Is God a Mathematician? investigates why mathematics is as powerful as it is. From ancient times to the present, scientists and philosophers have marveled at how such a seemingly abstract discipline could so perfectly explain the natural world. More than that—mathematics has often made predictions, for example, about subatomic particles or cosmic phenomena that were unknown at the time, but later were proven to be true. Is mathematics ultimately invented or discovered? If, as Einstein insisted, mathematics is “a product of human thought that is independent of experience,” how can it so accurately describe and even predict the world around us? Physicist and author Mario Livio brilliantly explores mathematical ideas from Pythagoras to the present day as he shows us how intriguing questions and ingenious answers have led to ever deeper insights into our world. This fascinating book will interest anyone curious about the human mind, the scientific world, and the relationship between them.

    Everyday experience cannot prepare us for the sub-atomic world, where quantum effects become all-important. Here, particles can look like waves, and vice versa; electrons seem to lose their identity and instead take on a shifting, unpredictable appearance that depends on how they are being observed; and a single photon may sometimes behave as if it could be in two places at once. In the world of quantum mechanics, uncertainty and ambiguity become not just unavoidable, but essential ingredients of science -- a development so disturbing that to Einstein "it was as if God were playing dice with the universe." And there is no one better able to explain the quantum revolution as it approaches the century mark than David Lindley. He brings the quantum revolution full circle, showing how the familiar and trustworthy reality of the world around us is actually a consequence of the ineffable uncertainty of the subatomic quantum world -- the world we can't see.

    In First You Build a Cloud, K. C. Cole provides cogent explanations through animated prose, metaphors, and anecdotes, allowing us to comprehend the nuances of physics-gravity and light, color and shape, quarks and quasars, particles and stars, force and strength. We also come to see how the physical world is so deeply intertwined with the ways in which we think about culture, poetry, and philosophy. Cole, one of our preeminent science writers, serves as a guide into the world of such legendary scientific minds as Richard Feynman, Victor Weisskopf, brothers Frank Oppenheimer and J. Robert Oppenheimer, Philip Morrison, Vera Kistiakowsky, and Stephen Jay Gould.

    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.

    Before the Big Bang, there was a tiny fraction of a second during which a process called inflation expanded a seed much smaller than the nucleus of an atom into a fireball the size of a basketball -- the Big Bang itself. From this fireball, the Universe as we know it developed. The origin of the seed from which the Universe began is not known with certainty, but as John Gribbin explains the most likely explanation is that it was a fluctuation of quantum energy in an eternal sea of cosmic energy. And that means that other seeds must surely have inflated to become other universes, bubbles in the cosmic sea. It is even possible that a collision between our universe and another bubble on the sea of eternity may have left an imprint on the cosmic background radiation, the echo of the Big Bang itself. John Gribbin is an award winning science writer best known for his book In Search of Schrodinger's Cat. He studied astrophysics under Fred Hoyle in Cambridge, and is now a Visiting Fellow in Astronomy at the University of Sussex.

    Focusing on the ideas, this book considers relativity and quantum ideas to provide a framework for understanding the physics of atoms and nuclei.

    Each sketch contains Questions and Projects to help you learn more about its topic and to see how its main ideas fit into the bigger picture of history. The 25 short stories are preceded by a 56-page bird's-eye overview of the entire panorama of mathematical history, a whirlwind tour of the most important people, events, and trends that shaped the mathematics we know today. Reading suggestions after each sketch provide starting points for readers who want to pursue a topic further."

