Viewpoints (eBook)

Mathematical Perspective and Fractal Geometry in Art

Marc Frantz, Annalisa Crannell (Autoren)

eBook Download: EPUB

2011
248 Seiten
Princeton University Press (Verlag)
978-1-4008-3905-6 (ISBN)

Infos

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)

Autor

Marc Frantz holds a BFA in painting from the Herron School of Art and an MS in mathematics from Purdue University. He teaches mathematics at Indiana University, Bloomington where he is a research associate. Annalisa Crannell is professor of mathematics at Franklin & Marshall College. She is the coauthor of Writing Projects for Mathematics Courses.

Produkt-Details

• Erscheint lt. Verlag: 5.7.2011
• Zusatzinfo: 12 color illus. 50 halftones. 150 line illus.
• Verlagsort: Princeton
• Sprache: englisch
• Themenwelt: Kunst / Musik / Theater ► Allgemeines / Lexika
• Themenwelt: Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• Themenwelt: Technik
• Schlagworte: Addition • Advertising • Alfred Hitchcock • algorithmic art • anamorphosis • Ansel Adams • Art Director • art school • Assisi • Barbara Edwards (meteorologist) • Benoit Mandelbrot • Body Proportions • Cardinal Stritch University • Collage • Computer Scientist • coordinate system • Curriculum • David Hockney • DC Comics • diagonal • diagram • Diagram (category theory) • DIAMETER • Dick Termes • Dimension • Dolly zoom • drawing • equilateral triangle • Face diagonal • Fallingwater • Fine Art • Follow-up • Fractal • fractal dimension • Frank Lloyd Wright • Geometric Shape • Geometry • Georges Seurat • graph paper • horizontal plane • Illustration • Illustrator • Iterated function system • Iteration • Line segment • logarithm • Masking Tape • Mathematical Optimization • mathematician • Mathematics • M. C. Escher • Measurement • Movie camera • National Science Foundation • Natural number • optimization problem • Paragraph • Pedagogy • Pennsylvania Academy of the Fine Arts • Perspective (graphical) • Photograph • photography • picture plane • printmaking • Proportion (architecture) • protractor • rectangle • Rendering (computer graphics) • Requirement • Reverse perspective • Right triangle • Ruler • Self-similarity • semicircle • Shower • Sign (mathematics) • Similitude (model) • Special case • special effect • spirograph • straightedge • Subset • Suggestion • syracuse university • Telescoping series • Textbook • The Fractal Geometry of Nature • Theorem • Three circles • travelling salesman problem • Unit square • Vanishing Point • ViewPoints • visual arts • washing • watercolor painting • work of art • Writing • Yardstick • Zooming (filmmaking)
• ISBN-10: 1-4008-3905-X / 140083905X
• ISBN-13: 978-1-4008-3905-6 / 9781400839056