The most recommended geometry books

I am an applied mathematician at Oxford University, and author of the bestseller 1089 and All That, which has now been translated into 13 languages. In 1992 I discovered a strange mathematical theorem – loosely related to the Indian Rope Trick - which eventually featured on BBC television. My books and public lectures are now aimed at bringing mainstream mathematics to the general public in new and exciting ways.

I have enjoyed mathematics and writing since I’ve been a kid, not only enjoying doing research in mathematics but assisting others to appreciate and enjoy mathematics. Along the way, I’ve gained an interest in the history of mathematics and the mathematicians who created mathematics. Perhaps most important, my primary goal has been to show others how enjoyable mathematics can be. Mathematics has given me the marvelous opportunity to meet and work with other mathematicians who have a similar passion for mathematics.

If I was asked to describe the central theme of my life's work in a phrase, it would be 'geometry in the arts'. I'm an architect originally, now a professor in London, and have always loved drawing and the art of perspective. In the 1990s I became fascinated with the idea that Johannes Vermeer used the camera obscura, an obsession that led to my book Vermeer's Camera. I'm now working on Canaletto's Camera. And I have ideas for yet another book, on perspective, to be called Points of View. I've chosen five books on these topics that I've found most thought-provoking and inspiring.

As a kid I read every popular math book I could lay my hands on. When I became a mathematician I wanted to do more than teaching and research. I wanted to tell everyone what a wonderful and vital subject math is. I started writing popular math books, and soon was up to my neck in radio, TV, news media, magazines... For 12 years I wrote the mathematical Recreations Column for Scientific American. I was only the second mathematician in 170 years to deliver the Royal Institution Christmas Lectures, on TV with a live tiger. The University changed my job description: half research, half ‘outreach’. I had my dream job.

I love mathematics and truly believe that “Functions Describe the World.” I'm deeply satisfied that I've spent my professional life discovering new mathematics and explaining known mathematics to others. I was an undergraduate at the University of Texas, Austin, got my PhD from Brown University, then spent three years as a G.C. Evans Instructor at Rice University, before moving to Williams, where I've been ever since. Besides writing All the Math You Missed (But Need to Know for Graduate School), I've also written Algebraic Geometry: A Problem Solving Approach (with a number of co-authors) and Electricity and Magnetism for Mathematicians: A Guided Path from Maxwell’s Equations to Yang-Mills, and a number of research articles.  

Explaining math demands great visuals. I should know: I explain math for a living, and I cannot draw. Like, at all. The LA Times art director once compared my cartoons to the work of children and institutionalized patients. (He printed them anyway.) In the nerdier corners of the internet, I’m known as the “Math with Bad Drawings” guy, and as a purveyor of artless art, I’ve developed an eye for the good stuff: striking visuals that bring mathematical concepts to life. Here are five books that blow my stick figures out of the water. (But please buy my book anyway, if for no deeper reason than pity.)

When I first saw an image of a Japanese garden, it was unlike anything I had seen before. I just knew I had to visit Japan to see the gardens and try to understand the culture that produced this artistry. I later had the opportunity to work for a small Japanese architecture firm in Tokyo. During those seven years, I explored gardens, landscapes, villages, and cities, trying to absorb as much of the culture as I could. Japanese gardens still fascinate me, and I love learning about contemporary designers and gardeners in Japan who are keeping the traditional spirit alive, while exploring what a garden can be in the present day.

For more than thirty years I have been discussing, formulating ideas, and writing about Architecture, Building Reuse, and Interiors. I lead the MA Architecture and Adaptive Reuse programme and direct graduate atelier Continuity in Architecture at the Manchester School of Architecture. I am currently the Visiting Professor at the University IUAV of Venice where I am conducting research on the sustainable adaptation of existing buildings with particular emphasis on the environmental concerns within the inherently fragile city of Venice.

Explaining math demands great visuals. I should know: I explain math for a living, and I cannot draw. Like, at all. The LA Times art director once compared my cartoons to the work of children and institutionalized patients. (He printed them anyway.) In the nerdier corners of the internet, I’m known as the “Math with Bad Drawings” guy, and as a purveyor of artless art, I’ve developed an eye for the good stuff: striking visuals that bring mathematical concepts to life. Here are five books that blow my stick figures out of the water. (But please buy my book anyway, if for no deeper reason than pity.)

I teach writing for children and I’ve analyzed the elements that make a winning story. One of these elements is the magic of three. My idea for Finley Finds his Fortune, was sparked by a desire to write a folk tale with the magic of three and also by my visit to Whitechurch, the last working watermill in England. I was awed by the power and beauty of its water wheel so I wove a water mill into my story. To do this, I had to first study how a mill works. That’s what I love about writing children’s books―that I can explore my own personal interests and passions.