Perspective and Projective Geometry

Regular price €121.99
A01=Annalisa Crannell
A01=Fumiko Futamura
A01=Marc Frantz
Age Group_Uncategorized
Age Group_Uncategorized
Author_Annalisa Crannell
Author_Fumiko Futamura
Author_Marc Frantz
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Cartesian coordinate system
Casey's theorem
Category1=Non-Fiction
Category=PBM
Ceva's theorem
Circumference
Collinearity
Collineation
Complex plane
Congruence (geometry)
Coordinate space
Coordinate system
COP=United States
Counterexample
Cross product
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Desargues's theorem
Diagonal
Diagram (category theory)
Diameter
Dimension
Dot product
Drawing
eq_isMigrated=2
Equation
Equilateral triangle
Euclidean geometry
Euclidean space
Four color theorem
Function (mathematics)
Geometric mean
Geometry
Glide reflection
Graphics
Ideal point
Illustration
Image map
Image plane
Internal and external angles
Intersection (set theory)
Language_English
Line segment
Line–line intersection
Mathematician
Mathematics
Menelaus' theorem
Multiview orthographic projection
Notation
Orientability
Orthogonality
PA=Available
Parallel postulate
Perspective (graphical)
Picture plane
Playfair's axiom
Point at infinity
Polygon
Price_€100 and above
Projective geometry
Projective line
Projective plane
Projective space
PS=Active
Real projective space
Rectangle
Right angle
Scatter plot
Similarity (geometry)
softlaunch
Subset
Summation
Tangent space
Theorem
Three-dimensional space (mathematics)
Topology
Transversal (geometry)
Two-dimensional space
Vanishing point
Variable (mathematics)
Vector space

Product details

  • ISBN 9780691196558
  • Dimensions: 216 x 279mm
  • Publication Date: 10 Dec 2019
  • Publisher: Princeton University Press
  • Publication City/Country: US
  • Product Form: Hardback
  • Language: English
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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)

Annalisa Crannell is professor of mathematics at Franklin & Marshall College. Marc Frantz is a research associate in mathematics at Indiana University. He holds a BFA in painting from the Herron School of Art and an MS in mathematics from Purdue University. Fumiko Futamura is professor of mathematics at Southwestern University and is an artist. Frantz and Crannell are the coauthors of Viewpoints: Mathematical Perspective and Fractal Geometry in Art (Princeton).