This is the classic introduction for the educated lay reader to the richly diverse world of mathematics: its history, philosophy, principles, and personalities.

    First published in this English translation in 1913.

    do it? How should you flip your mattress to get the maximum wear out of it? How does Google search the Internet? How many people should you date before settling down? Believe it or not, math plays a crucial role in answering all of these questions and more.Math underpins everything in the cosmos, including us, yet too few of us understand this universal language well enough to revel in its wisdom, its beauty — and its joy. This deeply enlightening, vastly entertaining volume translates math in a way that is at once intelligible and thrilling. Each trenchant chapter of The Joy of x offers an “aha!” moment, starting with why numbers are so helpful, and progressing through the wondrous truths implicit in π, the Pythagorean theorem, irrational numbers, fat tails, even the rigors and surprising charms of calculus. Showing why he has won awards as a professor at Cornell and garnered extensive praise for his articles about math for the New York Times, Strogatz presumes of his readers only curiosity and common sense. And he rewards them with clear, ingenious, and often funny explanations of the most vital and exciting principles of his discipline.Whether you aced integral calculus or aren’t sure what an integer is, you’ll find profound wisdom and persistent delight in The Joy of x.

    Munari insisted that design be beautiful, functional and accessible, and this enlightening and highly entertaining book sets out his ideas about visual, graphic and industrial design and the role it plays in the objects we use everyday. Lamps, road signs, typography, posters, children's books, advertising, cars and chairs - these are just some of the subjects to which he turns his illuminating gaze.How do we see the world around us? The Penguin on Design series includes the works of creative thinkers whose writings on art, design and the media have changed our vision forever.Bruno Munari (1907-1998), born in Milan, was the enfant terrible of Italian art and design for most of the twentieth century, contributing to many fields of both visual (paint, sculpture, film, industrial design, graphics) and non-visual arts (literature, poetry). He was twice awarded the Compasso d'Oro design prize for excellence in his field.If you enjoyed Design as Art, you might like John Berger's Ways of Seeing, also available in Penguin Modern Classics.'One of the most influential designers of the twentieth century ... Munari has encouraged people to go beyond formal conventions and stereotypes by showing them how to widen their perceptual awareness'International Herald Tribune

    Capturing the tone of students exchanging ideas among themselves, this unique guide also explains how calculus is taught, how to get the best teachers, what to study, and what is likely to be on exams—all the tricks of the trade that will make learning the material of first-semester calculus a piece of cake. Funny, irreverent, and flexible, How to Ace Calculus shows why learning calculus can be not only a mind-expanding experience but also fantastic fun.

    By 1949, Godel had produced a remarkable proof: In any universe described by the Theory of Relativity, time cannot exist. Einstein endorsed this result reluctantly but he could find no way to refute it, since then, neither has anyone else. Yet cosmologists and philosophers alike have proceeded as if this discovery was never made. In A World Without Time, Palle Yourgrau sets out to restore Godel to his rightful place in history, telling the story of two magnificent minds put on the shelf by the scientific fashions of their day, and attempts to rescue the brilliant work they did together.

    This idea is considered a foundation of modern physics, but what if it is wrong? Theoretical physicist Magueijo presents the idea that light traveled faster in the early universe than it does today. The varying speed of light theory solves some of the most intractable problems in cosmology, and could have major implications for the study of physics.

    The most fundamental differences are philosophical, and readers of this book will emerge with a clearer understandingof paradoxical-sounding concepts such as infinity, curved space, and imaginary numbers. The first few chapters are about general aspects of mathematical thought. These are followed by discussions of more specific topics, and the book closes with a chapter answering common sociological questionsabout the mathematical community (such as Is it true that mathematicians burn out at the age of 25?) It is the ideal introduction for anyone who wishes to deepen their understanding of mathematics.About the Series: Combining authority with wit, accessibility, and style, Very Short Introductions offer an introduction to some of life's most interesting topics. Written by experts for the newcomer, they demonstrate the finest contemporary thinking about the central problems and issues in hundredsof key topics, from philosophy to Freud, quantum theory to Islam.

    Turing Mathematician Alan Turing invented an imaginary computer known as the Turing Machine; in an age before computers, he explored the concept of what it meant to be "computable," creating the field of computability theory in the process, a foundation of present-day computer programming.The book expands Turing's original 36-page paper with additional background chapters and extensive annotations; the author elaborates on and clarifies many of Turing's statements, making the original difficult-to-read document accessible to present day programmers, computer science majors, math geeks, and others.Interwoven into the narrative are the highlights of Turing's own life: his years at Cambridge and Princeton, his secret work in cryptanalysis during World War II, his involvement in seminal computer projects, his speculations about artificial intelligence, his arrest and prosecution for the crime of "gross indecency," and his early death by apparent suicide at the age of 41.

