Most of the time this math works quietly behind the scenes . . . until it doesn't. All sorts of seemingly innocuous mathematical mistakes can have significant consequences.Math is easy to ignore until a misplaced decimal point upends the stock market, a unit conversion error causes a plane to crash, or someone divides by zero and stalls a battleship in the middle of the ocean.Exploring and explaining a litany of glitches, near misses, and mathematical mishaps involving the internet, big data, elections, street signs, lotteries, the Roman Empire, and an Olympic team, Matt Parker uncovers the bizarre ways math trips us up, and what this reveals about its essential place in our world. Getting it wrong has never been more fun.

    In Tammet's world, numbers are beautiful and mathematics illuminates our lives and minds. Using anecdotes, everyday examples, and ruminations on history, literature, and more, Tammet allows us to share his unique insights and delight in the way numbers, fractions, and equations underpin all our lives. Inspired by the complexity of snowflakes, Anne Boleyn's eleven fingers, or his many siblings, Tammet explores questions such as why time seems to speed up as we age, whether there is such a thing as an average person, and how we can make sense of those we love. Thinking In Numbers will change the way you think about math and fire your imagination to see the world with fresh eyes.

    The term “complexity” can be misleading, however, because what makes West’s discoveries so beautiful is that he has found an underlying simplicity that unites the seemingly complex and diverse phenomena of living systems, including our bodies, our cities and our businesses. Fascinated by issues of aging and mortality, West applied the rigor of a physicist to the biological question of why we live as long as we do and no longer. The result was astonishing, and changed science, creating a new understanding of energy use and metabolism: West found that despite the riotous diversity in the sizes of mammals, they are all, to a large degree, scaled versions of each other. If you know the size of a mammal, you can use scaling laws to learn everything from how much food it eats per day, what its heart-rate is, how long it will take to mature, its lifespan, and so on. Furthermore, the efficiency of the mammal’s circulatory systems scales up precisely based on weight: if you compare a mouse, a human and an elephant on a logarithmic graph, you find with every doubling of average weight, a species gets 25% more efficient—and lives 25% longer. This speaks to everything from how long we can expect to live to how many hours of sleep we need. Fundamentally, he has proven, the issue has to do with the fractal geometry of the networks that supply energy and remove waste from the organism's body. West's work has been game-changing for biologists, but then he made the even bolder move of exploring his work's applicability to cities. Cities, too, are constellations of networks and laws of scalability relate with eerie precision to them. For every doubling in a city's size, the city needs 15% less road, electrical wire, and gas stations to support the same population. More amazingly, for every doubling in size, cities produce 15% more patents and more wealth, as well as 15% more crime and disease. This broad pattern lays the groundwork for a new science of cities. Recently, West has applied his revolutionary work on cities and biological life to the business world. This investigation has led to powerful insights into why some companies thrive while others fail. The implications of these discoveries are far-reaching, and are just beginning to be explored. Scale is a thrilling scientific adventure story about the elemental natural laws that bind us together in simple but profound ways. Through the brilliant mind of Geoffrey West, we can envision how cities, companies and biological life alike are dancing to the same simple, powerful tune, however diverse and unrelated they are to each other.From the Hardcover edition.

    In this new, innovative overview textbook, the authors put special emphasis on the deep ideas of mathematics, and present the subject through lively and entertaining examples, anecdotes, challenges and illustrations, all of which are designed to excite the student's interest. The underlying ideas include topics from number theory, infinity, geometry, topology, probability and chaos theory. Throughout the text, the authors stress that mathematics is an analytical way of thinking, one that can be brought to bear on problem solving and effective thinking in any field of study.

    Vaughan Lowe examines what international law can and cannot do and what it is and what it isn't doing to make the world a better place. Focussing on the problems the world faces, Lowe uses terrorism, environmental change, poverty, and international violence to demonstrate the theories and practice of international law, and how the principles can be used forinternational co-operation.

