Synopses & Reviews
This survey traces the effects of geometry on artistic achievement and clearly discusses its importance to artists, scientists, architects, philosophers, and others. In addition to profiles of Vitruvius, Albrecht Durer, and Leonardo da Vinci, it includes a survey of projective geometry, mathematical curves, theories of perspective, architectural form, and concepts of space.
Synopsis
The origins of geometry are rooted in the ancient civilization of Egypt and Babylon. The Greeks developed its primitive beginnings into a science changing forever man's concept of space and proportions. In this lucid work, noted professor of mathematics Dan Pedoe (University of Minnesota) takes a provocative look at the crucial importance of geometry in the development of Western aesthetics. The author traces the effects of geometry on artistic achievement and clearly discusses its fundamental importance to artists, scientists, architects, philosophers, and others.
Special chapters focus on Vitruvius, Albrecht Durer, and Leonardo da Vinci, clearly outlining the interrelationship of their own artistic development and the guiding principles of geometry. 136 figures illustrate the text in addition to 24 plates. This wide-ranging survey addresses a broad expanse of intellectual territory, covering: projective geometry, mathematical curves, theories of perspective and architectural form, concepts of space and much more; making precise and perceptive references to the works of Plato, Walt Whitman, Pythagoras, Shakespeare, Einstein, Michelangelo, Swift, van Gogh, and other great minds.
Exercises are given at the end of each chapter for those who wish to experience the aesthetic appeal of geometry by carrying out simple constructions, inventing patterns, drawing and stitching curves and envelopes, and finally, venturing into the students, teachers, and all those who delight in the beauty of geometric forms, the work is an indispensable addition to your bookshelf and a lasting delight to the mind and eye.
Synopsis
Provocative look at the crucial importance of geometry in the development of Western aesthetics. 136 figures, 24 plates.
Synopsis
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.
About the Author
English-born mathematician Dan Pedoe (1910-98) wrote more than 50 expository research papers on geometry as well as many books on math and geometry that were widely translated and have remained in print for decades.
Table of Contents
List of Plates
Preface
Chapter 1 Vitruvius
Chapter 2 Albrecht Dürer
Chapter 3 Leonardo da Vinci
Chapter 4 Form in Architecture
Chapter 5 The Optics of Euclid
Chapter 6 Euclid's Elements of Geometry
Chapter 7 Cartesian and Projective Geometry
Chapter 8 Curves
Chapter 9 Space
Bibliography
Index