Central Library

Normal view MARC view ISBD view

Perspective and projective geometry / Annalisa Crannell, Marc Frantz, and Fumiko Futamura.

By: Crannell, Annalisa [author.].
Contributor(s): Frantz, Marc, 1951- [author.] | Futamura, Fumiko [author.].
Material type: materialTypeLabelBookPublisher: Princeton, New Jersey : Princeton University Press, [2019]Copyright date: �2019Description: 1 online resource (vii, 280 pages) : illustrations.Content type: text Media type: computer Carrier type: online resourceISBN: 9780691197388; 0691197385.Subject(s): Art -- Mathematics | Geometry, Projective | Geometry in art | Perspective | G�eom�etrie projective | G�eom�etrie dans l'art | Perspective | linear perspective (technique) | perspective (technique) | MATHEMATICS -- Geometry -- General | Art -- Mathematics | Geometry in art | Geometry, Projective | PerspectiveGenre/Form: Electronic books.Additional physical formats: Print version:: Perspective and projective geometry.DDC classification: 516.5 Online resources: Click here to access online
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 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.
Summary: 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).
    average rating: 0.0 (0 votes)
No physical items for this record

Includes bibliographical references and index.

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).

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 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.

Online resource, title from PDF title page (JSTOR, viewed on September 24, 2020).

IEEE IEEE Xplore Princeton University Press eBooks Library

There are no comments for this item.

Log in to your account to post a comment.