Pythagoras Revenge

Author: Arturo Sangalli
Publisher: Princeton University Press
ISBN: 9780691049557
Format: PDF
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The celebrated mathematician and philosopher Pythagoras left no writings. But what if he had and the manuscript had never been found? Where would it be located? Two mathematicians, one American, one British, set out, unbeknownst to each other, to find the missing manuscript.

Ghost

Author: Alan Lightman
Publisher: Vintage
ISBN: 0375713433
Format: PDF, ePub, Mobi
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Three months after being unexpectedly fired from his banking job, David takes a temporary position at a local mortuary, where he experiences an inexplicable encounter with the unknown that transforms his relationships with everyone around him, forces him to confront the shifting nature of reality, and explores the boundary between the physical world and the spiritual one. Reprint. 20,000 first printing.

The Pythagorean Theorem

Author: Eli Maor
Publisher: Princeton University Press
ISBN: 0691148236
Format: PDF, ePub, Mobi
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The author presents a complex history of the Pythagorean Theorem, examining the earliest evidence of knowledge of the theorem to Einstein's theory of relativity.

The Grand Design

Author: Stephen Hawking
Publisher: Bantam
ISBN: 0553907077
Format: PDF, Docs
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#1 NEW YORK TIMES BESTSELLER When and how did the universe begin? Why are we here? What is the nature of reality? Is the apparent “grand design” of our universe evidence of a benevolent creator who set things in motion—or does science offer another explanation? In this startling and lavishly illustrated book, Stephen Hawking and Leonard Mlodinow present the most recent scientific thinking about these and other abiding mysteries of the universe, in nontechnical language marked by brilliance and simplicity. According to quantum theory, the cosmos does not have just a single existence or history. The authors explain that we ourselves are the product of quantum fluctuations in the early universe, and show how quantum theory predicts the “multiverse”—the idea that ours is just one of many universes that appeared spontaneously out of nothing, each with different laws of nature. They conclude with a riveting assessment of M-theory, an explanation of the laws governing our universe that is currently the only viable candidate for a “theory of everything”: the unified theory that Einstein was looking for, which, if confirmed, would represent the ultimate triumph of human reason.

Our Mathematical Universe

Author: Max Tegmark
Publisher: Vintage
ISBN: 038535049X
Format: PDF, ePub, Mobi
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Max Tegmark leads us on an astonishing journey through past, present and future, and through the physics, astronomy and mathematics that are the foundation of his work, most particularly his hypothesis that our physical reality is a mathematical structure and his theory of the ultimate multiverse. In a dazzling combination of both popular and groundbreaking science, he not only helps us grasp his often mind-boggling theories, but he also shares with us some of the often surprising triumphs and disappointments that have shaped his life as a scientist. Fascinating from first to last—this is a book that has already prompted the attention and admiration of some of the most prominent scientists and mathematicians.

Aristoxenus s Ghost

Author: Mitzi DeWhitt
Publisher: Xlibris Corporation
ISBN: 1465332057
Format: PDF, Mobi
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As Vyasa, scribe of the epic Mahabarata, said, This book is about you. At first glance the material may seem to be about the specter of ancient Greek musical theory, the ghostly remains that concern a musical system long past and forgotten. However, first glances are often very deceiving. What is offered within its pages goes far beyond arid musical theorizing. As the reader soon begins to discover, permeating through-and-through, in every word on every page, is the archetypal portrait of the ever-present Self. The original and revelatory information, overflowing with meaning, emerges into the world-at-large not only from the extensive research that comes from books and libraries and institutions of higher learning, but also from the deep, quiet, inner searching for the soul. The ideas are unquestionably rich in the nutrients that feed the mind, while also nourishing the heart. Assimilating their message cannot help but inform and transform the reader. Utilizing simple but irrefutable musical mathematics, the author deftly erases centuries-long misunderstandings and speculations by bringing to light what has been lost for twenty-five hundred years: the enharmonic genus. Her point of departure is the Greek musician, Aristoxenus [c. 360 B. C.], a pupil of the philosopher Aristotle. Aristoxenus, the son of a musician, penned a seven-part treatise about music, called Elementa Harmonica. Harmonics was the science concerned with the laws of world creation and world maintenance: how they came into existence and how they were organized. Harmonics revealed the fundamental blueprint of creation, and subsequent theoretical structures. The Elementa Harmonica is considered the oldest theory text still in existence. Its influence was considerable and its theoretical ideas were passed on as doctrine by musical theorist of antiquity. Even so, much of what Aristoxenus wrote in Elementa Harmonica has been lost. Of its last three sections (Modes, Modulation, and Construction) very little remains, while the first four categories (Genera, Intervals, Notes, and Systems) continue to be the basis for heated controversy and endless confusion among scholars. The perplexities are immediately cleared up by the recovery of the enharmonic genus. Suddenly, with discovery of the long lost key, we are able to read the basic blueprint, or matrix, that reveals the universal laws. What today we call the matrix, the ancient Greeks named the katapyknosis. From the shifts within the matrix structure comes the organization of the ancient Harmonia, a word that means soul. Harmonics is really about the soul: of what it is composed, and how it is made. Being the reconciling factor, the soul integrates the inner and outer octaves, enabling the image-formation that is uniquely human. By the measure of the soul one is able to view both the world and oneself objectively. Taking a more intuitive approach than what is permitted in academia, the author describes how Aristoxenuss seven musical categories, beginning with the key of the recovered enharmonic genus, actually reveal the expanded viewpoint of an underlying hermetic tradition, one effectively preserved and transmitted by the very information contained within Elementa Harmonica itself. The bold and innovative interpretations in this work may, in all likelihood, set off a storm of controversy that will go beyond the confines of the academic community. What has been dared is the revivifying of ideas, long considered cold and dead, so they once again vibrate the eternal truths of physical and metaphysical principles. Uniquely original yet universal, crossing the lines of science and religion and philosophy, the information emerges into the world-at-large just in the nick of time, as the world approaches the brink of an abyss that cannot be bridged by the usual attempts at diplo

Philosophical Presences in the Ancient Novel

Author: J.R. Morgan
Publisher: Barkhuis
ISBN: 9077922377
Format: PDF
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This collection of essays, the result of a 2006 conference at the University of Wales in Lampeter, look at the influence of philosophical texts on the ancient novel. In both Greek and Latin novels substantial traces of philosophical ideas can be found; these essays discuss the levels on which they were intended to operate, and how they were meant to resonate with their audiences. Specific authors discussed include Xenophon of Ephesus, Achilles Tatius, Longus, Apuleius and Lucian, while the philosophical influences include Plato, Aristotle and the Stoics.