Yet Eli Maor argues that music has influenced math at least as much as math has influenced music. Starting with Pythagoras, proceeding through the work of Schoenberg, and ending with contemporary string theory, Music by the Numbers tells a fascinating story of composers, scientists, inventors, and eccentrics who played a role in the age-old relationship between music, mathematics, and the sciences, especially physics and astronomy. Music by the Numbers explores key moments in this history, particularly how problems originating in music have inspired mathematicians for centuries. Perhaps the most famous of these problems is the vibrating string, which pitted some of the greatest mathematicians of the eighteenth century against each other in a debate that lasted more than fifty years and that eventually led to the development of post-calculus mathematics. Other highlights in the book include a comparison between meter in music and metric in geometry, complete with examples of rhythmic patterns from Bach to Stravinsky, and an exploration of a suggestive twentieth-century development: the nearly simultaneous emergence of Einstein's theory of relativity and Schoenberg's twelve-tone system.Weaving these compelling historical episodes with Maor's personal reflections as a mathematician and lover of classical music, Music by the Numbers will delight anyone who loves mathematics and music.

    . . full of intellectual treats and tricks, of whimsy and deep scientific philosophy. It is highbrow entertainment at its best, a teasing challenge to all who aspire to think about the universe." — New York Herald TribuneOne of the world's foremost nuclear physicists (celebrated for his theory of radioactive decay, among other accomplishments), George Gamow possessed the unique ability of making the world of science accessible to the general reader.He brings that ability to bear in this delightful expedition through the problems, pleasures, and puzzles of modern science. Among the topics scrutinized with the author's celebrated good humor and pedagogical prowess are the macrocosm and the microcosm, theory of numbers, relativity of space and time, entropy, genes, atomic structure, nuclear fission, and the origin of the solar system.In the pages of this book readers grapple with such crucial matters as whether it is possible to bend space, why a rocket shrinks, the "end of the world problem," excursions into the fourth dimension, and a host of other tantalizing topics for the scientifically curious. Brimming with amusing anecdotes and provocative problems, One Two Three . . . Infinity also includes over 120 delightful pen-and-ink illustrations by the author, adding another dimension of good-natured charm to these wide-ranging explorations.Whatever your level of scientific expertise, chances are you'll derive a great deal of pleasure, stimulation, and information from this unusual and imaginative book. It belongs in the library of anyone curious about the wonders of the scientific universe. "In One Two Three . . . Infinity, as in his other books, George Gamow succeeds where others fail because of his remarkable ability to combine technical accuracy, choice of material, dignity of expression, and readability." — Saturday Review of Literature

    Air Crashes and Miracle landings is a great resource for every pilot who wants a clear summary of the Whats, Hows and Whys behind the key aviation accidents. This book should be part of Human Factors and Crew Resource Management training." Richard de Crespigny--captain of Qantas QF32 Now has eighty-five accounts, some short, some long, with hard-hitting analyses, ranging from the disappearance of Amelia Earhart to that of Malaysian Airlines MH370, not forgetting AF447 where many human factors in addition to technical ones were responsible. Each chapter covers a specific type of incident in chronological order showing the evolution of accidents over time, and how many should never happen again because of advances in technology. Covering so many incidents, it provides background facts and insights for professionals and aficionados of the Air Accident Investigations/MAYDAY TV series, amongst others Lessons from these incidents made flying so safe today.

    He spoke to his pregnant wife on the telephone before he began his evacuation after the South Tower fell. Sensing something ominous, Pasquale crouched down and huddled into a corner of the stairwell as the 110-story tower came crashing down around him. He survived the tower collapse and woke up in the open air hours later on The Pile, a stack of debris seven stories high. The firemen who rescued Pasquale shared his remarkable story of survival with the media, as did others who cared for him that day. His story became a myth, an urban legend, and an enigma that gave rise to much speculation. Here he tells his story in captivating detail of falling and "surfing' the collapse of the North Tower.Visit www.911surfer.com for more details.

    Through that observation, astronomers could calculate the size of the solar system—but only if they could compile data from many different points of the globe, all recorded during the short period of the transit. Overcoming incredible odds and political strife, astronomers from Britain, France, Russia, Germany, Sweden, and the American colonies set up observatories in remote corners of the world, only to have their efforts thwarted by unpredictable weather and warring armies. Fortunately, transits of Venus occur in pairs: eight years later, the scientists would have another opportunity to succeed.   Chasing Venus brings to life the personalities of the eighteenth-century astronomers who embarked upon this complex and essential scientific venture, painting a vivid portrait of the collaborations, the rivalries, and the volatile international politics that hindered them at every turn. In the end, what they accomplished would change our conception of the universe and would forever alter the nature of scientific research.

    It was studied from antiquity to the Renaissance as a way of glimpsing the nature of reality. Geometry is number in space; music is number in time; and comology expresses number in space and time. Number, music, and geometry are metaphysical truths: life across the universe investigates them; they foreshadow the physical sciences.Quadrivium is the first volume to bring together these four subjects in many hundreds of years. Composed of six successful titles in the Wooden Books series-Sacred Geometry, Sacred Number, Harmonograph, The Elements of Music, Platonic & Archimedean Solids, and A Little Book of Coincidence-it makes ancient wisdom and its astonishing interconnectedness accessible to us today.Beautifully produced in six different colors of ink, Quadrivium will appeal to anyone interested in mathematics, music, astronomy, and how the universe works.

    Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions that are true to the original work.

    However, while physicists celebrated these momentous discoveries—which presaged the era of big science and nuclear bombs—Europe was moving inexorably toward totalitarianism and war. In April of that year, about forty of the world’s leading physicists—including Werner Heisenberg, Lise Meitner, and Paul Dirac—came to Niels Bohr’s Copenhagen Institute for their annual informal meeting about the frontiers of physics. Physicist Gino Segrè brings to life this historic gathering, which ended with a humorous skit based on Goethe’s Faust—a skit that eerily foreshadowed events that would soon unfold. Little did the scientists know the Faustian bargains they would face in the near future. Capturing the interplay between the great scientists as well as the discoveries they discussed and debated, Segrè evokes the moment when physics—and the world—was about to lose its innocence.

    These new discoveries are part of an old tradition. In the seventeenth century the philosopher Thomas Hobbes, dismayed by the impending civil war in England, decided that he would work out what kind of government was needed for a stable society. His solution sparked a new way of thinking about human behavior in looking for the "scientific" rules of society.Adam Smith, Immanuel Kant, Auguste Comte, and John Stuart Mill pursued this idea from different political perspectives. But these philosophers lacked the tools that modern physics can now bring to bear on the matter. Philip Ball shows how, by using these tools, we can understand many aspects of mass human behavior. Once we recognize that we do not make most of our decisions in isolation but are affected by what others decide, we can start to discern a surprising and perhaps even disturbing predictability in our laws, institutions, and customs.Lively and compelling, Critical Mass is the first book to bring these new ideas together and to show how they fit within the broader historical context of a rational search for better ways to live.

    It focuses squarely on the inherent irrationality of religion, and reveals its utter irreconcilability with science. Offering several "reconciliation theories" to people of faith, it forces every reader to make a choice.Contents The Reason Revolution in historical context Questioning belief Reasons for skepticism Secular humanism as an alternative worldview Political implications of atheism The collapse of religion Hopeful predictions Reconciliation theories Comments by clergyCall to action

    He revolutionized the field of topology, which studies properties of geometric configurations that are unchanged by stretching or twisting. The Poincare conjecture lies at the heart of modern geometry and topology, and even pertains to the possible shape of the universe. The conjecture states that there is only one shape possible for a finite universe in which every loop can be contracted to a single point.Poincare's conjecture is one of the seven "millennium problems" that bring a one-million-dollar award for a solution. Grigory Perelman, a Russian mathematician, has offered a proof that is likely to win the Fields Medal, the mathematical equivalent of a Nobel prize, in August 2006. He also will almost certainly share a Clay Institute millennium award.In telling the vibrant story of The Poincare Conjecture, Donal O'Shea makes accessible to general readers for the first time the meaning of the conjecture, and brings alive the field of mathematics and the achievements of generations of mathematicians whose work have led to Perelman's proof of this famous conjecture.

    In this first anthology of its kind, Carey chooses accounts by scientists themselves--astronomers and physicists, biologists, chemists, psychologists--that are both arrestingly written and clear. Contributors include Carl Sagan, Charles Darwin, Stephen Jay Gould, Oliver Sacks, Lewis Thomas, Rachel Carson, Sigmund Freud, Henry David Thoreau, Mark Twain, and scores of others.

    In Deep Down Things, experimental particle physicist Bruce Schumm has taken this dictum to heart, providing in clear, straightforward prose an elucidation of the Standard Model of particle physics—a theory that stands as one of the crowning achievements of twentieth-century science. In this one-of-a-kind book, the work of many of the past century's most notable physicists, including Einstein, Schrodinger, Heisenberg, Dirac, Feynman, Gell-Mann, and Weinberg, is knit together in a thorough and accessible exposition of the revolutionary notions that underlie our current view of the fundamental nature of the physical world. Schumm, who has spent much of his life emmersed in the subatomic world, goes far beyond a mere presentation of the "building blocks" of matter, bringing to life the remarkable connection between the ivory tower world of the abstract mathematician and the day-to-day, life-enabling properties of the natural world. Schumm leaves us with an insight into the profound open questions of particle physics, setting the stage for understanding the progress the field is poised to make over the next decade or two.Introducing readers to the world of particle physics, Deep Down Things opens new realms within which are many clues to unraveling the mysteries of the universe.

    He traced the ownership of individual copies through the hands of saints, heretics, scalawags, and bibliomaniacs. He was called as the expert witness in the theft of one copy, witnessed the dramatic auction of another, and proves conclusively that "De revolutionibus" was as inspirational as it was revolutionary. Part biography of a book, part scientific exploration, part bibliographic detective story, "The Book Nobody Read" recolors the history of cosmology and offers new appreciation of the enduring power of an extraordinary book and its ideas.

    Hewitt's text is famous for engaging readers with analogies and imagery from real-world situations that build a strong conceptual understanding of physical principles ranging from classical mechanics to modern physics. With this strong foundation, readers are better equipped to understand the equations and formulas of physics, and motivated to explore the thought-provoking exercises and fun projects in each chapter. Included in the package is the workbook. Mechanics, Properties of Matter, Heat, Sound, Electricity and Magnetism, Light, Atomic and Nuclear Physics, Relativity. For all readers interested in conceptual physics.