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Most works of art, whether illustrative, musical or literary, are created subject to a set of constraints. In many (but not all) cases, these constraints have a mathematical nature, for example, the geometric transformations governing the canons of J. S. Bach, the various projection systems used in classical painting, the catalog of symmetries found in Islamic art, or the rules concerning poetic structure. This fascinating book describes geometric frameworks underlying this constraint-based creation. The author provides both a development in geometry and a description of how these frameworks fit the creative process within several art practices. He furthermore discusses the perceptual effects derived from the presence of particular geometric characteristics. The book began life as a liberal arts course and it is certainly suitable as a textbook. However, anyone interested in the power and ubiquity of mathematics will enjoy this revealing insight into the relationship between mathematics and the arts.
Art historians have long speculated on how Vermeer achieved the uncanny mixture of detached precision, compositional repose, and perspective accuracy that have drawn many to describe his work as "photographic." Indeed, many wonder if Vermeer employed a camera obscura, a primitive form of camera, to enhance his realistic effects? In Vermeer's Camera, Philip Steadman traces the development of the camera obscura--first described by Leonaro da Vinci--weighs the arguments that scholars have made for and against Vermeer's use of the camera, and offers a fascinating examination of the paintings themselves and what they alone can tell us of Vermeer's technique. Vermeer left no record of his method and indeed we know almost nothing of the man nor of how he worked. But by a close and illuminating study of the paintings Steadman concludes that Vermeer did use the camera obscura and shows how the inherent defects in this primitive device enabled Vermeer to achieve some remarkable effects--the slight blurring of image, the absence of sharp lines, the peculiar illusion not of closeness but of distance in the domestic scenes. Steadman argues that the use of the camera also explains some previously unexplainable qualities of Vermeer's art, such as the absence of conventional drawing, the pattern of underpainting in areas of pure tone, the pervasive feeling of reticence that suffuses his canvases, and the almost magical sense that Vermeer is painting not objects but light itself. Drawing on a wealth of Vermeer research and displaying an extraordinary sensitivity to the subtleties of the work itself, Philip Steadman offers in Vermeer's Camera a fresh perspective on some of the most enchanting paintings ever created.
The author "explains the properties of gnomons [self-repeating shapes], traces their long and colorful history in human thought, and explores the mathematical and geometrical marvels they make possible."--Jacket.
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 downloadable resources 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.
This fourth book in the Nexus series offers papers that further broaden the horizons of studies in architecture and mathematics.
"Its cities are studded with gilded mosques and blue-mosaic shrines built in honour of some of history's greatest leaders; its people are generous and kind to a fault; and its terrain ranges from the ski slopes of Tehran to the sands of the Caspian Sea. Leave your preconceptions on the plane, take a copy of this expanded third edition on tour, and immerse yourself in the unfamiliar - the rewards will be rich."--Page 4 of cover.
First published in 1202, Fibonacci’s Liber Abaci was one of the most important books on mathematics in the Middle Ages, introducing Arabic numerals and methods throughout Europe. This is the first translation into a modern European language, of interest not only to historians of science but also to all mathematicians and mathematics teachers interested in the origins of their methods.