Viewpoints : Mathematical Perspective and Fractal Geometry in Art / Marc Frantz and Annalisa Crannell.

Format:

Book

Author/Creator:

Frantz, Marc, 1951- author.

Crannell, Annalisa, author.

Language:

English

Subjects (All):

Art--Mathematics.

Physical Description:

1 online resource (248 p.) : 12 color illus. 50 halftones. 150 line illus.

Edition:

First edition.

Place of Publication:

Princeton, New Jersey : Princeton University Press, [2011]

Language Note:

English

Summary:

An undergraduate textbook devoted exclusively to relationships between mathematics and art, Viewpoints is ideally suited for math-for-liberal-arts courses and mathematics courses for fine arts majors. The textbook contains a wide variety of classroom-tested activities and problems, a series of essays by contemporary artists written especially for the book, and a plethora of pedagogical and learning opportunities for instructors and students. Viewpoints focuses on two mathematical areas: perspective related to drawing man-made forms and fractal geometry related to drawing natural forms. Investigating facets of the three-dimensional world in order to understand mathematical concepts behind the art, the textbook explores art topics including comic, anamorphic, and classical art, as well as photography, while presenting such mathematical ideas as proportion, ratio, self-similarity, exponents, and logarithms. Straightforward problems and rewarding solutions empower students to make accurate, sophisticated drawings. Personal essays and short biographies by contemporary artists are interspersed between chapters and are accompanied by images of their work. These fine artists--who include mathematicians and scientists--examine how mathematics influences their art. Accessible to students of all levels, Viewpoints encourages experimentation and collaboration, and captures the essence of artistic and mathematical creation and discovery. Classroom-tested activities and problem solving Accessible problems that move beyond regular art school curriculum Multiple solutions of varying difficulty and applicability Appropriate for students of all mathematics and art levels Original and exclusive essays by contemporary artists Forthcoming: Instructor's manual (available only to teachers)

Contents:

Frontmatter

Contents

Preface

Acknowledgments

CHAPTER 1. Introduction to Perspective and Space Coordinates / Stone, Sherry

CHAPTER 2. Perspective by the Numbers / Galante, Peter

CHAPTER 3. Vanishing Points and Viewpoints / Rose, Jim

CHAPTER 4. Rectangles in One-Point Perspective

CHAPTER 5. Two-Point Perspective / Bosch, Robert

CHAPTER 6. Three-Point Perspective and Beyond / Termes, Dick

CHAPTER 7. Anamorphic Art

Viewpoints at the Movies: Forced Perspective and the Hitchcock Zoom

CHAPTER 8. Introduction to Fractal Geometry / Wagner, Teri

CHAPTER 9. Fractal Dimension / Mitchell, Kerry

Index

Notes:

Bibliographic Level Mode of Issuance: Monograph

Description based on online resource; title from PDF title page (publisher's Web site, viewed 26. Nov 2019)

Description based on print version record.

Includes bibliographical references and index.

ISBN:

9781400839056

140083905X

OCLC:

742333257