I have taught undergraduate and PhD students physics and biophysics for 36 years, and I never get tired of it. I always look for hot new topics and everyday things that we all see but rarely notice as interesting. I also look for “how could anything like that possibly happen at all?”-type questions and the eureka moment when some idea from physics or math pries off the lid, making a seemingly insoluble problem easy. Finally, I look for the skills and frameworks that will open the most doors to students in their future work.
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.
“Unreasonably entertaining . . . reveals how geometric thinking can allow for everything from fairer American elections to better pandemic planning.” —The New York Times
From the New York Times-bestselling author of How Not to Be Wrong—himself a world-class geometer—a far-ranging exploration of the power of geometry, which turns out to help us think better about practically everything.
How should a democracy choose its representatives? How can you stop a pandemic from sweeping the world? How do computers learn to play Go, and why is learning Go so much easier for them than learning…
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 was given this book when I was about 15, and devoured it. It is an eclectic collection of mathematical paradoxes, fallacies, and curiosities so strange that they seem impossible. Mathematical magic tricks, a proof that all numbers are equal, a proof that all triangles are isosceles, a curve whose length is infinite but whose area is finite, a curve that crosses itself at every point, a curve that fills the interior of a square. Infinities that are bigger than other infinities. The Saint Petersburg Paradox in probability, a calculation that you should pay the bank an infinite amount of money to play one fair coin-tossing game. The smallest number that cannot be named in fewer than thirteen words (which I’ve just named in twelve words).
Two fathers and two sons leave town. This reduces the population of the town by three. True? Yes, if the trio consists of a father, son, and grandson. This entertaining collection consists of more than 200 such riddles, drawn from every branch of mathematics. Math enthusiasts of all ages will enjoy sharpening their wits with riddles rooted in areas from arithmetic to calculus, covering a wide range of subjects that includes geometry, trigonometry, algebra, concepts of the infinite, probability, and logic. But only an elementary knowledge of mathematics is needed to find amusement in this imaginative collection, which features complete…
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.
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.
“The Three Golden Keys” is professional contortionist Samuel Palmer’s method of correcting and maintaining perfect body alignment, which enables him to continue to perform at top physical condition. It is a technique for reconfiguring the body’s neuromuscular patterns to enable one to achieve the greatest precision and efficiency in both posture and movement. These principles of alignment are based in geometry and are demonstrated mathematically to show the definition of correct alignment. This information serves as the ideal foundation for all forms of physical training, as well as basic health care.
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.
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.
A re-edition of Robin Evans’ classic essay anthology Translations from Drawing to Building and Other Essays, originally published by the Architectural Association (AA) in 1997. Featuring a new introduction, the book is the first in a new series of essay anthologies entitled AA Documents.
‘What makes this book so captivating is not just the individual insights, but also the intensity of Evans's vision and the coherence of his approach.’ ―Joseph Rykwert, Harvard Design Magazine
This book brings together eight of the most interesting and significant essays by the unequalled historian Robin Evans, author of The Projective Cast. Written over a…
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.
Have you ever been to a mathematics lecture where the speaker wore a tuxedo and baffled the audience with his mystifying knowledge of numbers? Well, I have and the speaker was Arthur Benjamin, who combined mathematics and magic. He even displayed this knowledge with Stephen Colbert on his earlier show The Colbert Report. It is our good fortune that he describes much of this mathematical wizardry in this fascinating book.
A New York Times Bestseller Arthur Benjamin . . . joyfully shows you how to make nature's numbers dance." ,Bill Nye The Magic of Math is the math book you wish you had in school. Using a delightful assortment of examples,from ice-cream scoops and poker hands to measuring mountains and making magic squares,this book revels in key mathematical fields including arithmetic, algebra, geometry, and calculus, plus Fibonacci numbers, infinity, and, of course, mathematical magic tricks. Known throughout the world as the mathemagician," Arthur Benjamin mixes mathematics and magic to make the subject fun, attractive, and easy to understand for math…
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.
Robin Evans was a versatile architectural historian and theorist who died too young. This highly original and unusual book, published after his death, is about the relationship of geometry to architecture, and how methods of drawing, including perspective and orthographic projection, can influence what is conceived and built. I admire the way in which Evans, unlike many architectural historians, is able to combine deep scholarship with a working practical understanding of how buildings are made, and how they are used in practice. There has been no other recent writer on architecture with so subtle a mind.
Robin Evans recasts the idea of the relationship between geometry and architecture, drawing on mathematics, engineering, art history, and aesthetics to uncover processes in the imagining and realizing of architectural form.
Anyone reviewing the history of architectural theory, Robin Evans observes, would have to conclude that architects do not produce geometry, but rather consume it. In this long-awaited book, completed shortly before its author's death, Evans recasts the idea of the relationship between geometry and architecture, drawing on mathematics, engineering, art history, and aesthetics to uncover processes in the imagining and realizing of architectural form. He shows that geometry does…
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.
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.
The classic Heath translation, in a completely new layout with plenty of space and generous margins. An affordable but sturdy sewn hardcover student and teacher edition in one volume, with minimal notes and a new index/glossary.
Visits to galleries, museums, and castles were an integral part of my childhood. These filled me with an enduring love for art, architecture, and archaeology. My initial studies covered all areas of art history, but I became drawn to the visual cultures of the Islamic world. I have been lucky enough to live and work in different parts of the Middle East. I am committed to sharing knowledge about the arts and archaeology of the Islamic world through books, exhibitions, and websites. I have always enjoyed fiction that involves art as part of a story, and the selections in this list are my current favorites. I hope you enjoy them!
I keep returning to this collection of essays because of the elegantly stark prose style and Berger’s willingness to go against popular opinion. Who else would choose to place modernist titans like Jackson Pollock, Naum Gabo, and Paul Klee in a chapter entitled “Artists defeated by the difficulties”?
My reason for including Permanent Red here is the first chapter, “To Be an Artist,” in which Berger asks the reader to imagine lying beneath a tree on a summer day. Describing the geometry of the leaves and branches and the play of form and space, he reflects on what it means to see the world as an artist. For me, it’s the most lyrical evocation of looking as a creative act.
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.)
Picking up this short picture book, I expected a dose of Phantom Toolbooth-esque wordplay. Not at all. This five-minute love story, about a line yearning for a dot, somehow enlarges into a meditation on geometric structure itself. From such a brief book, I didn’t expect new insights about how simple geometry underlies our most intricate thinking—but then again, that’s what delightful visuals will do for you.
Once upon a time there was a sensible straight line who was hopelessly in love with a beautiful dot. But the dot, though perfect in every way, only had eyes for a wild and unkempt squiggle. All of the line's romantic dreams were in vain, until he discovered...angles! Now, with newfound self-expression, he can be anything he wants to be--a square, a triangle, a parallelogram....And that's just the beginning!First published in 1963 and made into an Academy Award-winning animated short film, here is a supremely witty love story with a twist that reveals profound truths about relationships--both human and mathematical--sure…
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.
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.
Continuum has repackaged some of its key academic backlist titles to make them available at a more affordable price. These reissues will have new ISBNs, distinctive jackets and strong branding. They cover a range of subject areas that have a continuing student sale and make great supplementary reading more accessible. A comprehensive, authoritative and constructive guide to teaching algebra.
