Perspective and Projective Geometry
eBook - PDF

Perspective and Projective Geometry

  1. 296 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Perspective and Projective Geometry

About this book

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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Yes, you can access Perspective and Projective Geometry by Annalisa Crannell,Marc Frantz,Fumiko Futamura in PDF and/or ePUB format, as well as other popular books in Mathematics & Geometry. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Contents
  3. 0. Introduction and First Action
  4. 1. Window Taping: The After Math
  5. 2. Drawing ART
  6. 3. What’s the Image of a Line?
  7. 4. The Geometry of R2 and R3
  8. 5. Extended Euclidean Space: To Infinity and Beyond
  9. 6. Of Meshes and Maps
  10. 7. Desargues’s Theorem
  11. 8. Collineations
  12. 9. Dynamic Cubes and Viewing Distance
  13. 10. Drawing Boxes and Cubes in Two-Point Perspective
  14. 11. Perspective by the Numbers
  15. 12. Coordinate Geometry
  16. 13. The Shape of Extended Space
  17. Appendix G. Introduction to GEOGEBRA
  18. Appendix R. Reference Manual
  19. Appendix W. Writing Mathematical Prose
  20. Acknowledgments
  21. Bibliography
  22. Index