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Hidden Harmonies

Author: Ellen Kaplan
Publisher: Bloomsbury Publishing USA
ISBN: 1608192911
Size: 49.44 MB
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A squared plus b squared equals c squared. It sounds simple, doesn't it? Yet this familiar expression is a gateway into the riotous garden of mathematics, and sends us on a journey of exploration in the company of two inspired guides, acclaimed authors Robert and Ellen Kaplan. With wit, verve, and clarity, they trace the life of the Pythagorean theorem, from ancient Babylon to the present, visiting along the way Leonardo da Vinci, Albert Einstein, President James Garfield, and the Freemasons-not to mention the elusive Pythagoras himself, who almost certainly did not make the statement that bears his name. How can a theorem have more than one proof? Why does this one have more than two hundred-or is it four thousand? The Pythagorean theorem has even more applications than proofs: Ancient Egyptians used it for surveying property lines, and today astronomers call on it to measure the distance between stars. Its generalizations are stunning-the theorem works even with shapes on the sides that aren't squares, and not just in two dimensions, but any number you like, up to infinity. And perhaps its most intriguing feature of all, this tidy expression opened the door to the world of irrational numbers, an untidy discovery that deeply troubled Pythagoras's disciples. Like the authors' bestselling The Nothing That Is and Chances Are . . .-hailed as "erudite and witty," "magnificent," and "exhilarating"-Hidden Harmonies makes the excitement of mathematics palpable.

Hidden Harmony Geometric Fantasies

Author: Umberto Bottazzini
Publisher: Springer Science & Business Media
ISBN: 1461457254
Size: 36.62 MB
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​This book is a history of complex function theory from its origins to 1914, when the essential features of the modern theory were in place. It is the first history of mathematics devoted to complex function theory, and it draws on a wide range of published and unpublished sources. In addition to an extensive and detailed coverage of the three founders of the subject – Cauchy, Riemann, and Weierstrass – it looks at the contributions of authors from d’Alembert to Hilbert, and Laplace to Weyl. Particular chapters examine the rise and importance of elliptic function theory, differential equations in the complex domain, geometric function theory, and the early years of complex function theory in several variables. Unique emphasis has been devoted to the creation of a textbook tradition in complex analysis by considering some seventy textbooks in nine different languages. The book is not a mere sequence of disembodied results and theories, but offers a comprehensive picture of the broad cultural and social context in which the main actors lived and worked by paying attention to the rise of mathematical schools and of contrasting national traditions. The book is unrivaled for its breadth and depth, both in the core theory and its implications for other fields of mathematics. It documents the motivations for the early ideas and their gradual refinement into a rigorous theory.​

Hearing Secret Harmonies

Author: Anthony Powell
Publisher: University of Chicago Press
ISBN: 0226677451
Size: 41.86 MB
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Anthony Powell’s universally acclaimed epic A Dance to the Music of Time offers a matchless panorama of twentieth-century London. Now, for the first time in decades, readers in the United States can read the books of Dance as they were originally published—as twelve individual novels—but with a twenty-first-century twist: they’re available only as e-books. In the final volume, Hearing Secret Harmonies, Nick and his contemporaries have begun to settle into the quieter stages of later life—even as the rise of the counterculture signals that a new generation is pushing its way to the front. The darkly fascinating young Scorpio Murtlock unexpectedly draws Widmerpool into his orbit, calling to mind occult and cultish doings from earlier decades; close friends leave the stage, never to be replaced in this life; and, drawing all the long, tangled strands together, Anthony Powell sounds an unforgettable requiem for an age. "Anthony Powell is the best living English novelist by far. His admirers are addicts, let us face it, held in thrall by a magician."--Chicago Tribune "A book which creates a world and explores it in depth, which ponders changing relationships and values, which creates brilliantly living and diverse characters and then watches them grow and change in their milieu. . . . Powell's world is as large and as complex as Proust's."--Elizabeth Janeway, New York Times "One of the most important works of fiction since the Second World War. . . . The novel looked, as it began, something like a comedy of manners; then, for a while, like a tragedy of manners; now like a vastly entertaining, deeply melancholy, yet somehow courageous statement about human experience."--Naomi Bliven, New Yorker “The most brilliant and penetrating novelist we have.”--Kingsley Amis

