Perspective and Projective Geometry (eBook)

Annalisa Crannell, Marc Frantz, Fumiko Futamura (Autoren)

eBook Download: PDF

2019
296 Seiten
Princeton University Press (Verlag)
978-0-691-19738-8 (ISBN)

Infos

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 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)

Autor

Annalisa Crannell is professor of mathematics at Franklin & Marshall College. Marc Frantz holds a BFA in painting from the Herron School of Art and an MS in mathematics from Purdue University. He is a research associate in mathematics at Indiana 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).

Produkt-Details

• Erscheint lt. Verlag: 10.12.2019
• Zusatzinfo: 152 b/w illus. 1 table.
• Verlagsort: Princeton
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• Schlagworte: Analogy • Antipodal point • Art Director • Axiom • betweenness • Cartesian coordinate system • Casey's theorem • Ceva's theorem • circumference • collinearity • Collineation • colored pencil • complex plane • Computation • Concentric • Congruence (geometry) • conjecture • Coordinate space • coordinate system • counterexample • Cross-cap • Cross product • Desargues's Theorem • Determinant • diagonal • Diagram (category theory) • DIAMETER • Dimension • dot product • drawing • Embedding • Equation • equilateral triangle • Euclidean Geometry • Euclidean space • Four Color Theorem • Function (mathematics) • geometric mean • Geometry • Glide reflection • graphics • Homogeneous Coordinates • horizontal plane • Ideal point • Illustration • Image map • Image plane • Internal and external angles • Intersection (set theory) • linear algebra • Linear Independence • Line–line intersection • Line segment • Mathematical Proof • mathematician • Mathematics • Measurement • Menelaus' theorem • Multivariable Calculus • Multiview orthographic projection • Notation • number line • Orientability • orthogonality • parallelogram • parallel postulate • Parity (mathematics) • Perpendicular • Perspective (graphical) • Perspectivity • picture plane • Playfair's axiom • Point at infinity • Polygon • Projective Geometry • Projective line • projective plane • projective space • protractor • Real projective space • rectangle • Right angle • Ruler • Scatter plot • semicircle • Shading • Similarity (geometry) • Subset • Summation • Tangent Space • Theorem • Three-dimensional space (mathematics) • Topology • Transversal (geometry) • two-dimensional space • Unit vector • Vanishing Point • Variable (computer science) • Variable (mathematics) • Vector Space
• ISBN-10: 0-691-19738-5 / 0691197385
• ISBN-13: 978-0-691-19738-8 / 9780691197388