    Traditional mathematics teaching is largely about solving exactly stated problems exactly, yet life often hands us partly defined problems needing only moderately accurate solutions. This engaging book is an antidote to the rigor mortis brought on by too much mathematical rigor, teaching us how to guess answers without needing a proof or an exact calculation.In Street-Fighting Mathematics, Sanjoy Mahajan builds, sharpens, and demonstrates tools for educated guessing and down-and-dirty, opportunistic problem solving across diverse fields of knowledge--from mathematics to management. Mahajan describes six tools: dimensional analysis, easy cases, lumping, picture proofs, successive approximation, and reasoning by analogy. Illustrating each tool with numerous examples, he carefully separates the tool--the general principle--from the particular application so that the reader can most easily grasp the tool itself to use on problems of particular interest. Street-Fighting Mathematics grew out of a short course taught by the author at MIT for students ranging from first-year undergraduates to graduate students ready for careers in physics, mathematics, management, electrical engineering, computer science, and biology. They benefited from an approach that avoided rigor and taught them how to use mathematics to solve real problems.Street-Fighting Mathematics will appear in print and online under a Creative Commons Noncommercial Share Alike license.

    For the calculus-based General Physics course primarily taken by engineers and scientists.

    That collaboration would mark the dawn of modern science . . . and end in murder.Johannes Kepler changed forever our understanding of the universe with his three laws of planetary motion. He demolished the ancient model of planets moving in circular orbits and laid the foundation for the universal law of gravitation, setting physics on the course of revelation it follows to this day. Kepler was one of the greatest astronomers of all time. Yet if it hadn't been for the now lesser-known Tycho Brahe, the man for whom Kepler apprenticed, Kepler would be a mere footnote in today's science books. Brahe was the Imperial Mathematician at the court of the Holy Roman Emperor in Prague and the most famous astronomer of his era. He was one of the first great systematic empirical scientists and one of the earliest founders of the modern scientific method. His forty years of planetary observations—an unparalleled treasure of empirical data—contained the key to Kepler's historic breakthrough. But those observations would become available to Kepler only after Brahe's death. This groundbreaking history portrays the turbulent collaboration between these two astronomers at the turn of the seventeenth century and their shattering discoveries that would mark the transition from medieval to modern science. But that is only half the story. Based on recent forensic evidence (analyzed here for the first time) and original research into medieval and Renaissance alchemy—all buttressed by in-depth interviews with leading historians, scientists, and medical specialists—the authors have put together shocking and compelling evidence that Tycho Brahe did not die of natural causes, as has been believed for four hundred years. He was systematically poisoned—most likely by his assistant, Johannes Kepler. An epic tale of murder and scientific discovery, Heavenly Intrigue reveals the dark side of one of history’s most brilliant minds and tells the story of court politics, personal intrigue, and superstition that surrounded the protean invention of two great astronomers and their quest to find truth and beauty in the heavens above.

    The aim of this new revolution is to develop a "theory of everything" -- a set of laws of physics that will explain all that can be explained, ranging from the tiniest subatomic particle to the universe as a whole. Here, readers will learn the ideas behind the theories and their effects upon our world, our civilization, and ourselves.

     "Provocative, original, and unsettling." -- The New York Review of Books "An excellent writer, a creative thinker." -- Nature

    Pattern. To Provide clarity of the subject, the whole text is studded with The Jargon, Key point, Watch out and Self-test Question Window to Formula forms a new feature of the present revised edition. It contains a direct and simple formula based Numerical Problem, which will tell the students as to how the formula derived in an article is to be used to solve the problem. The article work in each chapter of unit is coupled with well graded and carefully selected Solved Numerical Problems. These Solved Numerical Problems have been categorized into two Parts. I from Board Examinations and II from Competitive Engineering Examinations, such as I.I.T., Roorkee and I.S.M., Dhanbad. Many such problems have been provided with solutions by adopting a novel technique in the form of Thought Process.

    It traces the history and cultural impact of the elements on humankind, and examines why people have long sought to identify thesubstances around them. The book includes chapters on particular elements such as gold, iron, and oxygen, showing how they shaped culture and technology. Looking beyond the Periodic Table, the author examines our relationship with matter, from the uncomplicated vision of the Greek philosophers, whobelieved there were four elements--earth, air, fire, and water--to the work of modern-day scientists in creating elements such as hassium and meitnerium. Packed with anecdotes, The Elements is a highly engaging and entertaining exploration of the fundamental question: what is the world made from?

    Captioned cartoon drawings offering an overview of universal order as they deal with various phenomena are combined with scientific commentary