Perspective and Projective Geometry

Perspective and Projective Geometry combines art and mathematics to teach students how projective geometry applies to perspective art. It features computer-based GeoGebra modules and hands-on exercises, with visual examples, math and art puzzles, and proofs with real-world applications. It is suitable for college students majoring in mathematics, computer science, and art, and has an electronic instructors manual.

Format: Paperback / softback
Length: 296 pages
Publication date: 10 December 2019
Publisher: Princeton University Press

Through a unique approach combining art and mathematics, Perspective and Projective Geometry presents students with an insightful exploration of the applications of projective geometry in the realm of perspective art. Geometry, akin to mathematics as a whole, serves as a valuable and meaningful framework for comprehending the visual world. By examining pencil-and-paper drawings, photographs, Renaissance paintings, and GeoGebra constructions, this textbook equips students with the geometric tools necessary to project a three-dimensional scene onto two dimensions.

Organized into a series of engaging exercise modules, this book fosters learning through hands-on inquiry and active participation. Each lesson begins with a visual puzzle that invites students to investigate it through the lens of geometry, followed by exercises that reinforce new concepts and sharpen students' analytical skills. An electronic instructors manual, exclusively available to teachers, provides sample syllabi, guidance, and suggestions, including pacing and grading rubrics for art projects.

By drawing vital interdisciplinary connections between art and mathematics, Perspective and Projective Geometry emerges as an ideal textbook for undergraduate students with a passion for mathematics or computer graphics, as well as for mathematically inclined students pursuing architecture or art.

Key Features:

Computer-Based GeoGebra Modules: The book incorporates computer-based GeoGebra modules, providing students with interactive and visual tools for exploring geometric concepts. These modules enhance the learning experience and facilitate a deeper understanding of the subject matter.

Hands-On Exercises: Engaging and practical exercises are incorporated throughout the book, allowing students to apply the learned concepts and techniques in real-world scenarios. These exercises promote active learning and help students develop their problem-solving skills.

Ample Visual Examples: Visual examples, including diagrams, illustrations, and photographs, are provided to complement the text and enhance students' understanding of geometric principles. These visual aids make the material more accessible and engaging.

Math and Art Puzzles: Math and art puzzles are included in each chapter to challenge students' analytical thinking and creativity. These puzzles provide a fun and engaging way to reinforce the concepts discussed in the text.

Real-World Applications: The book incorporates real-world applications of projective geometry, showcasing its practical significance in various fields such as architecture, computer graphics, and art. This connection helps students see the broader applications of the subject matter.

Suitable for College Students: Perspective and Projective Geometry is designed to cater to college students majoring in mathematics, computer science, and art. Its comprehensive coverage and interdisciplinary approach make it an invaluable resource for students seeking to deepen their understanding of both art and mathematics.

Electronic Instructors Manual (Available Only to Teachers): An electronic instructors manual is provided exclusively to teachers. It offers comprehensive guidance, sample syllabi, and teaching resources, including pacing and grading rubrics for art projects. This manual enhances the teaching experience and supports teachers in effectively implementing the textbook in their classrooms.

In conclusion, Perspective and Projective Geometry offers a groundbreaking approach to teaching art and mathematics, fostering a deep understanding of the visual world through the lens of geometry. By combining hands-on exercises, visual examples, and real-world applications, this textbook equips students with the necessary skills and knowledge to excel in mathematics, computer graphics, and art. Whether you are a student seeking to explore the intersection of these disciplines or a teacher looking to enhance your teaching approach, Perspective and Projective Geometry is a must-have resource for anyone interested in the captivating world of perspective and projective geometry.

Weight: 836g
Dimension: 278 x 216 x 17 (mm)
ISBN-13: 9780691196565