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.

    His collected essays offer a fascinating and moving look at one of the twentieth century's leading minds.Covering a fifteen year period from 1934 to 1950, the contents of this book have been drawn from Einstein's articles, addresses, letters and assorted papers. Through his words, you can understand the man and gain his insight on social, religious, and educational issues.

    From the transistor to the laser, it s hard to find an aspect of modern life that hasn t been touched by Bell Labs. Why did so many transformative ideas come from Bell Labs? In "The Idea Factory," Jon Gertner traces the origins of some of the twentieth century s most important inventions and delivers a riveting and heretofore untold chapter of American history. At its heart this is a story about the life and work of a small group of brilliant and eccentric men Mervin Kelly, Bill Shockley, Claude Shannon, John Pierce, and Bill Baker who spent their careers at Bell Labs. Their job was to research and develop the future of communications. Small-town boys, childhood hobbyists, oddballs: they give the lie to the idea that Bell Labs was a grim cathedral of top-down command and control.Gertner brings to life the powerful alchemy of the forces at work behind Bell Labs inventions, teasing out the intersections between science, business, and society. He distills the lessons that abide: how to recruit and nurture young talent; how to organize and lead fractious employees; how to find solutions to the most stubbornly vexing problems; how to transform a scientific discovery into a marketable product, then make it even better, cheaper, or both. Today, when the drive to invent has become a mantra, Bell Labs offers us a way to enrich our understanding of the challenges and solutions to technological innovation. Here, after all, was where the foundational ideas on the management of innovation were born. "The Idea Factory" is the story of the origins of modern communications and the beginnings of the information age a deeply human story of extraordinary men who were given extraordinary means time, space, funds, and access to one another and edged the world into a new dimension."

    While maintaining that “the letters record the daily life of an ordinary scientist doing ordinary work,” Dyson nonetheless has worked with many of the twentieth century’s most renowned physicists, mathematicians, and intellectuals, so that Maker of Patterns presents not only his personal story but chronicles through firsthand accounts an exciting era of twentieth-century science.Though begun in the dark year of 1941 when Hitler’s armies had already conquered much of Europe, Dyson’s letters to his parents, written at Trinity College, Cambridge, often burst with the curiosity of a precocious seventeen-year-old. Pursuing mathematics and physics with a cast of legendary professors, Dyson thrived in Cambridge’s intellectual ferment, working on, for example, the theory of partitions or reading about Kurt Gödel’s hypotheses, while still finding time for billiards and mountain climbing. After graduating and serving with the Royal Air Force’s Bomber Command operational research section, whose job it was “to demolish German cities and kill as many German civilians as possible,” Dyson visited a war-torn Germany, hoping through his experience to create a “tolerably peaceful world.”Juxtaposing descriptions of scientific breakthroughs with concerns for mankind’s future, Dyson’s postwar letters reflect the quandaries faced by an entire scientific generation that was dealing with the aftereffects of nuclear detonations and concentration camp killings. Arriving in America in 1947 to study with Cornell’s Hans Bethe, Dyson continued to send weekly missives to England that were never technical but written with grace and candor, creating a portrait of a generation that was eager, as Einstein once stated, to solve “deep mysteries that Nature intend[ed] to keep for herself.”We meet, among others, scientists like Richard Feynman, who took Dyson across country on Route 66, Robert Oppenheimer, Eugene Wigner, Niels Bohr, James Watson, and a young Stephen Hawking; and we encounter intellectuals and leaders, among them Reinhold Niebuhr, George Kennan, Arthur C. Clarke, as well as Martin Luther King, Jr.The “patterns of comparable beauty in the dance of electrons jumping around atoms” invariably replicate themselves in this autobiography told through letters, one that combines accounts of wanton arms development with the not-inconsiderable demands of raising six children. As we once again attempt to guide society toward a more hopeful future, these letters, with their reenactment of what, at first, seems like a distant past, reveal invaluable truths about human nature.

    Birth of a Theorem is Villani’s own account of the years leading up to the award. It invites readers inside the mind of a great mathematician as he wrestles with the most important work of his career.But you don’t have to understand nonlinear Landau damping to love Birth of a Theorem. It doesn’t simplify or overexplain; rather, it invites readers into collaboration. Villani’s diaries, emails, and musings enmesh you in the process of discovery. You join him in unproductive lulls and late-night breakthroughs. You’re privy to the dining-hall conversations at the world’s greatest research institutions. Villani shares his favorite songs, his love of manga, and the imaginative stories he tells his children. In mathematics, as in any creative work, it is the thinker’s whole life that propels discovery—and with Birth of a Theorem, Cédric Villani welcomes you into his.

    The text covers the basic principles and equations of fluid mechanics in the context of numerous and diverse real-world engineering examples. The text helps students develop an intuitive understanding of fluid mechanics by emphasizing the physics, and by supplying attractive figures, numerous photographs and visual aids to reinforce the physics.

    In The Constants of Nature, Cambridge Professor and bestselling author John D.Barrow takes us on an exploration of these governing principles. Drawing on physicists such as Einstein and Planck, Barrow illustrates with stunning clarity our dependence on the steadfastness of these principles. But he also suggests that the basic forces may have been radically different during the universe’s infancy, and suggests that they may continue a deeply hidden evolution. Perhaps most tantalizingly, Barrow theorizes about the realities that might one day be found in a universe with different parameters than our own.

    Snyder exposes the political passions, religious impulses, friendships, rivalries, and love of knowledge—and power—that drove these extraordinary men.  Whewell (who not only invented the word “scientist,” but also founded the fields of crystallography, mathematical economics, and the science of tides), Babbage (a mathematical genius who invented the modern computer), Herschel (who mapped the skies of the Southern Hemisphere and contributed to the invention of photography), and Jones (a curate who shaped the science of economics) were at the vanguard of the modernization of science.  This absorbing narrative of people, science and ideas  chronicles the intellectual revolution inaugurated by these men, one that continues to mold our understanding of the world around us and of our place within it.  Drawing upon the voluminous correspondence between the four men over the fifty years of their work, Laura J. Snyder shows how friendship worked to spur the men on to greater accomplishments, and how it enabled them to transform science and help create the modern world.