    But who were these artists, why did they produce such memorable images, and how would their original beholders have viewed these objects? Was the Renaissance only about great masters and masterpieces, or were women artists and patrons also involved? And what about the "minor" pieces that Renaissance men and women would have encountered in homes, churches and civic spaces? This Very Short Introduction answers such questions by considering both famous and lesser-known artists, patrons, and works of art within the cultural and historical context of Renaissance Europe. The volume provides a broad cultural and historical context for some of the Renaissance's most famous artists and works of art. It also explores forgotten aspects of Renaissance art, such as objects made for the home and women as artists and patrons. Considering Renaissance art produced in both Northern and Southern Europe, rather than focusing on just one region, the book introduces readers to a variety of approaches to the study of Renaissance art, from social history to formal analysis.

    In this Very Short Introduction, Thomas Forrest Kelly provides not only a compact overview of the music itself, but also a lively look at the many attempts over the last two centuries to revive it. Kelly shows that the early-music revival has long been grounded in the idea of spontaneity, of excitement, and of recapturing experiences otherwise lost to us--either the rediscovery of little-known repertories or the recovery of lost performing styles, with the conviction that, with the right performance, the music will come to life anew. Blending musical and social history, he shows how the Early Music movement in the 1960s took on political overtones, fueled by a rebellion against received wisdom and enforced conformity. Kelly also discusses ongoing debates about authenticity, the desirability of period instruments, and the relationship of mainstream opera companies and symphony orchestras to music that they often ignore, or play in modern fashion.

    Born in 1926 in France, over the course of his life he dabbled in drugs, politics, and the Paris SM scene, all whilst striving to understand the deep concepts of identity, knowledge, and power.From aesthetics to the penal system; from madness and civilisation to avant-garde literature, Foucault was happy to reject old models of thinking and replace them with versions that are still widely debated today. A major influence on Queer Theory and gender studies (he was openly gay and died of an AIDS-related illness in 1984), he also wrote on architecture, history, law, medicine, literature, politics and of course philosophy, and even managed a best-seller in France on a book dedicated to the history of systems of thought.Because of the complexity of his arguments, people trying to come to terms with his work have desperately sought introductory material that makes his theories clear and accessible for the beginner. Ideally suited for the Very Short Introductions series, Gary Gutting presents a comprehensive but non-systematic treatment of some highlights of Foucault's life and thought. Beginning with a brief biography to set the social and political stage, he then tackles Foucault's thoughts on literature, in particular the avant-garde scene; his philosophical and historical work; his treatment of knowledge and power in modern society; and his thoughts on sexuality.

    But sometimes, when obsession gets the better of scientists, they twist a noble pursuit into something sinister. Under this spell, knowledge isn’t everything, it’s the only thing—no matter the cost. Bestselling author Sam Kean tells the true story of what happens when unfettered ambition pushes otherwise rational men and women to cross the line in the name of science, trampling ethical boundaries and often committing crimes in the process.The Icepick Surgeon masterfully guides the reader across two thousand years of history, beginning with Cleopatra’s dark deeds in ancient Egypt. The book reveals the origins of much of modern science in the transatlantic slave trade of the 1700s, as well as Thomas Edison’s mercenary support of the electric chair and the warped logic of the spies who infiltrated the Manhattan Project. But the sins of science aren’t all safely buried in the past. Many of them, Kean reminds us, still affect us today. We can draw direct lines from the medical abuses of Tuskegee and Nazi Germany to current vaccine hesitancy, and connect icepick lobotomies from the 1950s to the contemporary failings of mental-health care. Kean even takes us into the future, when advanced computers and genetic engineering could unleash whole new ways to do one another wrong.Unflinching, and exhilarating to the last page, The Icepick Surgeon fuses the drama of scientific discovery with the illicit thrill of a true-crime tale. With his trademark wit and precision, Kean shows that, while science has done more good than harm in the world, rogue scientists do exist, and when we sacrifice morals for progress, we often end up with neither.

    In this heartfelt and passionate book, Frenkel shows that mathematics, far from occupying a specialist niche, goes to the heart of all matter, uniting us across cultures, time, and space.Love and Math tells two intertwined stories: of the wonders of mathematics and of one young man’s journey learning and living it. Having braved a discriminatory educational system to become one of the twenty-first century’s leading mathematicians, Frenkel now works on one of the biggest ideas to come out of math in the last 50 years: the Langlands Program. Considered by many to be a Grand Unified Theory of mathematics, the Langlands Program enables researchers to translate findings from one field to another so that they can solve problems, such as Fermat’s last theorem, that had seemed intractable before.At its core, Love and Math is a story about accessing a new way of thinking, which can enrich our lives and empower us to better understand the world and our place in it. It is an invitation to discover the magic hidden universe of mathematics.

