The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. To help students construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. Previous Edition Hb (1994) 0-521-44116-1 Previous Edition Pb (1994) 0-521-44663-5

    Einstein's Heroes takes you on a journey of discovery about just such a miraculous language--the language of mathematics--one of humanity's mostamazing accomplishments. Blending science, history, and biography, this remarkable book reveals the mysteries of mathematics, focusing on the life and work of three of Albert Einstein's heroes: Isaac Newton, Michael Faraday, and especially James Clerk Maxwell, whose work directly inspired the theory of relativity. RobynArianrhod bridges the gap between science and literature, portraying mathematics as a language and arguing that a physical theory is a work of imagination involving the elegant and clever use of this language. The heart of the book illuminates how Maxwell, using the language of mathematics in a newand radical way, resolved the seemingly insoluble controversy between Faraday's idea of lines of force and Newton's theory of action-at-a-distance. In so doing, Maxwell not only produced the first complete mathematical description of electromagnetism, but actually predicted the existence of theradio wave, teasing it out of the mathematical language itself. Here then is a fascinating look at mathematics: its colorful characters, its historical intrigues, and above all its role as the uncannily accurate language of nature.

    This recreational math book takes the reader on a fantastic voyage into the world of natural numbers. From the earliest discoveries of the ancient Greeks to various fundamental characteristics of the natural number sequence, Clawson explains fascinating mathematical mysteries in clear and easy prose. He delves into the heart of number theory to see and understand the exquisite relationships among natural numbers, and ends by exploring the ultimate mystery of mathematics: the Riemann hypothesis, which says that through a point in a plane, no line can be drawn parallel to a given line.While a professional mathematician's treatment of number theory involves the most sophisticated analytical tools, its basic ideas are surprisingly easy to comprehend. By concentrating on the meaning behind various equations and proofs and avoiding technical refinements, Mathematical Mysteries lets the common reader catch a glimpse of this wonderful and exotic world.

    Ian Smith's Extreme Fat Smash Diet is safe, fast and ultra-effective--taking his proven weight loss system to its hard core. No gimmicks, no denying yourself entire categories of food (like carbs), no nonsense. Instead, Extreme Fat Smash Diet delivers quick, permanent results. On Extreme, you'll set yourself up for:--losing up to 12 pounds the first 3 weeks--learning your dieting profile: are you an alpha, beta or gamma?--choosing one of three cycles of dieting for three different weight loss goals: 5 pounds, 10 pounds, and 15 pounds and up--real-world exercise ideas--fresh recipes for quick, tasty meals--a schedule that allows both meals and snacks--Dr. Ian's tips and strategies to keep you on track--a maintenance plan that's designed to stickIf your dieting goal is time-sensitive, Extreme Fat Smash will work for you!

    Beautifully illustrated with old engravings as well as contemporary imagery, Sacred Number introduces basic counting systems; significant numbers from major religious texts; the importance of astronomy, geometry, and music to number quality; how numbers affect architecture. Lundy explains why the ideas of Pythagoras still resonate, and she profiles each number from one to ten to show its distinct qualities: why, for example, the golden section is associated with five, and seven with the Virgin Mary.

    But Planck's story is not well known, especially in the United States. A German physicist working during the firsthalf of the twentieth century, his library, personal journals, notebooks, and letters were all destroyed with his home in World War II. What remains, other than his contributions to science, are handwritten letters in German shorthand, and tributes from other scientists of the time.In Planck: Driven by Vision, Broken by War, Brandon R. Brown interweaves the voices and writings of Planck, his family, and his contemporaries--with many passages appearing in English for the first time--to create a portrait of a groundbreaking physicist working in the midst of war. Planck spentmuch of his adult life grappling with the identity crisis of being an influential German with ideas that ran counter to his government. During the later part of his life, he survived bombings and battlefields, surgeries and blood transfusions, all the while performing his influential work amidst aviolent and crumbling Nazi bureaucracy. When his son was accused of treason, Planck tried to use his standing as a German national treasure, and wrote directly to Hitler to spare his son's life. Brown tells the story of Planck's friendship with the far more outspoken Albert Einstein, and shows howhis work fits within the explosion of technology and science that occurred during his life.This story of a brilliant man living in a dangerous time gives Max Planck his rightful place in the history of science, and it shows how war-torn Germany deeply impacted his life and work.

    Here he recounts in his inimitable voice his experience trading ideas on atomic physics with Einstein and Bohr and ideas on gambling with Nick the Greek; cracking the uncrackable safes guarding the most deeply held nuclear secrets; accompanying a ballet on his bongo drums; painting a naked female toreador. In short, here is Feynman's life in all its eccentric—a combustible mixture of high intelligence, unlimited curiosity, and raging chutzpah.

    

     Meet the World War II female scientists who worked in the secret sites of the Manhattan Project. Recruited not only from labs and universities from across the United States but also from countries abroad, these scientists helped in-and often initiated-the development of the atomic bomb, taking a starring role in the Manhattan Project. In fact, their involvement was critical to its success, though many of them were not fully aware of the consequences. The atomic women includeLise Meitner and Irène Joliot-Curie (daughter of Marie Curie), who led the groundwork for the Manhattan Project from Europe;Elizabeth Rona, the foremost expert in plutonium, who gave rise to the "Fat Man" and "Little Boy," the bombs dropped over Japan; andLeona Woods, Elizabeth Graves, and Joan Hinton, who were inspired by European scientific ideals but carved their own paths.This book explores not just the critical steps toward the creation of a successful nuclear bomb, but also the moral implications of such an invention.

