Depth, perspective of sky and sea, shadows, much more, not usually covered. 391 diagrams, 81 reproductions of drawings and paintings.

Perspective is easy; yet, surprisingly few artists know the simple rules that make it so. Remedy that situation with this simple, step-by-step book, the first devoted entirely to the topic. 256 illustrations.

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)

Erwin Panofsky’s Perspective as Symbolic Form is one of the great works of modern intellectual history, the legendary text that has dominated all art-historical and philosophical discussions on the topic of perspective in this century. Finally available in English, this unrivaled example of Panofsky’s early method places him within broader developments in theories of knowledge and cultural change. Here, drawing on a massive body of learning that ranges over ancient philosophy, theology, science, and optics as well as the history of art, Panofsky produces a type of “archaeology” of Western representation that far surpasses the usual scope of art historical studies. Perspective in Panofsky’s hands becomes a central component of a Western “will to form,” the expression of a schema linking the social, cognitive, psychological, and especially technical practices of a given culture into harmonious and integrated wholes. He demonstrates how the perceptual schema of each historical culture or epoch is unique and how each gives rise to a different but equally full vision of the world. Panofsky articulates these distinct spatial systems, explicating their particular coherence and compatibility with the modes of knowledge, belief, and exchange that characterized the cultures in which they arose. Our own modernity, Panofsky shows, is inseparable from its peculiarly mathematical expression of the concept of the infinite, within a space that is both continuous and homogenous.

A hands-on guide to perspective provides exercises designed to make drawing perspective effortless and easy.

Perspective is one of the most important concepts for an artist to understand. In this valuable beginnerÆs guide, acclaimed artist Ernest Norling teaches you how to use perspective to create a sense of depth and realism in your artwork. Perspective covers techniques for drawing in one-, two-, and three-point perspective, as well as information on how to use vanishing points and the horizon line to establish believable depth. Special attention is given to learning to draw circles, cylinders, and people in perspective. Whether you specialize in drawingùeven cartooning or animationùor painting in acrylic, pastel, oil, or watercolor, a good working knowledge of perspective is essential. DonÆt be surprised if you find yourself referring to this essential guide again and again!

The intention for this book is to present the resistance to change phenomenon from a new perspective. The term resistance is complex and very often misinterpreted. Change leaders should adapt their perspectives on this subject and try to see resistance from a positive angle as well. By just changing the prospect of analyzing it, managers could experience a greater success in implementing new changes and effectively attract more employees onto their side. Instead of trying to eliminate or suppress employees' resistance, managers should rather use their reactions in a positive framework. Resistance may be useful as feedback and therefore, managers can use it to improve and refine the organizational change process.