    Highlighting the historical development and continued relevance of borders, Alexander Diener and Joshua Hagen offer a powerful counterpoint to the idea of an imminent borderless world, underscoring the impact borders have on a range of issues, such as economic development, inter- and intra-state conflict, global terrorism, migration, nationalism, international law, environmental sustainability, and natural resource management. Diener and Hagen demonstrate how and why borders have been, are currently, and will undoubtedly remain hot topics across the social sciences and in the global headlines for years to come. This compact volume will appeal to a broad, interdisciplinary audience of scholars and students, including geographers, political scientists, anthropologists, sociologists, historians, international relations and law experts, as well as lay readers interested in understanding current events.

    Why is glass see-through? What makes elastic stretchy? Why does a paper clip bend? Why does any material look and behave the way it does? These are the sorts of questions that Mark Miodownik a globally-renowned materials scientist has spent his life exploring In this book he examines the materials he encounters in a typical morning, from the steel in his razor and the graphite in his pencil to the foam in his sneakers and the concrete in a nearby skyscraper.

    The Ice Age: A Very Short Introduction looks at evidence from the continents, the oceans, and the ice core records, and the human stories behind it all. Jamie Woodward examines the remarkable environmental shifts that took place during the Great Ice Age of the Quaternary Period. He explores the evolution of ideas, evaluates the contributions of the leading players in the great debates, and presents some of the ingenious methods that have been used to retrieve information about the recent geological past.In an era of warming climate, the study of the ice age past is now more important than ever. This book examines the wonders of the Quaternary ice age - to show how ice age landscapes and ecosystems were repeatedly and rapidly transformed as plants, animals, and humans reorganized their worlds.About the Series: Oxford's Very Short Introductions series offers concise and original introductions to a wide range of subjects--from Islam to Sociology, Politics to Classics, Literary Theory to History, and Archaeology to the Bible. Not simply a textbook of definitions, each volume in this series provides trenchant and provocative--yet always balanced and complete--discussions of the central issues in a given discipline or field. Every Very Short Introduction gives a readable evolution of the subject in question, demonstrating how the subject has developed and how it has influenced society. Eventually, the series will encompass every major academic discipline, offering all students an accessible and abundant reference library. Whatever the area of study that one deems important or appealing, whatever the topic that fascinates the general reader, the Very Short Introductions series has a handy and affordable guide that will likely prove indispensable.#380

    Illustrations.

    This Very Short Introduction chronicles Mao's journey from peasant child to ruler of the most populous nation on Earth. Delia Davin provides an invaluable portrait of Mao, showing him in all his complexity--ruthless, brutal, and ambitious, a man of enormous talent and perception, yet a leader who is still detested by some and venerated by others. She shows how he helped found both the Chinese Communist Party and the Red Army, and how for many years he fought on two fronts, for control of the Party and in an armed struggle for the Party's control of the country. His revolution unified China and began its rise to world power status. He was the architect of the Great Leap Forward that he hoped would make China both prosperous and egalitarian, but instead ended in economic disaster resulting in millions of deaths. It was Mao's growing suspicion of his fellow leaders that led him to launch the Cultural Revolution, and his last years were dogged by ill-health and his despairing attempts to find a successor. Davis also looks at the years of his death, when the reform leadership abandoned Mao's revolutionary goals and embraced the market. About the Series: Oxford's Very Short Introductions series offers concise and original introductions to a wide range of subjects--from Islam to Sociology, Politics to Classics, Literary Theory to History, and Archaeology to the Bible. Not simply a textbook of definitions, each volume in this series provides trenchant and provocative--yet always balanced and complete--discussions of the central issues in a given discipline or field. Every Very Short Introduction gives a readable evolution of the subject in question, demonstrating how the subject has developed and how it has influenced society. Eventually, the series will encompass every major academic discipline, offering all students an accessible and abundant reference library. Whatever the area of study that one deems important or appealing, whatever the topic that fascinates the general reader, the Very Short Introductions series has a handy and affordable guide that will likely prove indispensable.