But there is one other motive which is as strong as any of these — the search for beauty. Mathematics is an art, and as such affords the pleasures which all the arts afford." In this erudite, entertaining college-level text, Morris Kline, Professor Emeritus of Mathematics at New York University, provides the liberal arts student with a detailed treatment of mathematics in a cultural and historical context. The book can also act as a self-study vehicle for advanced high school students and laymen. Professor Kline begins with an overview, tracing the development of mathematics to the ancient Greeks, and following its evolution through the Middle Ages and the Renaissance to the present day. Subsequent chapters focus on specific subject areas, such as "Logic and Mathematics," "Number: The Fundamental Concept," "Parametric Equations and Curvilinear Motion," "The Differential Calculus," and "The Theory of Probability." Each of these sections offers a step-by-step explanation of concepts and then tests the student's understanding with exercises and problems. At the same time, these concepts are linked to pure and applied science, engineering, philosophy, the social sciences or even the arts.In one section, Professor Kline discusses non-Euclidean geometry, ranking it with evolution as one of the "two concepts which have most profoundly revolutionized our intellectual development since the nineteenth century." His lucid treatment of this difficult subject starts in the 1800s with the pioneering work of Gauss, Lobachevsky, Bolyai and Riemann, and moves forward to the theory of relativity, explaining the mathematical, scientific and philosophical aspects of this pivotal breakthrough. Mathematics for the Nonmathematician exemplifies Morris Kline's rare ability to simplify complex subjects for the nonspecialist.

    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 effectively learning math and science—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 math. 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. A Mind for Numbers shows us that we all have what it takes to excel in math, and learning it is not as painful as some might think!

    The new edition provides invitations - not requirements - to use technology, as well as new conceptual problems, and new projects that focus on writing and working in teams.

    From the early Greek influences to the Middle Ages and the Renaissance to the end of the 19th century, trace the fascinating foundation of mathematics as it developed through the ages. Aristotle, Galileo, Kepler, Newton: you know the names. Now here's what they really did, and the effect their discoveries had on our culture, all explained in a way the layperson can understand. Begin with the basis of arithmetic (Plato and the introduction of geometry), and discover why the use of Arabic numerals was critical to the development of both commerce and science. The development of calculus made space travel a reality, while the abacus prefigured the computer. The greats examined in depth include Leonardo da Vinci, a brilliant mathematician as well as artist; Pascal, who laid out the theory of probabilities; and Fermat, whose intriguing theory has only recently been solved.

    Along the way we’ll learn how selection bias can explain why your boss doesn’t know he sucks (even when everyone else does); how to use Bayes’ Theorem to decide if your partner is cheating on you; and why Mark Zuckerberg should never be used as an example for anything. See the world in a whole new light, and make better decisions and judgements without ever going near a t-test. Think. Think Statistically.

    He explores the history of places, like Vienna of 1900, Renaissance Florence, ancient Athens, Song Dynasty Hangzhou, and Silicon Valley, to show how certain urban settings are conducive to ingenuity. And, with his trademark insightful humor, he walks the same paths as the geniuses who flourished in these settings to see if the spirit of what inspired figures like Socrates, Michelangelo, and Leonardo remains. In these places, Weiner asks, “What was in the air, and can we bottle it?”

    Never again will you order the Poisson Distribution in a French restaurant!This updated version features all new material.

    From Washington to Wall Street, the classroom to the workplace, unethical behavior is everywhere. None of us is immune, whether it's the white lie to head off trouble or padding our expense reports. In The (Honest) Truth About Dishonesty, award-winning, bestselling author Dan Ariely turns his unique insight and innovative research to the question of dishonesty.Generally, we assume that cheating, like most other decisions, is based on a rational cost-benefit analysis. But Ariely argues, and then demonstrates, that it's actually the irrational forces that we don't take into account that often determine whether we behave ethically or not. For every Enron or political bribe, there are countless puffed résumés, hidden commissions, and knockoff purses. In The (Honest) Truth About Dishonesty, Ariely shows why some things are easier to lie about; how getting caught matters less than we think; and how business practices pave the way for unethical behavior, both intentionally and unintentionally. Ariely explores how unethical behavior works in the personal, professional, and political worlds, and how it affects all of us, even as we think of ourselves as having high moral standards.But all is not lost. Ariely also identifies what keeps us honest, pointing the way for achieving higher ethics in our everyday lives. With compelling personal and academic findings, The (Honest) Truth About Dishonesty will change the way we see ourselves, our actions, and others.

    Economists Ivan and Tuvana Pastine explain why, in these situations, we sometimes cooperate, sometimes clash, and sometimes act in a way that seems completely random.Stylishly brought to life by award-winning cartoonist Tom Humberstone, Game Theory will help readers understand behaviour in everything from our social lives to business, global politics to evolutionary biology. It provides a thrilling new perspective on the world we live in.

    Loosely based on the form of Chaucer's Canterbury Tales, Dawkins's Tale takes us modern humans back through four billion years of life on our planet. As the pilgrimage progresses, we join with other organisms at the forty "rendezvous points" where we find a common ancestor. The band of pilgrims swells into a vast crowd as we join first with other primates, then with other mammals, and so on back to the first primordial organism.Dawkins's brilliant, inventive approach allows us to view the connections between ourselves and all other life in a bracingly novel way. It also lets him shed bright new light on the most compelling aspects of evolutionary history and theory: sexual selection, speciation, convergent evolution, extinction, genetics, plate tectonics, geographical dispersal, and more. The Ancestor's Tale is at once a far-reaching survey of the latest, best thinking on biology and a fascinating history of life on Earth. Here Dawkins shows us how remarkable we are, how astonishing our history, and how intimate our relationship with the rest of the living world.

