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 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.

Viewpoints

Author: Marc Frantz
Publisher: Princeton University Press
ISBN: 140083905X
Release Date: 2011-07-05
Genre: Mathematics

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)

Math and Art

Author: Sasho Kalajdzievski
Publisher: CRC Press
ISBN: 9781584889144
Release Date: 2011-04-28
Genre: Mathematics

Math and Art: An Introduction to Visual Mathematics explores the potential of mathematics to generate visually appealing objects and reveals some of the beauty of mathematics. With a CD-ROM and a 16-page full-color insert, it includes numerous illustrations, computer-generated graphics, photographs, and art reproductions to demonstrate how mathematics can inspire art. Basic Math Topics and Their Visual Aspects Focusing on accessible, visually interesting, and mathematically relevant topics, the text unifies mathematics subjects through their visual and conceptual beauty. Sequentially organized according to mathematical maturity level, each chapter covers a cross section of mathematics, from fundamental Euclidean geometry, tilings, and fractals to hyperbolic geometry, platonic solids, and topology. For art students, the book stresses an understanding of the mathematical background of relatively complicated yet intriguing visual objects. For science students, it presents various elegant mathematical theories and notions. Comprehensive Material for a Math in Art Course Providing all of the material for a complete one-semester course on mathematics in art, this self-contained text shows how artistic practice with mathematics and a comprehension of mathematical concepts are needed to logically and creatively appreciate the field of mathematics.

Geometry A Comprehensive Course

Author: Dan Pedoe
Publisher: Courier Corporation
ISBN: 9780486131733
Release Date: 2013-04-02
Genre: Mathematics

Introduction to vector algebra in the plane; circles and coaxial systems; mappings of the Euclidean plane; similitudes, isometries, Moebius transformations, much more. Includes over 500 exercises.

The Invention of Infinity

Author: Judith Veronica Field
Publisher: Oxford University Press, USA
ISBN: 9780198523949
Release Date: 1997
Genre: Mathematics

Fully illustrated, this story brings together the histories of arts and mathematics and shows how infinity at last acquired a precise mathematical meaning.

The Painter s Secret Geometry

Author: Charles Bouleau
Publisher: Courier Corporation
ISBN: 9780486795508
Release Date: 2014-07-01
Genre: Art

Richly illustrated examination of Western visual arts shows how great masters and modern painters employed the "golden mean" and other geometrical patterns. Cult classic and essential guide for art history students.

Excursions in Geometry

Author: Charles Stanley Ogilvy
Publisher: Courier Corporation
ISBN: 9780486265308
Release Date: 1990
Genre: Mathematics

A straightedge, compass, and a little thought are all that's needed to discover the intellectual excitement of geometry. Harmonic division and Apollonian circles, inversive geometry, hexlet, Golden Section, more. 132 illustrations.

Geometry and Symmetry

Author: Paul B. Yale
Publisher: Courier Corporation
ISBN: 9780486169323
Release Date: 2014-05-05
Genre: Mathematics

DIVIntroduction to the geometry of euclidean, affine and projective spaces with special emphasis on the important groups of symmetries of these spaces. Many exercises, extensive bibliography. Advanced undergraduate level. /div

Invitation to Geometry

Author: Z. A. Melzak
Publisher: Courier Corporation
ISBN: 9780486789484
Release Date: 2014-01-15
Genre: Mathematics

Intended for students of many different backgrounds with only a modest knowledge of mathematics, this text features self-contained chapters that can be adapted to several types of geometry courses. Only a slight acquaintance with mathematics beyond the high-school level is necessary, including some familiarity with calculus and linear algebra. This text's introductions to several branches of geometry feature topics and treatments based on memorability and relevance. The author emphasizes connections with calculus and simple mechanics, focusing on developing students' grasp of spatial relationships. Subjects include classical Euclidean material, polygonal and circle isoperimetry, conics and Pascal's theorem, geometrical optimization, geometry and trigonometry on a sphere, graphs, convexity, and elements of differential geometry of curves. Additional material may be conveniently introduced in several places, and each chapter concludes with exercises of varying degrees of difficulty.

Projective Geometry

Author: T. Ewan Faulkner
Publisher: Courier Corporation
ISBN: 9780486154893
Release Date: 2013-02-20
Genre: Mathematics

Highlighted by numerous examples, this book explores methods of the projective geometry of the plane. Examines the conic, the general equation of the 2nd degree, and the relationship between Euclidean and projective geometry. 1960 edition.

Lectures in Projective Geometry

Author: A. Seidenberg
Publisher: Courier Corporation
ISBN: 9780486154732
Release Date: 2012-06-14
Genre: Mathematics

An ideal text for undergraduate courses, this volume takes an axiomatic approach that covers relations between the basic theorems, conics, coordinate systems and linear transformations, quadric surfaces, and the Jordan canonical form. 1962 edition.

Beautiful Geometry

Author: Eli Maor
Publisher: Princeton University Press
ISBN: 9781400848331
Release Date: 2014-01-19
Genre: Mathematics

If you've ever thought that mathematics and art don't mix, this stunning visual history of geometry will change your mind. As much a work of art as a book about mathematics, Beautiful Geometry presents more than sixty exquisite color plates illustrating a wide range of geometric patterns and theorems, accompanied by brief accounts of the fascinating history and people behind each. With artwork by Swiss artist Eugen Jost and text by math historian Eli Maor, this unique celebration of geometry covers numerous subjects, from straightedge-and-compass constructions to intriguing configurations involving infinity. The result is a delightful and informative illustrated tour through the 2,500-year-old history of one of the most important branches of mathematics.

Differential Geometry

Author: Erwin Kreyszig
Publisher: Courier Corporation
ISBN: 9780486318622
Release Date: 2013-04-26
Genre: Mathematics

An introductory textbook on the differential geometry of curves and surfaces in 3-dimensional Euclidean space, presented in its simplest, most essential form. With problems and solutions. Includes 99 illustrations.