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.
Geometry and the Visual Artsby Dan Pedoe
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
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 Dürer, 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.
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Insight from a Mathematical Master Geometry and the Visual Arts is incredibly insightful and shows how art and mathematics can work in harmony together, often without you even realizing. I've read a couple of books on the subject of art and mathematics, and other than The Painter's Secret Geometry, they are either too deep or too shallow. Thankfully, Dan Pedoe is an outstanding mathematician and communicator. He put his best foot forward to write this remarkable book which gives you an in-depth exploration of various mathematicians, artists, philosophers, and lots more. It uses an abundance of historical information and mixes it with some of Pedoe's own theories and findings to make an engaging and informative book. The book flows well and was nearly constructed, making it easier to read and skip through if you're looking up something specific. Unlike some similar books like The Painter's Secret Geometry, it wasn't filled with an abundance of pictures but personally I thought this worked in the books favor as it made more space for valuable information. This could put some people off, but overall I'd highly recommend this book to scholars, lecturers, and even simply those with a general interest in the subject.