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Perspective and projective geometry /

Crannell, Annalisa,

Perspective and projective geometry /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Perspective and projective geometry /Annalisa Crannell, Marc Frantz, Fumiko Futamura.
Author:	Crannell, Annalisa,
other author:	Frantz, Marc,
Description:	1 online resource (291 p.)
Subject:	ArtMathematics.
Online resource:	https://portal.igpublish.com/iglibrary/search/PUPB0007166.html
ISBN:	0691197385

Perspective and projective geometry /
Crannell, Annalisa,

Perspective and projective geometry /Annalisa Crannell, Marc Frantz, Fumiko Futamura. - 1st ed. - 1 online resource (291 p.)

Includes bibliographical references and index.

Perspective and projective geometry -- Contents -- 0. Introduction and First Action -- 1. Window Taping: The After Math -- 2. Drawing ART -- 3. What’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. Desargues’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.

Access restricted to authorized users and institutions.

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. · 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 fine art· Instructor's manual (available only to teachers).

Mode of access: World Wide Web.

ISBN: 0691197385Subjects--Topical Terms:

701767
Art
--Mathematics.Index Terms--Genre/Form:

214472
Electronic books.

LC Class. No.: QA445

Dewey Class. No.: 516

Perspective and projective geometry /
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245 1 0 $a Perspective and projective geometry / $c Annalisa Crannell, Marc Frantz, Fumiko Futamura.
250 $a 1st ed.
264 1 $a Princeton : $b Princeton University Press, $c 2019.
264 4 $c ©2019
300 $a 1 online resource (291 p.)
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505 0 $a Perspective and projective geometry -- Contents -- 0. Introduction and First Action -- 1. Window Taping: The After Math -- 2. Drawing ART -- 3. What’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. Desargues’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.
506 $a Access restricted to authorized users and institutions.
520 $a 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. · 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 fine art· Instructor's manual (available only to teachers).
538 $a Mode of access: World Wide Web.
650 0 $a Art $x Mathematics. $3 701767
650 0 $a Geometry, Projective. $3 189557
650 0 $a Geometry in art. $3 278835
655 4 $a Electronic books. $2 local. $3 214472
700 1 $a Frantz, Marc, $e author. $3 869830
700 1 $a Futamura, Fumiko, $e author. $3 869831
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