The authors make these subjects accessible through carefully worked examples illustrating the technical aspects of the subject, and intuitive explanations of what is going on behind the mathematics. After presenting the basics of quantum electrodynamics, the authors discuss the theory of renormalization and its relation to statistical mechanics, and introduce the renormalization group. This discussion sets the stage for a discussion of the physical principles that underlie the fundamental interactions of elementary particle physics and their description by gauge field theories.

    Traces the history of time from Augustine's suggestion that there is no time, to the flowing time of Newton, the static time of Einstein, and then back, to the idea that there is no time in quantum gravity.

    Purchasers are entitled to a free trial membership in the General Books Club where they can select from more than a million books without charge. Subjects: Astronomy; History / General; Juvenile Nonfiction / Science

    He holds that the universe is self-aware, and that consciousness creates the physical world.

    But as an adult, when he most needs the irrefutable order and precision of science itself, Benito will learn that, despite its expansive beauty and power, it is no match for the unfathomable desires and pains of the human heart. Lightman is the acclaimed author of Einstein's Dreams.

    Their quest: to be the first to detect gravitational waves, infinitesimal quakes that stretch and compress space-time and could add a brand-new dimension to our universal knowledge-allowing us to hear a sun going supernova, black holes colliding, and perhaps one day, the remnant rumble of the Big Bang itself...

    - This is the best kind of popular science: informed, impassioned, and highly accessible.- Compare it to Stephen Hawking's The Universe in a Nutshell, but broader in scope and much more readable.- A crossover for the Young Adult market, now in the perfect format.

    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.

    Originally marked out by eye and later by use of a stretched cord, in time these forms came to be made with the simple tools of ruler and compass.This small book introduces the origins and basic principles of geometric constructions using these ancient tools, before going on to cover dozens of geometric forms, from practical fundamentals to more challenging constructions.

    Weiner reveals how foreign countries and private investors are increasingly controlling the global economy and secretly wresting power from the United States in ways that our government cannot reverse and about which the average American knows nothing. The most potent force in global commerce today is not the Federal Reserve, not the international banks, not the governments of the G7 countries, and certainly not the European Union. Rather, it is the multi-trillion-dollar network of super-rich, secretive, and largely unregulated investment vehicles—foreign sovereign wealth funds, government-run corporations, private equity funds, and hedge funds—that are quietly buying up the world, piece by valuable piece. As Weiner’s groundbreaking account shows, the shadow market doesn’t have a physical headquarters such as Wall Street. It doesn’t have a formal leadership or an index to track or a single zone of exchange. Rather, it comprises an invisible and ever-shifting global nexus where money mixes with geopolitical power, often with great speed and secrecy.   Led by cash-flush nations such as China, Kuwait, Abu Dhabi, Singapore, Saudi Arabia, and even Norway, the shadow market is hiring the brightest international financial talent money can buy and is now assembling the gigantic investment portfolios that will form the power structure of tomorrow’s economy.   Taking advantage of the Great Recession and subsequent liquidity problems in the United States and Europe, the major players of the shadow market are deploying staggering amounts of cash, controlling the capital markets, and securing not only major stakes in multinational companies but huge tracts of farmland and natural resources across the world. Yet that’s not all; they’re also pursuing political agendas made possible by their massive wealth and are becoming increasingly aggressive with the United States and other governments.   Highly informative and genuinely startling, Eric J. Weiner’s up-to-date account gets out in front of daily events, with proof of his argument destined to appear in the news for years to come. The Shadow Market moves the conversation from “international competition” to “global financial warfare,” and stands as an urgent must-read for anyone interested in the future of the global economy, America’s position in the world, or how and where to invest money today. DID YOU KNOW? ***The Pentagon has run elaborate simulations of global financial war. Result: America lost, and the shadow market won. ***The U.S. dollar is under siege as a global currency; oil-producing nations have already begun secret discussions about replacing it in oil trading. ***While Greece was burning in the spring of 2010, the shadow market nations were spending hundreds of billions of dollars all over the world rather than helping to fix the European crisis. Why? Because it wasn’t their problem. ***With its wealth of natural resources, Brazil may be more powerful than Germany, France, and Great Britain put together, and may soon rival the United States for economic supremacy in the Western Hemisphere. ***In April 2009, China told the International Monetary Fund to sell 3,217 tons of gold. How much did China buy? That’s a secret. What else is China buying? As many of the oil reserves in non–Middle Eastern countries as it can, including in Canada. It has bought so many Australian natural resource companies that Australia is getting nervous. And some would say that China has, in effect, already purchased Taiwan. ***Many of the shadow market countries are racing to improve their food-security risks by buying large swaths of farmland in other countries, potentially at the risk of starving the local citizens. Saudi Arabia has a farm the size of Connecticut in Indonesia, and Korean industrial giant Daewoo controls half the arable land of Madagascar. ***Iran is China’s third largest oil supplier and in return receives significant protection from Chinese diplomats, who are increasingly important players on the geopolitical stage. ***The shadow market countries will soon control nearly $20 trillion in assets, a sum greater than the gross domestic product of the United States.

    Hungarian-born Erdős believed that the meaning of life was to prove and conjecture. His work in the United States and all over the world has earned him the titles of the century's leading number theorist and the most prolific mathematician who ever lived. Erdős's important work has proved pivotal to the development of computer science, and his unique personality makes him an unforgettable character in the world of mathematics. Incapable of the smallest of household tasks and having no permanent home or job, he was sustained by the generosity of colleagues and by his own belief in the beauty of numbers. Witty and filled with the sort of mathematical puzzles that intrigued Erdős and continue to fascinate mathematicians today, My Brain Is Open is the story of this strange genius and a journey in his footsteps through the world of mathematics, where universal truths await discovery like hidden treasures and where brilliant proofs are poetry.

    An extremely clever account.--The New Yorker.

    How to make sense of them? The answer lies in mathematical modeling, a science with applications in a host of biological systems. Soccermatics brings the two together in a fascinating, mind-bending synthesis.What's the similarity between an ant colony and Total Football, Dutch style? How is the Barcelona midfield linked geometrically? And how can we relate the mechanics of a Mexican Wave to the singing of cicadas in an Australian valley? Welcome to the world of mathematical modeling, expressed brilliantly by David Sumpter through the prism of soccer. Soccer is indeed more than a game and this book is packed with game theory. After reading it, you will forever watch the game with new eyes.

    

    In Black Bodies and Quantum Cats, science writer Jennifer Ouellette traces key developments in the field, setting descriptions of the fundamentals of physics in their historical context as well as against a broad cultural backdrop. Newton’s laws are illustrated via the film Addams Family Values, while Back to the Future demonstrates the finer points of special relativity. Poe’s "The Purloined Letter" serves to illuminate the mysterious nature of neutrinos, and Jeanette Winterson’s novel Gut Symmetries provides an elegant metaphorical framework for string theory. An enchanting and edifying read, Black Bodies and Quantum Cats shows that physics is not an arcane field of study but a profoundly human endeavor—and a fundamental part of our everyday world.