28 books like The Projective Cast

Maurice Pirenne was a physiologist who studied vision and was fascinated by the problems of how we see and interpret paintings and photographs. In this book he explains how vision works and uses his own elegant experiments to demystify perspective and visual illusion. What I especially like about this book, is that Pirenne is not content just to explain the theoretical issues, but uses his own skills in photography to explore the issues and provide vivid demonstrations. This is one of the best and clearest books, to my mind, on these tricky questions. 

Martin Kemp is the world's leading expert on the use of perspective, optical tools, and scientific knowledge in art. This encyclopaedic book follows developments from the Italian Renaissance to the nineteenth century, with a great wealth of illustrations, from Brunelleschi and Alberti to the colour theories of Goethe and Chevreul. I re-read and refer to this book repeatedly - as I am sure do many others - and am always finding new insights. Kemp's explanations are always clear and penetrating, even when the writers and artists he is writing about are not.

David Hockney believes, rightly in my opinion, that European artists since the Renaissance have used optical aids - mirrors of different types, the camera obscura, the camera lucida - much more often than conventional art history has allowed. I like and admire this book for the wonderful choice of illustrations, and the deep knowledge and understanding of painting methods that Hockney betrays, with wit and elegance, in the text. His arguments are highly subversive and involve a complete re-thinking of the role of optics in Western art, before photography. I don't go along with all of Hockney's theories. But he has overturned the subject, and has got art historians thinking again.

Ernst Gombrich's masterpiece, published in 1960 and still in print, follows the drive in Western Art from Ancient Greece and Egypt to the present day, to achieve the illusion of realistic appearance in pictures. Kenneth Clark, himself a most accomplished art historian and writer, described Art and Illusion as 'One of the most brilliant books on art criticism I have ever read." I too admire the way the book combines great erudition with a clear conversational style and an ability to move beyond the usual confines of art history. Gombrich uses findings from psychology to illuminate his argument, supported with a surprising range of illustrations, not just from the fine arts, but from advertising, photography, caricature, and cartoons. Brilliant indeed.

A readable, yet profound tour of what math is really all about.

This book will help you have your own ideas because it opens your eyes to mathematical themes that go to the heart of things you care about yet may never have thought of as mathematical. For me, the analysis of gerrymandering was a sobering prime example.

This is the bestselling textbook of all time. Euclid’s Elements has been the model for correct thinking for thousands of years. The traditional year-long course on axiomatic reasoning about geometry was easily my favorite course in high school. In fact, I sort of assumed that I was slow in that I could not “see” the underlying axioms in other classes. I simply did not realize that the other high school subjects were not axiom-based. 

The story goes that as a young prairie lawyer, Abraham Lincoln carried around with him a tattered copy of the Elements so that he could learn how to think (even though he never really had much formal education). I hope this is true. Even more so, I want to believe that he developed his profound oratorial skill from the power behind Euclid.

Peter Sis is an acclaimed international writer, artist, and filmmaker. He’s created several award-winning children’s books. In The Three Golden Keys, Sis recaptures his lost childhood in Prague and takes the reader on a dark, mysterious adventure through Prague to find the three keys that will unlock the three rusty padlocks of his childhood home and of his own childhood memories.

I like his art more than his storytelling which is often so personal as to be cryptic. So why am I recommending this book? Because his illustrations of Prague are so beautifully detailed, surreal, and mysterious. It’s a work of art that’s personal, poignant, and poetic. It’s a gorgeous book but perhaps enjoyed by adults more than children.

I stumbled on this in a used bookstore. What a find! The old-school, kid-friendly illustrations lead swiftly from simple beginnings (“What happens when you stretch a painting?”) to the depths of undergraduate topology. I haven’t used this in the classroom yet, but honestly, I could imagine busting it out with anyone from first-graders to first-year PhD candidates.

This may seem an odd choice, but as a maths popularizer I need to know all that I can about why some people find the main elements of the subject so difficult. I found Doug French's book exceptionally helpful in this respect, even though it is aimed principally at high school teachers. This is partly because he focuses throughout on the most important mathematical ideas and difficulties. Moreover, the scope is wider than the title suggests, for he also ventures imaginatively into both geometry and calculus.

The book introduced Interior Design as an intellectual subject with a firm theoretical grounding that went beyond style and taste to influential and foundational concepts and promoted it as a serious field of study. It is a collection of accessible essays and so is easy to dip into. My favourite essay is "Figures, Doors and Passageways," which discusses the formation of contemporary systems of circulation, the development of the corridor, and the evolution of modern ideas of personal privacy.