    The authors, Frank Thomas and Ollie Johnston, worked with Walt Disney himself as well as other leading figures in a half-century of Disney films. They personally animated leading characters in most of the famous films and have decades of close association with the others who helped perfect this extremely difficult and time-consuming art form. Not to be mistaken for just a "how-to-do-it," this voluminously illustrated volume (like the classic Disney films themselves) is intended for everyone to enjoy.Besides relating the painstaking trial-and-error development of Disney's character animation technology, this book irresistibly charms us with almost an overabundance of the original historic drawings used in creating some of the best-loved characters in American culture: Mickey Mouse and Donald Duck, Snow White and Bambi (among many, many others) as well as early sketches used in developing memorable sequences from classic features such as Fantasia and Pinocchio. With the full cooperation of Walt Disney Productions and free access to the studio's priceless archives, the authors took unparalleled advantage of their intimate long-term experience with animated films to choose the precise drawings to illustrate their points from among hundreds of thousands of pieces of artwork carefully stored away.The book answers everybody's question about how the amazingly lifelike effects of Disney character animation were achieved, including charming stories of the ways that many favorite animated figures got their unique personalities. From the perspective of two men who had an important role in shaping the art of animation, and within the context of the history of animation and the growth of the Disney studio, this is the definitive volume on the work and achievement of one of America's best-known and most widely loved cultural institutions. Nostalgia and film buffs, students of popular culture, and that very broad audience who warmly responds to the Disney "illusion of life" will find this book compelling reading (and looking!).Searching for that perfect gift for the animation fan in your life? Explore more behind-the-scenes stories from Disney Editions:The Art of Mulan: A Disney Editions ClassicWalt Disney's Ultimate Inventor: The Genius of Ub IwerksOne Day at Disney: Meet the People Who Make the Magic Across the GlobeThe Walt Disney Studios: A Lot to RememberFrom All of Us to All of You: The Disney Christmas CardInk & Paint: The Women of Walt Disney's AnimationOswald the Lucky Rabbit: The Search for the Lost Disney Cartoons, Revised Special EditionDisney Villains: Delightfully Evil - The Creation, The Inspiration, The FascinationThe Art and Flair of Mary Blair: An Appreciation, Updated Edition

    His breaking of the German U-boat Enigma cipher in World War II ensured Allied-American control of the Atlantic. But Turing's vision went far beyond the desperate wartime struggle. Already in the 1930s he had defined the concept of the universal machine, which underpins the computer revolution. In 1945 he was a pioneer of electronic computer design. But Turing's true goal was the scientific understanding of the mind, brought out in the drama and wit of the famous "Turing test" for machine intelligence and in his prophecy for the twenty-first century.Drawn in to the cockpit of world events and the forefront of technological innovation, Alan Turing was also an innocent and unpretentious gay man trying to live in a society that criminalized him. In 1952 he revealed his homosexuality and was forced to participate in a humiliating treatment program, and was ever after regarded as a security risk. His suicide in 1954 remains one of the many enigmas in an astonishing life story.

    Why do living things and physical phenomena take the forms they do? Analyzing the mathematical and physical aspects of biological processes, this historic work, first published in 1917, has become renowned as well for the poetry of is descriptions.

    Creating art about people and their odd ways, recalling many issues from childhood and adult life experience, McPherson creates images that are thought provoking and seductive. Tara's array of work includes numerous gig posters for rock bands, including Green Day, Modest Mouse, and Death Cab for Cutie, and advertising and editorial illustrations for a diverse group of clients. Her prints and paintings have been exhibited in galleries all over the world. Lonely Heart is the first printed collection of McPherson's work.• Foreword by Frank Kozik!• This collection features full-color illustrations throughout.

    Page after page of inside photos from the legendary National Geographic archives document the royal's most memorable moments in the spotlight; a luminous, personal remembrance by Diana friend and biographer Tina Brown adds context and nuance to a poignant life twenty years after her tragic death. Float down memory lane through more than 100 remarkable images of Diana, from her days as a schoolgirl to her engagement to Prince Charles, the birth of Princes William and Harry, and her life in the media as an outspoken advocate for the poor, the sick, and the downtrodden. This elegant book features reflections from those who knew her best, recollections from dignitaries and celebrities like Nelson Mandela and Elton John, and personal insight through the princess's own words. This richly illustrated book is a beautiful ode to one of the world's most beloved women.

    Your secret can be a regret, fear, betrayal, desire, confession, or childhood humiliation. Reveal anything -- as long as it is true and you have never shared it with anyone before. Be brief. Be legible. Be creative.It all began with an idea Frank Warren had for a community art project. He began handing out postcards to strangers and leaving them in public places -- asking people to write down a secret they had never told anyone and mail it to him, anonymously.The response was overwhelming. The secrets were both provocative and profound, and the cards themselves were works of art -- carefully and creatively constructed by hand. Addictively compelling, the cards reveal our deepest fears, desires, regrets, and obsessions. Frank calls them "graphic haiku," beautiful, elegant, and small in structure but powerfully emotional.As Frank began posting the cards on his website, PostSecret took on a life of its own, becoming much more than a simple art project. It has grown into a global phenomenon, exposing our individual aspirations, fantasies, and frailties -- our common humanity.Every day dozens of postcards still make their way to Frank, with postmarks from around the world, touching on every aspect of human experience. This extraordinary collection brings together the most powerful, personal, and beautifully intimate secrets Frank Warren has received -- and brilliantly illuminates that human emotions can be unique and universal at the same time.