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Perspective and Projective Geometry

โœ Scribed by Annalisa Crannell, Marc Frantz, Fumiko Futamura


Publisher
Princeton Univ Press
Year
2019
Tongue
English
Leaves
292
Category
Library

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โœฆ Synopsis


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 studentsย’ analytical abilities. An electronic instructorย’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.

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

โœฆ Table of Contents


Cover
PERSPECTIVE AND PROJECTIVE GEOMETRY
Copyright
Contents
0 Introduction and First Action
1 Window Taping.

The After Math
2 Drawing ART
3 Whatโ€™s the Image of a Line?
4 The Geometry of R2 and R3
5 Extended Euclidean Space.
To Infinity and Beyond
6 Of Meshes and Maps
7 Desarguesโ€™s Theorem
8 Collineations
9 Dynamic Cubes and Viewing Distance
10 Drawing Boxes and Cubes in Two-Point
Perspective
11 Perspective by the Numbers
12 Coordinate Geometry
13 The Shape of Extended Space
Appendix G
Introduction to GEOGEBRA
Appendix R
Reference Manual
Appendix W
Writing Mathematical Prose
Acknowledgments
Bibliography
Index


๐Ÿ“œ SIMILAR VOLUMES


Perspective and projective geometry
โœ Crannell, Annalisa; Frantz, Marc; Futamura, Fumiko ๐Ÿ“‚ Library ๐Ÿ“… 2019 ๐Ÿ› Princeton University Press ๐ŸŒ 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
โœ Crannell, Annalisa; Frantz, Marc; Futamura, Fumiko ๐Ÿ“‚ Library ๐Ÿ“… 2019 ๐Ÿ› Princeton University Press ๐ŸŒ 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
โœ Annalisa Crannell; Marc Frantz; Fumiko Futamura ๐Ÿ“‚ Library ๐Ÿ“… 2019 ๐Ÿ› Princeton University Press ๐ŸŒ English

<p>An inquiry based approach to learning the connections between geometry and art.</p> <p><u><b>Note:</b></u> This is a simultaneous release.</p> <p>Through a unique approach combining art and mathematics, <em>Perspective and Projective Geometry</em> introduces students to the ways that projective g

Perspectives on Projective Geometry: A G
โœ Jรผrgen Richter-Gebert (auth.) ๐Ÿ“‚ Library ๐Ÿ“… 2011 ๐Ÿ› Springer-Verlag Berlin Heidelberg ๐ŸŒ 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
โœ Jรผrgen Richter-Gebert (auth.) ๐Ÿ“‚ Library ๐Ÿ“… 2011 ๐Ÿ› Springer-Verlag Berlin Heidelberg ๐ŸŒ 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
โœ Jรผrgen Richter-Gebert (auth.) ๐Ÿ“‚ Library ๐Ÿ“… 2011 ๐Ÿ› Springer-Verlag Berlin Heidelberg ๐ŸŒ 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