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The companion book to COURSERA®'s wildly popular massive open online course "Learning How to Learn"Whether you are a student struggling to fulfill a math or science requirement, or you are embarking on a career change that requires a new skill set, A Mind for Numbers offers the tools you need to get a better grasp of that intimidating material. Engineering professor Barbara Oakley knows firsthand how it feels to struggle with math. She flunked her way through high school math and science courses, before enlisting in the army immediately after graduation. When she saw how her lack of mathematical and technical savvy severely limited her options—both to rise in the military and to explore other careers—she returned to school with a newfound determination to re-tool her brain to master the very subjects that had given her so much trouble throughout her entire life.In A Mind for Numbers, Dr. Oakley lets us in on the secrets to learning effectively—secrets that even dedicated and successful students wish they’d known earlier. Contrary to popular belief, math requires creative, as well as analytical, thinking. Most people think that there’s only one way to do a problem, when in actuality, there are often a number of different solutions—you just need the creativity to see them. For example, there are more than three hundred different known proofs of the Pythagorean Theorem. In short, studying a problem in a laser-focused way until you reach a solution is not an effective way to learn. Rather, it involves taking the time to step away from a problem and allow the more relaxed and creative part of the brain to take over. The learning strategies in this book apply not only to math and science, but to any subject in which we struggle. We all have what it takes to excel in areas that don't seem to come naturally to us at first, and learning them does not have to be as painful as we might think.

Concise lessons in design, drawing, the creative process, and presentation, from the basics of “How to Draw a Line” to the complexities of color theory.This is a book that students of architecture will want to keep in the studio and in their backpacks. It is also a book they may want to keep out of view of their professors, for it expresses in clear and simple language things that tend to be murky and abstruse in the classroom. These 101 concise lessons in design, drawing, the creative process, and presentation—from the basics of "How to Draw a Line" to the complexities of color theory—provide a much-needed primer in architectural literacy, making concrete what too often is left nebulous or open-ended in the architecture curriculum. Each lesson utilizes a two-page format, with a brief explanation and an illustration that can range from diagrammatic to whimsical. The lesson on "How to Draw a Line" is illustrated by examples of good and bad lines; a lesson on the dangers of awkward floor level changes shows the television actor Dick Van Dyke in the midst of a pratfall; a discussion of the proportional differences between traditional and modern buildings features a drawing of a building split neatly in half between the two. Written by an architect and instructor who remembers well the fog of his own student days, 101 Things I Learned in Architecture School provides valuable guideposts for navigating the design studio and other classes in the architecture curriculum. Architecture graduates—from young designers to experienced practitioners—will turn to the book as well, for inspiration and a guide back to basics when solving a complex design problem.

A bold, visionary, and mind-bending exploration of how the geometry of chaos can explain our uncertain world―from weather and pandemics to quantum physics and free will Covering a breathtaking range of topics--from climate change to the foundations of quantum physics, from economic modelling to conflict prediction, from free will to consciousness and spirituality--The Primacy of Doubt takes us on a unique journey through the science of uncertainty. A key theme that unifies these seemingly unconnected topics is the geometry of chaos: the beautiful and profound fractal structures that lie at the heart of much of modern mathematics. Royal Society Research Professor Tim Palmer shows us how the geometry of chaos not only provides the means to predict the world around us, it suggests new insights into some of the most astonishing aspects of our universe and ourselves. This important and timely book helps the reader makes sense of uncertainty in a rapidly changing world.

Winner of the Pulitzer Prize, this book applies Godel's seminal contribution to modern mathematics to the study of the human mind and the development of artificial intelligence.

