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Crannell, Annalisa / Frantz, Marc / Futamura, Fumiko

Perspective and Projective Geometry


    204,95 € / $234.50 / £181.00*

    eBook (PDF)
    Publication Date:
    Copyright year:
    To be published:
    October 2019
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    Aims and Scope

    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)


    240 pages
    152 b/w illus. 1 table. 152 Fig. 1 Tables
    Type of Publication:
    Specialist Text
    Professional and scholarly;College/higher education;

    More ...

    Annalisa Crannell, Franklin & Marshall College; Marc Frantz, Indiana University; Fumiko Futamura, Southwestern University.


    "Offering a plethora of discussion starters, conjecture catalysts, and exercises, Perspective and Projective Geometry invites students to connect math with art and aesthetics. It pulls no punches with respect to the rigor of the mathematics. But it also gives newer math students the necessary tools to engage with the material and discover knowledge for themselves."—Evelyn Lamb, blogger for Scientific American

    "For years, Annalisa Crannell has brought her insights and excitement for perspective, both in geometry and art, to her teaching, writing, and workshops. Now, with coauthors Mark Frantz and Fumiko Futamura, she has produced a superb textbook on this subject, ideal for classes or self-study.”—Thomas Banchoff, former president of the Mathematical Association of America

    “From Menelaus and elations to window taping and writing mathematics, this book provides a delightful mesh of classical geometry, perspective in art, beautiful graphics, and an exploratorium of exercises. Perspective and Projective Geometry is enjoyable reading and a valuable textbook for a variety of courses.”—Doug Norton, Villanova University

    "Filled with ideas for rich and highly original classroom activities, Perspective and Projective Geometry guides students to make deep connections to the geometry in art. It is wholly different than any other textbook I’ve seen on projective geometry."—Jessica Sidman, Mount Holyoke College

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