This sharply intelligent, consistently provocative book takes the reader on an astonishing, thought-provoking voyage into the realm of delightful uncertainty--a world of paradox in which logical argument leads to contradiction and common sense is seemingly rendered irrelevant.

    Our senses are not equipped to see the universe as it is, and routinely let us down in that quest—the world appears flat, the stars seem fixed in the heavens. That is why we invented math and science—the ultimate toolkit to explain how the world really works.In this book, mathematician Hannah Fry and geneticist Adam Rutherford investigate everyday mysteries (does your dog love you?) alongside the burning questions of time, space, and the origin of the universe. What will the end of the world look like, and when will it happen? What is time, and where does it come from? Approaching these questions and more with science and math rigorous and playful, Rutherford and Fry celebrate the weirdness of the cosmos, and reveal its secrets along the way.

    You experience it passing every day when you watch clocks tick, bread toast, and children grow. But most physicists see things differently, from Newton to Einstein to today’s quantum theorists. For them, time isn’t real. You may think you experience time passing, but they say it’s just an illusion.Lee Smolin, author of the controversial bestseller The Trouble with Physics, argues this limited notion of time is holding physics back. It’s time for a major revolution in scientific thought. The reality of time could be the key to the next big breakthrough in theoretical physics.What if the laws of physics themselves were not timeless? What if they could evolve? Time Reborn offers a radical new approach to cosmology that embraces the reality of time and opens up a whole new universe of possibilties. There are few ideas that, like our notion of time, shape our thinking about literally everything, with major implications for physics and beyond—from climate change to the economic crisis. Smolin explains in lively and lucid prose how the true nature of time impacts our world.

     Think back to the job interview you nailed (or blew). The date that went perfectly (or broke down completely.) Or the random encounter with that person who turned out to be your best friend (or the countless others that didn’t). Mere seconds of conversation have the power to alter the course of your life. It’s miraculous then that we are never taught HOW to conduct conversations. How to navigate them so that we get more of the jobs, dates, and best friends we want. It’s as if the world believes amazing conversational skills can’t be learned. Captivate shatters that belief. Inside you'll learn: How to keep conversations going without running out of things to say and facing the dreaded awkward silence How to create interesting "getting to know you" conversations without slipping into boring interview mode and turning off who you're talking to How to start conversations with strangers and approach people you don't know Real life examples of great (and terrible) conversations The two modes of conversation that allow you to connect with anyone, even when you don't have anything in common How to finish a conversation so people walk away planning on reaching out to you Read Captivate and you’ll learn how to have conversations that stand out in people’s minds and make you someone they never want to forget.

    From man's first act of counting to higher mathematics, from the smallest living creature to the dazzling reaches of outer space, Asimov is a master at "explaining complex material better than any other living person." (The New York Times) You'll learn: HOW to make a trillion seem small; WHY imaginary numbers are real; THE real size of the universe - in photons; WHY the zero isn't "good for nothing;" AND many other marvelous discoveries, in ASIMOV ON NUMBERS.

    In adollars-and-cents, bottom-line world, where numbers influenceeverything, none of us can afford to let our math skills atrophy.This step-by-step personal math trainer:Refreshes practical math skills for your personal andprofessional needs, with examples based on everyday situations. Offers straightforward techniques for working with decimals and fractions. Demonstrates simple ways to figure discounts, calculatemortgage interest rates, and work out time, rate, and distance problems. Contains no complex formulas and no unnecessary technical terms.

    Describes how fractals were discovered, explains their unique properties, and discusses the mathematical foundation of fractals.

    Tobias Dantzig shows that the development of math—from the invention of counting to the discovery of infinity—is a profoundly human story that progressed by “trying and erring, by groping and stumbling.” He shows how commerce, war, and religion led to advances in math, and he recounts the stories of individuals whose breakthroughs expanded the concept of number and created the mathematics that we know today.

    The Calculus Lifesaver provides students with the essential tools they need not only to learn calculus, but to excel at it.All of the material in this user-friendly study guide has been proven to get results. The book arose from Adrian Banner's popular calculus review course at Princeton University, which he developed especially for students who are motivated to earn A's but get only average grades on exams. The complete course will be available for free on the Web in a series of videotaped lectures. This study guide works as a supplement to any single-variable calculus course or textbook. Coupled with a selection of exercises, the book can also be used as a textbook in its own right. The style is informal, non-intimidating, and even entertaining, without sacrificing comprehensiveness. The author elaborates standard course material with scores of detailed examples that treat the reader to an inner monologue--the train of thought students should be following in order to solve the problem--providing the necessary reasoning as well as the solution. The book's emphasis is on building problem-solving skills. Examples range from easy to difficult and illustrate the in-depth presentation of theory.The Calculus Lifesaver combines ease of use and readability with the depth of content and mathematical rigor of the best calculus textbooks. It is an indispensable volume for any student seeking to master calculus.Serves as a companion to any single-variable calculus textbookInformal, entertaining, and not intimidatingInformative videos that follow the book--a full forty-eight hours of Banner's Princeton calculus-review course--is available at Adrian Banner lecturesMore than 475 examples (ranging from easy to hard) provide step-by-step reasoningTheorems and methods justified and connections made to actual practiceDifficult topics such as improper integrals and infinite series covered in detailTried and tested by students taking freshman calculus