An attempt to free architecture from site and program constraints and to counter the profusion of ever bigger architecture books with ever smaller content.Some may call it the first manifesto of the twenty-first century, for it lays down a new way to think about architecture. Others may think of it as the last architectural treatise, for it provides a discursive container for ideas that would otherwise be lost. Whatever genre it belongs to, SITELESS is a new kind of architecture book that seems to have come out of nowhere. Its author, a young French architect practicing in Tokyo, admits he “didn't do this out of reverence toward architecture, but rather out of a profound boredom with the discipline, as a sort of compulsive reaction.” What would happen if architects liberated their minds from the constraints of site, program, and budget? he asks. The result is a book that is saturated with forms, and as free of words as any architecture book the MIT Press has ever published.The 1001 building forms in SITELESS include structural parasites, chain link towers, ball bearing floors, corrugated corners, exponential balconies, radial facades, crawling frames, forensic housing—and other architectural ideas that may require construction techniques not yet developed and a relation to gravity not yet achieved. SITELESS presents an open-ended compendium of visual ideas for the architectural imagination to draw from. The forms, drawn freehand (to avoid software-specific shapes) but from a constant viewing angle, are presented twelve to a page, with no scale, order, or end to the series. After setting down 1001 forms in siteless conditions and embryonic stages, Blanciak takes one of the forms and performs a “scale test,” showing what happens when one of these fantastic ideas is subjected to the actual constraints of a site in central Tokyo. The book ends by illustrating the potential of these shapes to morph into actual building proportions.

You can use this book to design a house for yourself with your family; you can use it to work with your neighbors to improve your town and neighborhood; you can use it to design an office, or a workshop, or a public building. And you can use it to guide you in the actual process of construction. After a ten-year silence, Christopher Alexander and his colleagues at the Center for Environmental Structure are now publishing a major statement in the form of three books which will, in their words, "lay the basis for an entirely new approach to architecture, building and planning, which will we hope replace existing ideas and practices entirely." The three books are The Timeless Way of Building, The Oregon Experiment, and this book, A Pattern Language. At the core of these books is the idea that people should design for themselves their own houses, streets, and communities. This idea may be radical (it implies a radical transformation of the architectural profession) but it comes simply from the observation that most of the wonderful places of the world were not made by architects but by the people. At the core of the books, too, is the point that in designing their environments people always rely on certain "languages," which, like the languages we speak, allow them to articulate and communicate an infinite variety of designs within a forma system which gives them coherence. This book provides a language of this kind. It will enable a person to make a design for almost any kind of building, or any part of the built environment. "Patterns," the units of this language, are answers to design problems (How high should a window sill be? How many stories should a building have? How much space in a neighborhood should be devoted to grass and trees?). More than 250 of the patterns in this pattern language are given: each consists of a problem statement, a discussion of the problem with an illustration, and a solution. As the authors say in their introduction, many of the patterns are archetypal, so deeply rooted in the nature of things that it seemly likely that they will be a part of human nature, and human action, as much in five hundred years as they are today.

« What makes a bridge wobble when it's not meant to? Billions of dollars mysteriously vanish into thin air? A building rock when its resonant frequency matches a gym class leaping to Snap's 1990 hit "The Power"? The answer is maths. Or, to be precise, what happens when maths goes wrong in the real world. As Matt Parker shows us, our modern lives are built on maths: computer programes, finance, engineering. And most of the time this maths works quietly behind the scenes, until...it doesn't. Exploring and explaining a litany of glitches, near-misses and mishaps involving the internet, big data, elections, street signs, lotteries, the Roman empire and a hapless Olympic shooting team, Matt Parker shows us the bizarre ways maths trips us up, and what this reveals about its essential place in our world. Mathematics doesn't have good 'people skills', but we would all be better off, he argues, if we saw it as a practical ally. This book shows how, by making maths our friend, we can learn from its pitfalls. It also contains puzzles, challenges, geometric socks, jokes about binary code and three deliberate mistakes. Getting it wrong has never been more fun. »--Rabat de la jaquette.

When a young boy uses charts and graphs to do a class report about himself, he sees just how unique he is in this warm, humorous story that makes learning basic math concepts fun!

Is maths making you miserable? Are you traumatised by triangles and anxious about angles? This book can help you solve the most testing of trigonomogeometric tasks. But beware - Professor Fiendish is planning his most evil scheme yet To defeat him you'll need to push your calculator to its limit.

Is maths making you miserable? Are you perplexed by polygons and addled by angles? Do you sometimes wonder where to stick your compasses? Then maybe this book can help.