Time and space as we know them will disappear from the scientific picture of the world, in the same way in which the centre of the universe did”. In this agile text, derived from a long interview, Carlo Rovelli, theoretical physicist and pioneer of modern quantum gravity, describes his personal and intellectual journey, starting from the rebellion of his young years and the discovery of the “enchanting adventure” of theoretical research, till the vertiginous hypotheses of today’s physics. In a simple language, Rovelli introduces us to a “space” made of grains, a “time” which is the result of our ignorance, to hot black holes and how to think about the beginning of the universe. But he also discusses the value, the risks, and the fascination of this quest. Science, for Rovelli, is a continuous exploration of new ways of thinking the world, the desire of looking “beyond the hill” and seeing the world always with new eyes, the choice of never giving up dreams.

    In this guide for students, each equation is the subject of an entire chapter, with detailed, plain-language explanations of the physical meaning of each symbol in the equation, for both the integral and differential forms. The final chapter shows how Maxwell's equations may be combined to produce the wave equation, the basis for the electromagnetic theory of light. This book is a wonderful resource for undergraduate and graduate courses in electromagnetism and electromagnetics. A website hosted by the author at www.cambridge.org/9780521701471 contains interactive solutions to every problem in the text as well as audio podcasts to walk students through each chapter.

    Ideal for the layperson, this book will challenge the way you understand the world.The ideas explored include: Theory of relativity; Schrödinger's cat; Nuclear forces: fission and fusion; Antimatter; Superconductivity.

    It ranges from the study of the universe itself to the smallest particles of matter contained within it - and everything in between. It explores everything from the big bang to theories about the end of the universe. If you want to better understand our physical world, as most of us do, gaining a basic understanding of science itself is profoundly important - yet many are intimidated by the breathtaking scope of such an endeavor. Now an award-winning science teacher has taken out the intimidation, harnessing that breathtaking scope into a series of 60 exciting, comprehensive, and accessible lectures that let you explore and understand the wealth of ideas, discoveries, and principles in all of the physical and biological sciences. You learn that understanding science comes from understanding not only its component disciplines - each of which has its own theories, pioneers, problems, and fundamental questions - but of knowing how these disciplines work with one another to create an entire mosaic of human knowledge. The lectures have been crafted to make those relationships crystal-clear, with an integrated approach that takes you through all of the major disciplines that fall under the umbrella of "science," including physics, chemistry, Earth science, geophysics, and biology. Each lecture covers one of the 60 fundamental principles of the scientific world - offering you new knowledge and insight into topics such as the scientific method, gravitation, atoms, the big bang, plate tectonics, volcanoes, proteins, ecosystems, and electricity.

    Book is unique in its emphasis on the frequency approach and its use in the solution of problems. Contents include: Fundamentals and Algorithms; Polynomial Approximation — Classical Theory; Fourier Approximation — Modern Theory; and Exponential Approximation.

    C. Escher and composer Johann Sebastian Bach, discussing common themes in their work and lives. At a deeper level, the book is a detailed and subtle exposition of concepts fundamental to mathematics, symmetry, and intelligence. Through illustration and analysis, the book discusses how self-reference and formal rules allow systems to acquire meaning despite being made of "meaningless" elements. It also discusses what it means to communicate, how knowledge can be represented and stored, the methods and limitations of symbolic representation, and even the fundamental notion of "meaning" itself. In response to confusion over the book's theme, Hofstadter has emphasized that GEB is not about mathematics, art, and music but rather about how cognition and thinking emerge from well-hidden neurological mechanisms.

    This invaluable treasure of the Western philosophical canon has eluded us so far because Schopenhauer's argument has been consistently misunderstood and misrepresented, even at the hands of presumed experts. Hoping to change this situation, Decoding Schopenhauer's Metaphysics, offers a conceptual framework, a decoding key for unlocking the sense of Schopenhauer's metaphysical contentions in a way that renders them mutually consistent. With this key in mind, even those who earlier dismissed Schopenhauer's metaphysics should be able to return to it with fresh eyes and at last grasp its meaning. And for those as yet unacquainted with Schopenhauerian thought, this volume offers a succinct and accessible entry path.

