Geometry and the Visual Arts

Author: Daniel Pedoe
Publisher: Courier Corporation
ISBN: 048624458X
Release Date: 1976
Genre: Mathematics

This survey traces the effects of geometry on artistic achievement and clearly discusses its importance to artists and scientists. It also surveys projective geometry, mathematical curves, theories of perspective, architectural form, and concepts of space.

Art Geometry

Author: William Mills Ivins
Publisher: Courier Corporation
ISBN: 0486209415
Release Date: 1964
Genre: Art

An essay tracing the development of mathematical perspective and projective geometry dispels the myth of Greek cultural supremacy

Geometry at Work

Author: Catherine A. Gorini
Publisher: Cambridge University Press
ISBN: 0883851644
Release Date: 2000-10-12
Genre: Mathematics

An examination of symmetry for the interested layman.

The Gentle Art of Mathematics

Author: Daniel Pedoe
Publisher: Courier Corporation
ISBN: 0486229491
Release Date: 1958
Genre: Mathematics

Collects mathematical games that entertain and provide an introduction to advanced study

A Course in Modern Geometries

Author: Judith N. Cederberg
Publisher: Springer Science & Business Media
ISBN: 9781475738315
Release Date: 2013-03-09
Genre: Mathematics

A Course in Modern Geometries is designed for a junior-senior level course for mathematics majors, including those who plan to teach in secondary school. Chapter 1 presents several finite geometries in an axiomatic framework. Chapter 2 introduces Euclid's geometry and the basic ideas of non-Euclidean geometry. The synthetic approach of Chapters 1 - 2 is followed by the analytic treatment of transformations of the Euclidean plane in Chapter 3. Chapter 4 presents plane projective geometry both synthetically and analytically. The extensive use of matrix representations of groups of transformations in Chapters 3 - 4 reinforces ideas from linear algebra and serves as excellent preparation for a course in abstract algebra. Each chapter includes a list of suggested sources for applications and/or related topics.

Art and Geometry

Author: William M. Ivins
Publisher: Courier Corporation
ISBN: 9780486143583
Release Date: 2012-10-16
Genre: Art

This highly stimulating study observes many historical interrelationships between art and mathematics. It explores ancient and Renaissance painting and sculpture, the development of perspective, and advances in projective geometry.

Symmetry Shape and Space

Author: L.Christine Kinsey
Publisher: Springer Science & Business Media
ISBN: 1930190093
Release Date: 2006-05-09
Genre: Mathematics

This book will appeal to at least three groups of readers: prospective high school teachers, liberal arts students, and parents whose children are studying high school or college math. It is modern in its selection of topics, and in the learning models used by the authors. The book covers some exciting but non-traditional topics from the subject area of geometry. It is also intended for undergraduates and tries to engage their interest in mathematics. Many innovative pedagogical modes are used throughout.

Geometry of Design

Author: Kimberly Elam
Publisher: Princeton Architectural Press
ISBN: 1568982496
Release Date: 2001
Genre: Design

This work takes a close look at a broad range of 20th-century examples of design, architecture and illustration, revealing underlying geometric structures in their compositions.

Exploring the Math and Art Connection

Author: Daniel Jarvis
Publisher: Brush Education
ISBN: 9781550593983
Release Date: 2012
Genre: Education

Daniel Jarvis and Irene Naested highlight the natural association between math and art in a series of practical ideas for the classroom, because when students understand the math/art connection, their understanding and confidence increase in both subjects. Through innovative teaching strategies and more than 100 rich learning experiences, Jarvis and Naested give teachers a wealth of engaging tools to explore the math/art connection with their own students. This connection is established through examinations of natural and human-designed objects, from how pine cone scales spiral out in a Fibonacci sequence to how geometric shapes combine in architecture to form some of the most beautiful structures on the planet.

Mathematical footprints

Author: Theoni Pappas
Publisher: Wide World Publishing, Tetra
ISBN: PSU:000043968596
Release Date: 1999-12-01
Genre: Mathematics

This journey across the spectrum of human activities takes a creative look at the role mathematics has played since prehistoric times. From its many uses in medicine and its appearance in artwork to its patterns in nature and its central role in the development of computers, mathematics is presented in a fun-to-read, nonthreatening manner.

Differential Geometry

Author: Heinrich W. Guggenheimer
Publisher: Courier Corporation
ISBN: 9780486157207
Release Date: 2012-04-27
Genre: Mathematics

This text contains an elementary introduction to continuous groups and differential invariants; an extensive treatment of groups of motions in euclidean, affine, and riemannian geometry; more. Includes exercises and 62 figures.

Squaring the Circle

Author: Paul Calter
Publisher: John Wiley & Sons
ISBN: STANFORD:36105133019302
Release Date: 2008-06-10
Genre: Mathematics

Geometry is a dynamic branch of mathematics that also serves as a creative tool for engineers, artists, and architects. Squaring the Circle: Geometry in Art and Architecture includes all the topics necessary for a solid foundation in geometry and explores the timeless influence of geometry on art and architecture. The text offers wide-ranging exercise sets and related projects that allow students to practice and master the mathematics presented. Each chapter introduces mathematical concepts geometrically and illustrates their nontraditional applications in art and architecture throughout the centuries. Appropriate for both basic mathematics courses and cross-discipline courses in mathematics and art, Squaring the Circle requires no previous mathematics.

MAA Notes

Publisher: The Mathematical Association of America
ISBN: UOM:39015056605325
Release Date: 2000
Genre: Education