    This is the amazing story of how the "map problem" was solved.The problem posed in the letter came from a former student: What is the least possible number of colors needed to fill in any map (real or invented) so that neighboring counties are always colored differently? This deceptively simple question was of minimal interest to cartographers, who saw little need to limit how many colors they used. But the problem set off a frenzy among professional mathematicians and amateur problem solvers, among them Lewis Carroll, an astronomer, a botanist, an obsessive golfer, the Bishop of London, a man who set his watch only once a year, a California traffic cop, and a bridegroom who spent his honeymoon coloring maps. In their pursuit of the solution, mathematicians painted maps on doughnuts and horseshoes and played with patterned soccer balls and the great rhombicuboctahedron. It would be more than one hundred years (and countless colored maps) later before the result was finally established. Even then, difficult questions remained, and the intricate solution--which involved no fewer than 1,200 hours of computer time--was greeted with as much dismay as enthusiasm.Providing a clear and elegant explanation of the problem and the proof, Robin Wilson tells how a seemingly innocuous question baffled great minds and stimulated exciting mathematics with far-flung applications. This is the entertaining story of those who failed to prove, and those who ultimately did prove, that four colors do indeed suffice to color any map.

    His Incompleteness Theorem turned not only mathematics but also the whole world of science and philosophy on its head. Equally legendary were Gö's eccentricities, his close friendship with Albert Einstein, and his paranoid fear of germs that eventually led to his death from self-starvation. Now, in the first popular biography of this strange and brilliant thinker, John Casti and Werner DePauli bring the legend to life. After describing his childhood in the Moravian capital of Brno, the authors trace the arc of Gö's remarkable career, from the famed Vienna Circle, where philosophers and scientists debated notions of truth, to the Institute for Advanced Study in Princeton, New Jersey, where he lived and worked until his death in 1978. In the process, they shed light on Gö's contributions to mathematics, philosophy, computer science, artificial intelligence -- even cosmology -- in an entertaining and accessible way.

    It is simple to do, easily explained and works for both severe and mild problems from aged three to early teenage. Many, if not most, parents feel that their children may have missed out in some way during the early years. Offering a simple, relatively trouble-free self-help method for putting that right is what parents are waiting for. "This book is written in highly accessible language", assures Oliver James. "The method is explained as simply as possible, illustrated with cases". "Love Bombing is a very simple technique which helps most children from aged three to early teenage. Because so many parents are, or have had, periods of living very busy or miserable or complicated lives, most of us need to reconnect with our children from time to time. Love Bombing does the job," explains James.

    Your body fights to keep you within a range of about 15 pounds -- also known as your "setpoint weight." New research reveals that you can lower your setpoint and end that battle for good by focusing on the quality of calories you eat, not the quantity. With The Setpoint Diet, you will reprogram your body with a 21-day plan to rev up your metabolism, eliminate inflammation, heal your hormones, repair your gut, and get your body working like that of a naturally thin person -- permanently. The Setpoint Diet is a lower-carb menu that focuses on specific anti-inflammatory whole foods, including tons of produce, nutritious proteins, and therapeutic fats. Its creator, Jonathan Bailor, founded SANESolution, a weight loss company that has reached millions of people. Proven to help you lose weight naturally and maintain it, The SetpointDiet is your new blueprint for healthy living.

    Of course, it’s not all cooking; we’ll also run the New York and Chicago marathons, pay visits to Cinderella and Lewis Carroll, and even get to the bottom of a tomato’s identity as a vegetable. This is not the math of our high school classes: mathematics, Cheng shows us, is less about numbers and formulas and more about how we know, believe, and understand anything, including whether our brother took too much cake.At the heart of How to Bake Pi is Cheng’s work on category theory—a cutting-edge “mathematics of mathematics.” Cheng combines her theory work with her enthusiasm for cooking both to shed new light on the fundamentals of mathematics and to give readers a tour of a vast territory no popular book on math has explored before. Lively, funny, and clear, How to Bake Pi will dazzle the initiated while amusing and enlightening even the most hardened math-phobe.

    Shows how any proof can be understood as a sequence of techniques. Covers the full range of techniques used in proofs, such as the contrapositive, induction, and proof by contradiction. Explains how to identify which techniques are used and how they are applied in the specific problem. Illustrates how to read written proofs with many step-by-step examples. Includes new, expanded appendices related to discrete mathematics, linear algebra, modern algebra and real analysis.