The Hidden Face Of God

Author: Gerald L. Schroeder
Publisher: Simon and Schuster
ISBN: 0743216830
Size: 25.72 MB
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Gerald Schroeder, an MIT-trained scientist who has worked in both physics and biology, has emerged in recent years as one of the most popular and accessible apostles for the melding of science and religion. He first reconciled science and faith as different perspectives on a single whole in The Science of God. Now, in The Hidden Face of God, Schroeder takes a bold step forward, to show that science, properly understood, provides positive reasons for faith. Recent research in biology, chemistry, physics, and neuroscience contains unmistakable hints about the ultimate nature of reality. Simply put, we now know not only that behind matter lies energy, but also that behind energy lies wisdom. Scientists have touched on this wisdom in the laboratory, and its implications are awesome. From the wisdom encoded in DNA and analyzed by information science, to the wisdom unveiled in the fantastic complexity of cellular life, to the wisdom inherent in human consciousness, The Hidden Face of God offers a tour of the best of modern science. Schroeder makes no attempt to "prove" the existence of God. Yet his interpretations of the work of his fellow scientists touch on life's ultimate mysteries. His wise observations on the organization of organic life, on the power of humans to make sense of their sensory inputs, and on the complexities of the code of DNA all show that life has a direction and purpose that cannot be explained in purely physical terms. Throughout, he addresses three great themes: the question of first causes (i.e., where do the laws of nature come from?); the inseparability of mind and matter; and the philosophical problem of design. To believe that a designer must have been involved, he reminds us, we need not insist on perfection or on our view of perfection in the design. The Hidden Face of God will open a world of science to religious believers, and it will cause skeptics to rethink some of their deepest beliefs.

Hearing Secret Harmonies

Author: Anthony Powell
Publisher: University of Chicago Press
ISBN: 0226677451
Size: 49.75 MB
Format: PDF, Docs
View: 7663
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Anthony Powell’s universally acclaimed epic A Dance to the Music of Time offers a matchless panorama of twentieth-century London. Now, for the first time in decades, readers in the United States can read the books of Dance as they were originally published—as twelve individual novels—but with a twenty-first-century twist: they’re available only as e-books. In the final volume, Hearing Secret Harmonies, Nick and his contemporaries have begun to settle into the quieter stages of later life—even as the rise of the counterculture signals that a new generation is pushing its way to the front. The darkly fascinating young Scorpio Murtlock unexpectedly draws Widmerpool into his orbit, calling to mind occult and cultish doings from earlier decades; close friends leave the stage, never to be replaced in this life; and, drawing all the long, tangled strands together, Anthony Powell sounds an unforgettable requiem for an age. "Anthony Powell is the best living English novelist by far. His admirers are addicts, let us face it, held in thrall by a magician."--Chicago Tribune "A book which creates a world and explores it in depth, which ponders changing relationships and values, which creates brilliantly living and diverse characters and then watches them grow and change in their milieu. . . . Powell's world is as large and as complex as Proust's."--Elizabeth Janeway, New York Times "One of the most important works of fiction since the Second World War. . . . The novel looked, as it began, something like a comedy of manners; then, for a while, like a tragedy of manners; now like a vastly entertaining, deeply melancholy, yet somehow courageous statement about human experience."--Naomi Bliven, New Yorker “The most brilliant and penetrating novelist we have.”--Kingsley Amis

Secret Harmonies

Author: Andrea Barrett
Publisher: Simon and Schuster
ISBN: 0671731378
Size: 60.41 MB
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Two lifetime friends and partners struggle to make sense of their lives in the rural hills of western Massachusetts when discord enters their marriage. Reprint.

Underground Harmonies

Author: Susie J. Tanenbaum
Publisher: Cornell University Press
ISBN: 9780801482229
Size: 52.46 MB
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This is the first book on New York's subway musicians—modern troubadours who perform on platforms, mezzanines, and even trains pounding through the city. Illustrating her account with captivating photos, Susie J. Tanenbaum draws on interviews with musicians and their audiences to explore both the vibrant culture and the intricate politics of subway music.

Duel At Dawn

Author: Amir R. Alexander
Publisher: Harvard University Press
ISBN: 9780674046610
Size: 66.56 MB
Format: PDF, Kindle
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Argues that the death of Evariste Galois, the founder of modern algebra, following a duel in 1832 marked the end of an era in mathematics.

The Science Of God

Author: Gerald L. Schroeder
Publisher: Simon and Schuster
ISBN: 1439135967
Size: 36.23 MB
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For the readers of The Language of God, another instant classic from "a sophisticated and original scholar" (Kirkus Reviews) that disputes the idea that science is contrary to religion. In The Science of God, distinguished physicist and Biblical scholar Gerald L. Schroeder demonstrates the surprising parallels between a variety of Biblical teachings and the findings of biochemists, paleontologists, astrophysicists, and quantum physicists. In a brilliant and wide-ranging discussion of key topics that have divided science and religion—free will, the development of the universe, the origin of life, and the origin of man—Schroeder argues that the latest science and a close reading of the Bible are not just compatible but interdependent. This timely reissue of The Science of God features a brand-new preface by Schroeder and a compelling appendix that addresses the highly publicized experiment in 2008 in which scientists attempted to re-create the chemical composition of the cosmos immediately after the Big Bang. It also details Schroeder’s lucid explanations of complex scientific and religious concepts, such as the theory of relativity, the passage of time, and the definitions of crucial Hebrew words in the Bible. Religious skeptics, Biblical literalists, scientists, students, and physicists alike will be riveted by Schroeder’s remarkable contribution to the raging debate between science and religion.