projective Geometry: A G
✍ JΓΌrgen Richter-Gebert (auth.) πŸ“‚ Library πŸ“… 2011 πŸ› Springer-Verlag Berlin Heidelberg 🌐 English

<p><p>Projective geometry is one of the most fundamental and at the same time most beautiful branches of geometry. It can be considered the common foundation of many other geometric disciplines like Euclidean geometry, hyperbolic and elliptic geometry or even relativistic space-time geometry. This b