    Collected here to keep your wits sharp, The Best Brain Teasers of All Time features the cleverest brain teasers from around the world and throughout history.The Best Brain Teasers of All Time gives you hours of fun-filled entertainment with brain teasers that develop your problem-solving skills in math, logic, and wordplay. Organized as an integrated challenge, these brain teasers build in momentum as they increase in difficulty from classic nursery rhymes to the riddle of the sphinx.The Best Brain Teasers of All Time puts your mind to the test with: 125 Brain Teasers that require no special skills to solve. Plus, each question comes with an optional clue in case you get stumped and a handy answer key in the back to test yourself or play with friends Brain Teasers for Every Level that cater to beginners and advanced masterminds alike, with brain teasers organized by level of difficulty to improve your skills as you move forward Hints of History that provide fun facts and background information for every brain teaser Get ready to sharpen your wit with every “aha” moment. The Best Brain Teasers of All Time is a go-to source for timeless fun and mind-blowing challenges.

    But now, with the aid of high-speed computers, scientists have been able to penetrate a reality that is changing the way we perceive the universe. Their findings -- the basis for chaos theory -- represent one of the most exciting scientific pursuits of our time.No better introduction to this find could be found than John Briggs and F. David Peat's Turbulent Mirror. Together, they explore the many faces of chaos and reveal how its law direct most of the processes of everyday life and how it appears that everything in the universe is interconnected -- discovering an "emerging science of wholeness."Turbulent Mirror introduces us to the scientists involved in study this endlessly strange field; to the theories that are turning our perception of the world on its head; and to the discoveries in mathematics, biology, and physics that are heralding a revolution more profound than the one responsible for producing the atomic bomb. With practical applications ranging from the control of traffic flow and the development of artifical intelligence to the treatment of heart attacks and schizophrenia, chaos promises to be an increasingly rewarding area of inquiry -- of interest to everyone.

    

    It moves beyond a mere study of algorithms without sacrificing the rigor that faculty desire. As in every edition, Winston reinforces the book's successful features and coverage with the most recent developments in the field. The Student Suite CD-ROM, which now accompanies every new copy of the text, contains the latest versions of commercial software for optimization, simulation, and decision analysis.

    Be prepared to question the world you live in and everything you thought you knew about the universe, human origins, and the lost civilizations of the past. Discover thought-bending evidence from some of the oldest text ever written and learn the reasons why their content eventually became suppressed and hidden from most of society. Conspiracy theories or conspiracy facts, you decide what's real based on the evidence. Once you read The Stage of Time, your perspective on reality may never be quite the same way again. This book includes: -Details about the ancient civilizations that once existed around the world and the events which led to their disappearance. -Translations from ancient texts that include: The Atrahasis, Enuma Elish, Sumerian King List, Eridu Genesis, Code of Hammurabi, Emerald Tablets, and more. -The eagle and the serpent, cataclysms during the last ice age, and the influences of the Anunnaki. -Secrets of consciousness, reincarnation, spirituality, and sentient life in the universe.

    Focused on helping students understand and construct proofs and expanding their mathematical maturity, this best-selling text is an accessible introduction to discrete mathematics. Johnsonbaugh's algorithmic approach emphasizes problem-solving techniques. The Seventh Edition reflects user and reviewer feedback on both content and organization.

    Shankar, a well-known physicist and contagiously enthusiastic educator, was among the first to offer a course through the innovative Open Yale Course program. His popular online video lectures on introductory physics have been viewed over a million times. In this concise and self-contained book based on his online Yale course, Shankar explains the fundamental concepts of physics from Galileo’s and Newton’s discoveries to the twentieth-century’s revolutionary ideas on relativity and quantum mechanics.   The book begins at the simplest level, develops the basics, and reinforces fundamentals, ensuring a solid foundation in the principles and methods of physics. It provides an ideal introduction for college-level students of physics, chemistry, and engineering, for motivated AP Physics students, and for general readers interested in advances in the sciences. Instructor resources--including problem sets and sample examinations--and more information about Professor Shankar's course are available at http://oyc.yale.edu/physics/phys-200.