    To its adherents, it is an elegant statement about learning from experience. To its opponents, it is subjectivity run amok.In the first-ever account of Bayes' rule for general readers, Sharon Bertsch McGrayne explores this controversial theorem and the human obsessions surrounding it. She traces its discovery by an amateur mathematician in the 1740s through its development into roughly its modern form by French scientist Pierre Simon Laplace. She reveals why respected statisticians rendered it professionally taboo for 150 years—at the same time that practitioners relied on it to solve crises involving great uncertainty and scanty information (Alan Turing's role in breaking Germany's Enigma code during World War II), and explains how the advent of off-the-shelf computer technology in the 1980s proved to be a game-changer. Today, Bayes' rule is used everywhere from DNA de-coding to Homeland Security.Drawing on primary source material and interviews with statisticians and other scientists, The Theory That Would Not Die is the riveting account of how a seemingly simple theorem ignited one of the greatest controversies of all time.

    This is done in a way that is not only easy to understand, but is actually fun! Professors and engineers, with high school and college students following closely, comprise the largest percentage of our readers. It is a must-have for anyone interested in music, mathematics, physics, engineering, or complex science. Dr. Yoichiro Nambu, 2008 Nobel Prize Winner in Physics, served as a senior adviser to the English version of Who is Fourier? A Mathematical Adventure.

    It now has 600,000 to a million page hits daily. Every now and then, Munroe would get emails asking him to arbitrate a science debate. 'My friend and I were arguing about what would happen if a bullet got struck by lightning, and we agreed that you should resolve it . . . ' He liked these questions so much that he started up What If. If your cells suddenly lost the power to divide, how long would you survive? How dangerous is it, really, to be in a swimming pool in a thunderstorm? If we hooked turbines to people exercising in gyms, how much power could we produce? What if everyone only had one soulmate?When (if ever) did the sun go down on the British empire? How fast can you hit a speed bump while driving and live?What would happen if the moon went away?In pursuit of answers, Munroe runs computer simulations, pores over stacks of declassified military research memos, solves differential equations, and consults with nuclear reactor operators. His responses are masterpieces of clarity and hilarity, studded with memorable cartoons and infographics. They often predict the complete annihilation of humankind, or at least a really big explosion. Far more than a book for geeks, WHAT IF: Serious Scientific Answers to Absurd Hypothetical Questions explains the laws of science in operation in a way that every intelligent reader will enjoy and feel much the smarter for having read.

    Lisa Sanders, author of the monthly New York Times Magazine column "Diagnosis," the inspiration for the hit Fox TV series House, M.D.The experience of being ill can be like waking up in a foreign country. Life, as you formerly knew it, is on hold while you travel through this other world as unknown as it is unexpected. When I see patients in the hospital or in my office who are suddenly, surprisingly ill, what they really want to know is, ‘What is wrong with me?’ They want a road map that will help them manage their new surroundings. The ability to give this unnerving and unfamiliar place a name, to know it–on some level–restores a measure of control, independent of whether or not that diagnosis comes attached to a cure. Because, even today, a diagnosis is frequently all a good doctor has to offer.A healthy young man suddenly loses his memory–making him unable to remember the events of each passing hour. Two patients diagnosed with Lyme disease improve after antibiotic treatment–only to have their symptoms mysteriously return. A young woman lies dying in the ICU–bleeding, jaundiced, incoherent–and none of her doctors know what is killing her. In Every Patient Tells a Story, Dr. Lisa Sanders takes us bedside to witness the process of solving these and other diagnostic dilemmas, providing a firsthand account of the expertise and intuition that lead a doctor to make the right diagnosis.Never in human history have doctors had the knowledge, the tools, and the skills that they have today to diagnose illness and disease. And yet mistakes are made, diagnoses missed, symptoms or tests misunderstood. In this high-tech world of modern medicine, Sanders shows us that knowledge, while essential, is not sufficient to unravel the complexities of illness. She presents an unflinching look inside the detective story that marks nearly every illness–the diagnosis–revealing the combination of uncertainty and intrigue that doctors face when confronting patients who are sick or dying. Through dramatic stories of patients with baffling symptoms, Sanders portrays the absolute necessity and surprising difficulties of getting the patient’s story, the challenges of the physical exam, the pitfalls of doctor-to-doctor communication, the vagaries of tests, and the near calamity of diagnostic errors. In Every Patient Tells a Story, Dr. Sanders chronicles the real-life drama of doctors solving these difficult medical mysteries that not only illustrate the art and science of diagnosis, but often save the patients’ lives.

    How does Jane Goodall’s relationship with her dog Rusty inform her thinking about our relationship to other species? Which time and place would Jared Diamond most prefer to live in, in light of his work on the role of chance in history? What does driving a sports car have to do with Steven Weinberg’s quest for the “theory of everything”? Physicist and journalist Stefan Klein’s intimate conversations with nineteen of the world’s best-known scientists (including three Nobel Laureates) let us listen in as they talk about their paradigm-changing work—and how it is deeply rooted in their daily lives. • Cosmologist Martin Rees on the beginning and end of the world • Evolutionary biologist Richard Dawkins on egoism and selflessness • Neuroscientist V. S. Ramachandran on consciousness • Molecular biologist Elizabeth Blackburn on aging • Philosopher Peter Singer on morality • Physician and social scientist Nicholas Christakis on human relationships • Biochemist Craig Venter on the human genome • Chemist and poet Roald Hoffmann on beauty