    Pence violates Clone Club's first rule to take us deeper into the show and its connections to the real world, including:Widespread myths about human clones (and Orphan Black's rejection of them)Our ugly history of eugenicsThe ethics of human experimentation, by way of Projects Castor and LedaWhat we can learn about clones and identity from twin studies and tensions among Orphan Black's clone "sisters"Kendall Malone and other genetic anomaliesThe brave new world of genetic enhancement and clonal dynasties, and how Helena and Kira Manning fit inIn the process, What We Talk About When We Talk About Clone Club reveals why Orphan Black is some of today's most engaging and thought-provoking television.

    ASIN: 0312295170

    If you're eating gluten-free, you know the challenges of bread. But now, thanks to Nicole Hunn, you can have easy, budget-friendly, delicious recipes for all your favorites, from shaped breads to flatbreads, biscuits, scones, and muffins. You'll learn to master lean crusty white bread, hearty whole-grain, fragrant cinnamon swirl, decadent cheese bread, not to mention a wild yeast starter you'll use to make everything imaginable, including a real no-rye "rye" bread. And you won't need a bread machine or any fancy supplies. Nicole covers all the essentials, including: recipes from a bread flour that makes it all work, all-purpose flour blends, a whole-grain blend, and a pastry flour; key techniques; the secrets to working ably with gluten-free dough; and even a whole section on troubleshooting. Gluten-Free on a Shoestring Bakes Bread tells you everything you need to know to make the artisan-style bread you've been missing--and at a fraction of the cost.

    Breaking down the symbols themselves, they pose a series of questions: What is energy? What is mass? What has the speed of light got to do with energy and mass? In answering these questions, they take us to the site of one of the largest scientific experiments ever conducted. Lying beneath the city of Geneva, straddling the Franco-Swiss boarder, is a 27 km particle accelerator, known as the Large Hadron Collider. Using this gigantic machine—which can recreate conditions in the early Universe fractions of a second after the Big Bang—Cox and Forshaw will describe the current theory behind the origin of mass.Alongside questions of energy and mass, they will consider the third, and perhaps, most intriguing element of the equation: 'c' - or the speed of light. Why is it that the speed of light is the exchange rate? Answering this question is at the heart of the investigation as the authors demonstrate how, in order to truly understand why E=mc2, we first must understand why we must move forward in time and not backwards and how objects in our 3-dimensional world actually move in 4-dimensional space-time. In other words, how the very fabric of our world is constructed. A collaboration between two of the youngest professors in the UK, Why Does E=mc2? promises to be one of the most exciting and accessible explanations of the theory of relativity in recent years.

    Wilczek’s groundbreaking work in quantum physics was inspired by his intuition to look for a deeper order of beauty in nature. In fact, every major advance in his career came from this intuition: to assume that the universe embodies beautiful forms, forms whose hallmarks are symmetry—harmony, balance, proportion—and economy. There are other meanings of “beauty,” but this is the deep logic of the universe—and it is no accident that it is also at the heart of what we find aesthetically pleasing and inspiring.Wilczek is hardly alone among great scientists in charting his course using beauty as his compass. As he reveals in A Beautiful Question, this has been the heart of scientific pursuit from Pythagoras, the ancient Greek who was the first to argue that “all things are number,” to Galileo, Newton, Maxwell, Einstein, and into the deep waters of twentiethcentury physics. Though the ancients weren’t right about everything, their ardent belief in the music of the spheres has proved true down to the quantum level. Indeed, Wilczek explores just how intertwined our ideas about beauty and art are with our scientific understanding of the cosmos.Wilczek brings us right to the edge of knowledge today, where the core insights of even the craziest quantum ideas apply principles we all understand. The equations for atoms and light are almost literally the same equations that govern musical instruments and sound; the subatomic particles that are responsible for most of our mass are determined by simple geometric symmetries. The universe itself, suggests Wilczek, seems to want to embody beautiful and elegant forms. Perhaps this force is the pure elegance of numbers, perhaps the work of a higher being, or somewhere between. Either way, we don’t depart from the infinite and infinitesimal after all; we’re profoundly connected to them, and we connect them. When we find that our sense of beauty is realized in the physical world, we are discovering something about the world, but also something about ourselves.Gorgeously illustrated, A Beautiful Question is a mind-shifting book that braids the age-old quest for beauty and the age-old quest for truth into a thrilling synthesis. It is a dazzling and important work from one of our best thinkers, whose humor and infectious sense of wonder animate every page. Yes: The world is a work of art, and its deepest truths are ones we already feel, as if they were somehow written in our souls.

    But not everyone cooks for a large family. This book (unlike those for six to eight people) hits the sweet spot. From Apples Cinnamon Fritters to Louisiana Fried Catfish, every recipe is created just for two.The Essential Air Fryer Cookbook for Two also makes everything fast and easy. Most recipes take 30 minutes or less and they’re designed with simple prep and minimal clean-up in mind. Nutritional information, serving size descriptions and recipes for vegetarians, vegans and the gluten-free are also included. There’s so much to savor.The Essential Air Fryer Cookbook for Two includes: Air fry 101—includes tip for getting started and trouble-shooting plus handy charts for guiding timing and temperature 100+ recipes—it’s an air fry fest featuring Chocolate Chip Zucchini, Fried Green Tomatoes, Crab Cakes with Remoulade, Apple Hand Pies and over 96 more scrumptious ideas Ingredient swaps—recipes include tips on getting the best results with ingredients you have on hand, saving time and money Weekend brunch, date night, or dinner with a friend—whatever the occasion, these tasty recipes are made to share together.